Mechanical Engineering Exam > Mechanical Engineering Videos > Topper Handwritten Notes & Videos for GATE ME > Derivation Continuity Equation for Cartesian Coordinates
Derivation Continuity Equation for Cartesian Coordinates Video Lecture | Topper Handwritten Notes & Videos for GATE ME - Mechanical Engineering
|
59 videos|204 docs
|
FAQs on Derivation Continuity Equation for Cartesian Coordinates Video Lecture - Topper Handwritten Notes & Videos for GATE ME - Mechanical Engineering
| 1. What is the derivation of the continuity equation in Cartesian coordinates? |  |
Ans. The derivation of the continuity equation in Cartesian coordinates involves considering a control volume in a fluid flow system and applying the principles of conservation of mass. By applying the divergence theorem and simplifying the equation, we can derive the continuity equation, which states that the rate of change of mass within a control volume is equal to the net mass flux across its boundaries.
| 2. How is the continuity equation applied in fluid mechanics? | |
Ans. The continuity equation is a fundamental equation in fluid mechanics that is used to analyze fluid flow. It is applied by considering a control volume and examining the mass balance within that volume. By applying the continuity equation, we can determine how the fluid velocity and density change within the system, helping us understand the behavior of the fluid flow.
| 3. What are the assumptions made in the derivation of the continuity equation? | |
Ans. The derivation of the continuity equation relies on several assumptions, including the assumption of incompressibility of the fluid, which means that the density of the fluid remains constant throughout the flow. Additionally, it assumes that the flow is steady, meaning that the velocity of the fluid does not change with time. These assumptions simplify the derivation and allow for the application of the continuity equation in various fluid flow problems.
| 4. Can the continuity equation be applied to compressible fluids? | |
Ans. The continuity equation, as derived for incompressible fluids, cannot be directly applied to compressible fluids. In compressible flow, the density of the fluid varies significantly, and the assumption of constant density no longer holds. However, a modified form of the continuity equation can be derived for compressible fluids, taking into account the changes in density and fluid properties.
| 5. What are some practical applications of the continuity equation in engineering? | |
Ans. The continuity equation is widely used in various engineering fields and has practical applications in fluid dynamics and hydraulics. It is used to analyze and design pipelines, pumps, and other fluid transport systems. It is also utilized in the analysis of air flow in ventilation systems, aerodynamics of vehicles, and the design of water distribution networks. By applying the continuity equation, engineers can optimize the efficiency and performance of these systems.
Related Exams
About this Video
|
4.61/5 Rating |
|
Nov 23, 2024 Last updated |
Video Description: Derivation Continuity Equation for Cartesian Coordinates for Mechanical Engineering 2024 is part of Topper Handwritten Notes & Videos for GATE ME preparation.
The notes and questions for Derivation Continuity Equation for Cartesian Coordinates have been prepared according to the Mechanical Engineering exam syllabus.
Information about Derivation Continuity Equation for Cartesian Coordinates covers all important topics for Mechanical Engineering 2024 Exam.
Find important definitions, questions, notes, meanings, examples, exercises and tests below for Derivation Continuity Equation for Cartesian Coordinates.
Introduction of Derivation Continuity Equation for Cartesian Coordinates in English is available as part of our Topper Handwritten Notes & Videos for GATE ME for Mechanical Engineering & Derivation Continuity Equation for Cartesian Coordinates in
Hindi for Topper Handwritten Notes & Videos for GATE ME course. Download more important topics related with notes, lectures and mock test series for
Mechanical Engineering Exam by signing up for free.
Description
Video Lecture & Questions for Derivation Continuity Equation for Cartesian Coordinates Video Lecture | Topper Handwritten Notes & Videos for GATE ME - Mechanical Engineering - Mechanical Engineering full syllabus preparation | Free video for Mechanical Engineering exam to prepare for Topper Handwritten Notes & Videos for GATE ME.
Information about Derivation Continuity Equation for Cartesian Coordinates
Here you can find the meaning of Derivation Continuity Equation for Cartesian Coordinates defined & explained in the simplest way possible.
Besides explaining types of Derivation Continuity Equation for Cartesian Coordinates theory, EduRev gives you an ample number of questions to practice Derivation Continuity Equation for Cartesian Coordinates tests,
examples and also practice Mechanical Engineering tests.
|
59 videos|204 docs
|
|
Explore Courses for Mechanical Engineering exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
Related Searches
Sample Paper
,ppt
,Important questions
,Exam
,Derivation Continuity Equation for Cartesian Coordinates Video Lecture | Topper Handwritten Notes & Videos for GATE ME - Mechanical Engineering
,shortcuts and tricks
,Objective type Questions
,mock tests for examination
,Semester Notes
,practice quizzes
,Viva Questions
,Derivation Continuity Equation for Cartesian Coordinates Video Lecture | Topper Handwritten Notes & Videos for GATE ME - Mechanical Engineering
,Previous Year Questions with Solutions
,Derivation Continuity Equation for Cartesian Coordinates Video Lecture | Topper Handwritten Notes & Videos for GATE ME - Mechanical Engineering
,MCQs
,video lectures
,Summary
,study material
,past year papers
,Free
,Extra Questions
;
Study Derivation Continuity Equation for Cartesian Coordinates on the App
Students of Mechanical Engineering can study Derivation Continuity Equation for Cartesian Coordinates alongwith tests & analysis from the EduRev app,
which will help them while preparing for their exam. Apart from the Derivation Continuity Equation for Cartesian Coordinates,
students can also utilize the EduRev App for other study materials such as previous year question papers, syllabus, important questions, etc.
The EduRev App will make your learning easier as you can access it from anywhere you want.
The content of Derivation Continuity Equation for Cartesian Coordinates is prepared as per the latest Mechanical Engineering syllabus.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup