![]() ![]() Type the chkdsk C: /F /R /X command, and replace C: with your drive letter. ![]() Search for the Command Prompt and select Run as administrator.Using it is straightforward you only need to follow the steps below to get your HDD up and running again: Use CHKDSKĬHKDSK is a command-line utility that checks your disk's health and repairs minor issues. Let's take a look at the most reliable ones. You can use several methods to check the health of your hard drive. How To Check Hard Drive Health on Windows 11/10 Once you notice something, try to repair your component. You can't boot or access your Windows device if something goes wrong with your drive.Ĭheck for all unusual activities to determine whether something is wrong with your drive. Blue or black screen of death - The BSOD is the final and most dangerous symptom of hard drive failure. ![]()
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![]() ![]() ![]() The sound is brilliant and is great for writing ominous choral parts (hence the name) but can also sound very beautiful and angelic when used with more major tonalities. What’s more is that by downloading The Free Orchestra, not only are you getting a fantastic choir plugin but also all the other high-quality instruments included in this library! Sound Examplesīefore writing this article, we were unfamiliar with Haunted Choir by Fluffy Audio but we have to say we’re very impressed with the quality of this free choir VST. This limits the expressive capabilities of the choir but doesn’t make it unusable as it can be improved by adjusting the attack value of the envelope.ĭespite a few flaws this library is seriously impressive and an incredible choice for beginners, or those who don’t have the budget for the entire library. Instead of the dynamics sounding like they go from very quiet to very loud, it sounds more like it starts at a medium volume when the modulation wheel is at its lowest value. It also comes with dynamic layers, but the range sounds too small. In fact, it seemed to ruin sound quality when I enabled it. There is a vowel control in this plugin but what it does is a mystery to me. Instead, there is one long patch, which may be a problem if you need different vocal articulations in your track. Like pretty much every entry on this list, this free choir VST plugin does not come with multiple articulations. ![]() The interface is also very intuitive and includes a control panel that lets you adjust envelope features such as attack and release, as well as audio effects like filter and limiter. Since it’s a selection from a professional product, the Luminous choir plugin has a very realistic and high-quality sound. With the Free Orchestra, you get 1GB of free cinematic sounds from Project Sam’s flagship libraries! Included in this is the Luminous Choir, which comes from the library Symphobia 3: Lumia. But did you know about their Free Orchestra pack? ![]() If you’re a beginner or someone who uses the choir more as a background texture, then spitfire labs choir is the perfect choice for you! Sound Examplesįor those who are familiar with orchestral libraries, the name Project Sam is probably already known to you. Instead, the voices overlap around the middle of the keyboard, which is *okay* but slightly limits the range available for both voice types.ĭespite these minor limitations, we can’t stress enough how good this choir plugin is. One is that the only patch available is the ‘long’ preset, so no staccato, unique choral sounds or vowel selection can be done with this library.Īnother is, Labs only has one choral patch, meaning we don’t have separate female and male choirs. There are a few limitations to this choir library, however. Combine that with some MIDI automation on your dynamics and expression controller lanes and you’ve got yourself a great sound. This library also comes with its own built-in reverb as well as ADSR controls so can you can shape the sound of the choir to how you want. Well, first of all, it was recorded at Air Studios, London, one of the best studios in the UK! Secondly, it samples the Eric Whitacre Singers and the session was run by Eric Whitacre himself, one of the most successful composers of choral music around today. ![]() ![]() ![]() 160 MAX GPM, 24 FT MAX HEAD, 2' DISCHARGE. Therefore it is considered a "Custom Product" and cannot be returned for a refund. Liberty Pro370-Series Pre-Packaged Sewage Pump System with 1/2 HP Sewage Ejector Pump Print. ![]() Also, the size of the holding basin counts. Sewage ejector systems are rated in horsepowers. The size here refers to the capacity of the pump. Category: Duplex Sewage Package Voltage: 440-480 V Overall Dimensions (L x W x H): 30 x 36 x 42 Item Weight (lbs): 269.00 lbs Brand: Liberty Pumps. This item is custom built to our customers' site specific needs. Another factor to take into consideration is the size of the sewage ejector system to purchase. Two 2-pole definite purpose contactors (100,000 cycle rating).360 degree red alarm light, High decible audible buzzer (100 dB).Also included with the basin is a 4' inlet hub made of cast iron construction. Includes 20ft Mechanical Float Switch for Automatic Operation Pumps Sump Pumps Toilet Pump System Transfer Pumps Trash Pumps Turbine Pumps Utility Pumps Water Fall Pumps Well Pumps. Overview Little Giant Duplex Systems feature a one-piece, seam-free basin construction with durable steel gasketed cover as added protection against wastewater seeping in or out.2'' NPT Vertical Female Discharge, 2'' Solids Handling.2'' SCH 40 Discharge Pipe Sealed with Grommet.Risers Available To Bring Access To Grade. ![]() ![]()
![]() ![]() The car hitbox is now much flatter from the front, which results in more stable aerials! Player 2 can now use the Control key for boost, as many players had reported that they didn't have the Num 0 key on their laptops. This allows for much better control while chasing the ball. While they're not good for aerials, it's definitely a fun alternative for two player chaos!Ĭars now have brakes, which can be triggered by pressing "S" (P1) or Down (P2). I'm hoping you guys will enjoy the "Bouncy" ball presets. After creating "Light", I realized how much better it was, especially for aerials so it's now the default car preset. "Medium" is the one that was default for cars previously. You can now modify the Car and Ball physics, by choosing between the presets given in the main menu: This update is titled Physics Update, but it also contains a lot of other stuff - so make sure to read it all! At the bottom I also mention new features coming in future updates. Be sure to check it out on itch.Share on Twitter Share on Facebook v1.1 PHYSICS UPDATEĪfter 3 years, I am back to working on this game because you all deserve updates! Rocket League 2D Fangame is a fun little game for a good dose of laughter. "The AI really just double tapped into his own goal" - Someoneman_12 Especially with the AI, which is even dumber than the one in Rocket League itself: ![]() The game, which is developed by one person and only sporadically updated, unfortunately has its problems. This, too, has awakened the sporting spirit of some users: "i think i have the world record for the longest time in the air. ![]() (Credit: itch.io/Psyonix)Īlso, for some unknown reason, 20 points are awarded to a random counter when the ball is held in the air for a second. A phenomenal feature of the game is a missing time limit, which led to players constantly trying to outdo each other with absurd results: "okay i'm unstoppable i scored 3000 goals took me a whole week" - demonslayer Matches in Rocket League 2D Fangame last for as long as you can stomach it. The game was released quite a while ago, and in the meantime, it has attracted quite a few "fans", or rather "curious" people. That's why we recommend the download, which is also only a few MB in size. You can play the game in any browser, but: with Google Chrome the game unfortunately runs quite badly (for whatever reason). But yes: you can do cool flips! Also, the game has the original sounds from Rocket League, which coupled with this, rather minimalistic, graphics triggers weird feelings in us. There is only a 1vs1 mode, and you can also only move left or right, jump and boost. The name says it all: Rocket League 2D Fangame is a two-dimensional version of Rocket League. It was developed by Gurpreet Singh Matharoo and is one of many small games he developed with Game Maker: Studio and published on itch.io. The game is actually pretty damn funny! Rocket League 2D Fangame is - big surprise incoming - a fangame that you can play and download for free on the alternative gaming platform itch.io. (Credit: itch.io/Psyonix)īefore you ask: no, we're not drunk. Rocket League 2D Fangame - What The Heck?! The Rocket League 2D Fangame looks a bit. If you're looking for a pure and unique gaming experience, and maybe a laugh or two, then look no further: play the Rocket League 2D Fangame! But you know what the game is missing? That's right: a 2D perspective. The action, the speed, the pure adrenaline that is exuded with every boost - just a fantastic experience through and through. Be sure to check it out, you won't believe your eyes. The latest curiosity from the Internet is a Rocket League 2D Fangame, which brings the sport of autoball into the second dimension. Rocket League is extremely popular and so there are many fans showing their affection towards the game in a special way. Rocket League in 2D? You have to see this! (Credit: Lethamyr via YouTube) ![]() ![]() However, because Acid Shaders doesn’t really work like most shader packs, many users will probably want to steer clear of it for something more like what they expect. A fairly large list of quality Minecraft 1.11.2 Shader Packs designed by various artists. With low resource requirements, pretty much anyone who can play Minecraft can use Acid Shaders. It makes the world look disturbing in a sense, and it will definitely make you do double-takes, stop to blink, and repeatedly ask yourself if what you’re seeing on the screen is what’s actually happening in the game. ![]() If you’re looking for an interesting take on the same old Minecraft gameplay, you might really like the Acid Shaders shader mod. This is not a resource-intensive shader pack like some others, but that is only because it doesn’t focus on lighting and shadow effects so much as distorting the landscape and altering the player’s perception of the world surrounding them in a different way. As the author has said before, if you can run Minecraft without issues, then you should be able to run Minecraft with Acid Shaders installed and get improved visuals without suffering a major hit to performance and rendering speeds. Getting back to the requirements, though, GLSL Acid Shaders is actually pretty easy for most players to use. Playing Minecraft with this enabled is almost like being on drugs. The farther you are from something, the more distorted it becomes, thanks to this shader pack, which is doubtless what inspired the name Acid Shaders. You can immediately see this in the psychedelic effects which occur on objects and environmental aspects that are far away from the player, or you. Unlike many shader packs, which focus on creating a sense of realism by making light bend and move in a more realistic way in Minecraft, Acid Shaders is more for people who want a surreal experience that breaks away from reality. This shader pack doesn’t require any additional software or mods to work correctly, so you should be able to just install it and play with it, especially since it is not resource-intensive like many other shader packs. It may have some issues working with the latest version of Minecraft (1.19) because Acid Shaders came around a few years ago, back before any of the new items, objects, and models were added to the game. If you like shaders in Minecraft, be sure to leave us a comment and write which one you prefer and how you like this one.The Acid Shaders mod is like many other shader mods in that it affects the way lights, shadows, and shade work in the world of Minecraft. Start Minecraft, choose Minecraft with Forge installed and go to Options > Video Settings > Shaders and choose desired shader Download BSJE Shaders packįor all Minecraft versions, 1.14.x, 1.13.x, 1.12.x, 1.11.x, 1.10.x and other versionsīSJE Shaders pack, all version links > Show all DOWNLOAD links Install Forge and put Optifine in mods folder (you can also install Optifine, but we preffer to have it in mods folder)Ĥ. The fact that this resource pack is able to keep the graphics looking great without being. This texture pack will become a favorite of many players because of how well the textures in this pack look on screen. Mizuno’s 16 Craft resource pack enhances the world of Minecraft with impressive visuals. If you don’t have this folder, create this folder by yourself.ģ. Mizuno’s 16 Craft Resource Pack 1.20 / 1.19. Download the shaders pack and put all versions you like to the shaderpacks folder, inside of minecraft folder. Like the Acid Shaders, they are based entirely on vertex transformations and should yield little, if any, performance loss. Animal Crossing Shaders (1.20.4, 1.19.4) is a shaderpack that maps the local terrain onto a sphere, similar to the Animal Crossing games. – Linux (most distributions), Minecraft folder is located on /home/yourusername/.minecraft ( dot (.) folder is hidden directory on Linux, so press Ctrl+H to unhide folder)Ģ. Animal Crossing Shaders (1.20.4, 1.19.4) Mapping the Local Terrain onto a Sphere. Now open folder Applicaion Support and look for Minecraft. ![]() – OSX (MAC) open Finder, hold down Alt and click Go, then click on the Library in the top menu bar. – Windows OS start Run from start menu and type %appdata% and then click on Run. ![]() Locate and open the Minecraft application folder. How to Download Better Vanilla Animals 1.19.2 Resource Pack: Step 1: How to Download from. Screenshots How to install BSJE Shaders packįor Minecraft version 1.7.0 and newer versionsġ. The requirements are, of course, the inevitable Optifine mod, D1 or later, and of course OpenGL 4.1 compatible hardware. Terrain Deformation – “Animal Crossing” and “Acid” deformations Options supported by BSJE Shaders pack are:ħ.Terrain Parallax – 3D blocks with a supported texture packĨ.Multi-Layered Shading Pipeline – Everything is correctly shaded, even behind semi-transparent blocksĩ. The current status of this project is that BSJE Shaders pack is not yet a completed project and is still under development, so you can continue to monitor or even support this project. ![]() ![]() ![]() ![]() You now have the full version of Microsoft Office 2013, without any limitations, installed on your computer.Select “Install now” and follow on-screen instructions to install Office 2013. Open the “Software Files” and run “setup.exe”.If you don’t know how to extract, see this article. ![]() This might take from a few minutes to a few hours, depending on your download speed. Click on the download button(s) below and finish downloading the required files.How to Download and Install Microsoft Office 2013 1 to 2 GB of RAM (depending on architecture, 32 or 64 bits),.Microsoft Office 2013 System Requirements Outlook introduced the most noticeable changes, including a new view of scheduled operations.PowerPoint included new templates, models and transition effects.Excel introduced a tool to filter data in a time line, the possibility of converting Roman numerals to Arabic numbers, and the integration of advanced trigonometric functions.In Microsoft Word, the possibility of inserting video and audio online and the diffusion of documents on the web were implemented.On May 16, 2011, build 2703.1000 (Milestone 2) was leaked after some screenshots were leaked previously in March 2011. The development of Office 2013 began in 2010 while Microsoft was completing work on Microsoft Office 2010. Office 2013 abandoned support for Windows XP, Windows Vista and Windows Server 2008, signalling a new era of Windows operating systems, namely Windows 8 and 10. Office 2013 introduces extended file format support, touch input support and a renewed interface based on the Microsoft design language, combined with the new ribbon interface layout which users have seen since the previous version, which also led to the removal of complicated cascading menus. You now have the full version of Nsasoft Office Product Key Finder v1.5.6.0 installed on your PC.Microsoft Office 2013 (codename Office 15) is the 2013 version of Microsoft Office personal productivity software for Microsoft Windows, and the successor to Microsoft Office 2010.Copy OfficeProductKeyFinder.exe from the Crack folder into your installation directory, and replace the previous file.Run officeproductkeyfinder_setup.exe and install the software. ![]() How to Download and Install Nsasoft Office Product Key Finder v1.5.6.0
![]() ![]() Tax time preparation and deductionsįirst and foremost, managing expenses helps independent contractors keep track of their financial data and accurately calculate their taxable income. Managing independent contractor expenses is necessary for several reasons. Why is it important to manage independent contractor expenses? Managing finances efficiently and accurately, which helps the contractor maximize their income and reduce their tax liability.Ensuring that all expenses are accounted for and that the contractor isn’t missing out on any tax deductions.Organizing and categorizing expenses, making it easier to identify areas where costs can be reduced.Using an independent contractor expenses spreadsheet has several benefits, such as: ![]() Using an independent contractor expenses spreadsheet, freelancers can do simple record keeping for the money spent to run their business, including fees for equipment, supplies, transportation, and other miscellaneous costs.īy keeping track of their expenses, independent contractors can accurately calculate their net income. Independent contractors, since they work for themselves, must manage their finances, including tracking expenses and filing taxes. Manually calculating expenses with a laptop and a calculator. Spreadsheets can be created using Microsoft Excel or Google Sheets, allowing users to sort and filter their financial data. What is an independent contractor expenses spreadsheet?Īn independent contractor expenses spreadsheet is a tool that helps independent contractors track business expenses.Įxpense spreadsheets have a table where you can record the costs incurred while freelancing. ![]() 5 Tips for managing independent contractor expenses.How do you categorize and calculate expenses in spreadsheets?.What expenses should be tracked in an expense spreadsheet?.How do you create an independent contractor expenses spreadsheet?.Bonus: Shoeboxed to streamline your expense tracking Hello Bonsai’s self-employed expenses spreadsheet Freshbooks’ free contractor invoice template Keeper Tax’s independent contractor expenses spreadsheet ‘s independent contractor expenses spreadsheet What are the best independent contractor expenses spreadsheet templates?.Business organization and accurate records Why is it important to manage independent contractor expenses?.What is an independent contractor expenses spreadsheet?. ![]() ![]() ![]() The user interface design is also simple and intuitive, hosting all these unique features without looking crowded or overwhelming.ĭo you want to add funny cartoons to your images to make them unique and fun? Users are able to do this with the photo editing software too. In addition to that, it also allows for text editing, has preset effects, photo montage, automatic image enhancement, photo collage, batch processing, clone stamp, cropping, brightness adjustment, contrast adjustment, and color splash. There are the basic functions you would expect from any great photo editing software, such as photo effects, filters, image manipulation, and masks. The tool is an extremely simple to use photo editing software for Windows 10 that is loaded with useful features and functions. Photo Editing Software - Free Download Here!įeatures of the Simple Photo Editing Software for Windows 10 These features make the software stand out among other photo editing software for PC Let the photo editor be at the back of your mind whenever you think about photo editing software download. Whether it is fixing those family photos or touching up wedding photos, the tool has got you covered. This application is perfect for correcting errors and adding cool effects to pictures to make them really stand out. It is during such times that you need to reach for a photo editing software for Windows 10 free download. Or maybe you just really like the picture but would like to enhance it a little bit before you frame it and hang it. off? Perhaps your baby has cat eye in that perfect picture. ![]() Have you ever captured that perfect shot that looks really good, but one tiny detail seems to be just. Then comes this easy photo editing software for Windows 10 to the rescue. Sometimes we notice that our photos need some touching up, but we do not want to pay an expensive professional photo editing software to do the job for us. When Do You Need Such Easy Photo Editing Software for Windows 10? They will gladly walk you through how to use the photo editor software while patiently answering your questions to make sure you understand all the features of the software in detail. Their support staff is quick to respond and help, and people are able to contact them any time, day or night. Besides being faster in editing photos than all the major competition, as the cherry on top, this photo editing software for Windows 10 has one of the best customer support services you will ever get from a photo editing company. Its simplicity makes for a super-fast editing process, allowing you to get exactly what you want in no time at all. This easy-to-use software for editing photos has been specifically designed for Windows and is packed with all the major features that even an expert would appreciate. It is very intuitive and easy to use, allowing anyone to be able to create amazing work with it, even if they have never used any other photo editing software before.Ĭolor splash pictures with the great good photo editing software for Windows 10 This software stands out because it was created with the users in mind. You do not need to use a complex piece of photo editing software for Windows 10 computer that is barely usable to make your photos look great. ![]() Photo editing does not have to be a complicated process. ![]() If you have been looking for a simple photo editing software for Windows 10, this is it. This photo editing software for Windows 10 is easy to understand for everyone.įor laymen as well as for advanced users it is the suitable software for Windows. ![]() ![]() Pour yourself a drink and watch the sunset to really bring the experience home.Īdd India to Your Itinerary. You may want to add it to your jerk chicken or a pork stew over rice. Want a Caribbean Holiday? Open a bottle of Mad Dog 357 Scorpion Hot Sauce and taste a little island heat. Think tacos, burritos to start it off, but you don’t need to end there. Ready to begin your international holidays with a slow burn rather than deep heat? Start with something simple, like some Habanero Pepper Puree. That has just as much to do with the travel bans other countries have in place, as your own comfort and security.īut you can travel the world through the various varieties of chili peppers and regional hot sauces you probably have in your kitchen right now. On the downside, you’re not getting on a plane out of the country any time soon. ![]() If you want a positive spin on the situation, think of it as a chance to clear through your hot sauce stash. ![]() All of our products are made in the USA, using only the finest, all-natural ingredients.Everyone is staying home these days – even as lockdown regulations ease across the country. We make each sauce in hand-measured, small batches to ensure incredible flavor and quality. We make great-tasting and award-winning hot sauces, extreme hot sauces, and pepper extracts. Reaper & Ghost peppers, red wine vinegar, white distilled vinegar, fresh chopped onions & garlic, natural sugar, fresh lime juice, capsicum powder, natural peach flavor, natural mango flavorĭue to the EXTREME nature of this product, please read the following disclaimer: Click HERE to read the discla imer.Īt Ashley Food Company, we do one thing. Are you ready to embark on a flavor adventure that combines the best of nature's bounty with scorching intensity? Ingredients: But remember, this sauce is not for the faint of heart-its verified heat will leave you craving more. Brace yourself for the sweet and fiery encounter that awaits. Its versatility as a dipping sauce, marinade, or ingredient in creative recipes makes it a must-have addition to any food lover's pantry.Įxperience the true essence of tropical heat with Mad Dog 357 Pure Gold Mango Peach Edition. Whether you're adding a tantalizing twist to your favorite dishes, exploring flavor combinations, or seeking a thrilling hot sauce adventure, Mad Dog 357 Pure Gold Mango Peach Edition is your go-to choice. It's a testament to the commitment of Mad Dog 357 to deliver nothing but the best to spice enthusiasts around the world. Its reputation as a high-quality and flavorful sauce is backed by its verified ingredients and exceptional taste. ![]() Mad Dog 357 Pure Gold Mango Peach Edition has garnered accolades and recognition in the hot sauce community. The fusion of fruit and fire is carefully orchestrated to deliver a truly unique and enjoyable experience. The tropical sweetness of mangoes and peaches perfectly balances the intense heat, creating a complex flavor profile that will delight your taste buds. This exquisite hot sauce is not only about heat-it's a culinary journey that stimulates the senses. You can trust that you're experiencing a hot sauce that lives up to its real, true, and verified reputation. Mad Dog 357 Pure Gold Mango Peach Edition undergoes rigorous testing and verification to guarantee its genuine ingredients and exceptional taste. This delectable combination is then paired with a carefully selected mix of chili peppers, including the legendary Carolina Reaper, ensuring a powerful and verified heat sensation.Įvery drop of this sauce is a testament to quality and authenticity. Mad Dog 357 Pure Gold Mango Peach Edition is crafted with the utmost care and precision, using natural, ripe mangoes and juicy peaches to infuse the sauce with a burst of natural fruit flavors. Prepare yourself for a harmonious blend of tropical sweetness and fiery spice that will ignite your taste buds like never before. ![]() Welcome to the realm of Mad Dog 357 Pure Gold Mango Peach Edition, where luscious fruits collide with scorching heat to create a truly unique and tantalizing hot sauce experience. Mad Dog 357 Pure Gold Hot Sauce |Mad Dog 357 Over a 1 Million SHU on the Scoville ScaleĪre you ready for the ride of your life, this sauce will not only blow your mind, but it will also give you the biggest endorphin rush of your life. ![]() ![]() ![]() Ρ D u D t = − ∇ p + ∇ ⋅ τ + ρ g ) incompressible flow.Welcome to our free Reinforced Beam Section Calculator. These paths are the integral curves whose derivative at each point is equal to the vector field, and they can represent visually the behavior of the vector field at a point in time.Ĭauchy momentum equation (convective form) In particular, the streamlines of a vector field, interpreted as flow velocity, are the paths along which a massless fluid particle would travel. Studying velocity instead of position makes more sense for a fluid, although for visualization purposes one can compute various trajectories. This is different from what one normally sees in classical mechanics, where solutions are typically trajectories of position of a particle or deflection of a continuum. Once the velocity field is calculated, other quantities of interest such as pressure or temperature may be found using dynamical equations and relations. It is usually studied in three spatial dimensions and one time dimension, although two (spatial) dimensional and steady-state cases are often used as models, and higher-dimensional analogues are studied in both pure and applied mathematics. It is a vector field-to every point in a fluid, at any moment in a time interval, it gives a vector whose direction and magnitude are those of the velocity of the fluid at that point in space and at that moment in time. The solution of the equations is a flow velocity. The Clay Mathematics Institute has called this one of the seven most important open problems in mathematics and has offered a US$1 million prize for a solution or a counterexample. This is called the Navier–Stokes existence and smoothness problem. Despite their wide range of practical uses, it has not yet been proven whether smooth solutions always exist in three dimensions-i.e., whether they are infinitely differentiable (or even just bounded) at all points in the domain. The Navier–Stokes equations are also of great interest in a purely mathematical sense. Coupled with Maxwell's equations, they can be used to model and study magnetohydrodynamics. The Navier–Stokes equations, in their full and simplified forms, help with the design of aircraft and cars, the study of blood flow, the design of power stations, the analysis of pollution, and many other problems. They may be used to model the weather, ocean currents, water flow in a pipe and air flow around a wing. The Navier–Stokes equations are useful because they describe the physics of many phenomena of scientific and engineering interest. As a result, the Navier–Stokes are a parabolic equation and therefore have better analytic properties, at the expense of having less mathematical structure (e.g. The difference between them and the closely related Euler equations is that Navier–Stokes equations take viscosity into account while the Euler equations model only inviscid flow. They arise from applying Isaac Newton's second law to fluid motion, together with the assumption that the stress in the fluid is the sum of a diffusing viscous term (proportional to the gradient of velocity) and a pressure term-hence describing viscous flow. They are sometimes accompanied by an equation of state relating pressure, temperature and density. The Navier–Stokes equations mathematically express momentum balance and conservation of mass for Newtonian fluids. They were developed over several decades of progressively building the theories, from 1822 (Navier) to 1842–1850 (Stokes). They were named after French engineer and physicist Claude-Louis Navier and the Irish physicist and mathematician George Gabriel Stokes. The Navier–Stokes equations ( / n æ v ˈ j eɪ s t oʊ k s/ nav- YAY STOHKS) are partial differential equations which describe the motion of viscous fluid substances. ![]() |
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