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The velocity at each point in the fluid is a vector. If the fluid is compressible, the divergence of the velocity vector is nonzero in general. In a vortex the curl is nonzero.

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Q: How does vector calculus apply in fluid mechanics?
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Applications of vector calculus in electrical engineering?

Vector calculus is applied in electrical engineering especially with the use of electromagnetics. It is also applied in fluid dynamics, as well as statics.


What was leonhard euler known for?

Euler contributed to the subjects of geometry, calculus, trigonometry, and number theory. He standardized modern mathematical notation using Greek symbols that continue to be used today. He also contributed to the fields of astronomy, mechanics, optics, and acoustics, and made a major contribution to theoretical aerodynamics. He derived the continuity equation and the equations for the motion of an inviscid, incompressible fluid.


Are there any vectors associated with HIV?

The vector is body fluid exchangeCorrection:Bodily fluids are not technically vectors. A vector is a living organism, usually a mosquito or tick, that is capable of transmissing disease. To date, no vectors have been identified as causing HIV infection.


What did euler do for math and please make it easy to understand?

Euler made important discoveries in fields as diverse as infinitesimal calculus and graph theory. He also introduced much of the modern mathematical terminology and notation, particularly for mathematical analysis, such as the notion of a mathematical function. He is also renowned for his work in mechanics, fluid dynamics, optics, and astronomy. While I believe the preceding paragraph to be easy to understand, most of Euler's work is not.


What are the applications of cauchy-riemann equations in engineering?

Well, cauchy-riemann differential equation is a part of complex variables and in real-life applications such as engineering, it can be used in determining the flow of fluids, such as the flow around the pipe. In fluid mechanics, the cauchy-riemann equations are decribed by two complex variables, i.e. u and v, and if these two variables satisfy the equations in an open subset of R2, then the vector field can be asserted from the two cauchy-riemann equations, ux = vy (1) uy = - vx (2) This I think can help interpreting the potential flow (Wikipedia) in two dimensions using the cauchy-riemann equations. In fluid mechanics, the potential flow can be analyzed using the cauchy-riemann equations.

Related questions

Applications of vector calculus in engineering?

Electromagnetic fields, gravitational fields and fluid flow. If you are an engineer you will come across vector calculus to handle three dimensional space.


Applications of vector calculus in electrical engineering?

Vector calculus is applied in electrical engineering especially with the use of electromagnetics. It is also applied in fluid dynamics, as well as statics.


5 famous scientist in mechanics?

Osborne Reynolds - Fluid Mechanics Isaac Newton - Vector Mechanics/ Gravitational Physics Gallileo Gallilei - Gravitational Physics Erwin Schrodinger - Quantum Mechanics WIlliam Hamilton - LaGrangian Method Mechanics


When was Journal of Fluid Mechanics created?

Journal of Fluid Mechanics was created in 1956.


What has the author Victor L Streeter written?

Victor L. Streeter has written: 'Handbook of fluid dynamics' -- subject(s): Fluid dynamics 'Fluid dynamics' -- subject(s): Fluid dynamics 'Fluid Dynamics (Aeronautics Science Publications)' 'Fluid mechanics' -- subject(s): Fluid mechanics 'Fluid mechanics' -- subject(s): Fluid mechanics


Applications of vector calculus in real life?

That depends on what your "real life" consists of. If you sell merchandise at a supermarket, or do carpentry work, you won't need such advanced mathematics. If you work in the engineering fields, you might need it at some moment like with electromagnetic fields, gravitational fields and fluid flow. If you are an engineer you will come across vector calculus to handle three dimensional space.


What is fliud mechanics?

Fluid mechanics refer to the branch of physics that deals with fluid and other forces on them. This is sub-divided into fluid statics and fluid kinematics.


1 What important property of fluids necessitated the development of fluid mechanics as an area of science separate from standard mechanics?

Fluid's lack of rigidity contributed to scientist's creation of the area of fluid mechanics.


What is engineering maths?

Engineering mathematics is really complex and rather interesting. If you want to look into it yourself which I assume is why you asked this question, you could look into structural analysis, fluid dynamics, thermodynamics, and fluid mechanics (Not the same as dynamics). Partial differentials and multidimensional calculus galore.


What has the author Alan Mironer written?

Alan Mironer has written: 'Engineering fluid mechanics' -- subject(s): Fluid mechanics


What has the author H Yamaguchi written?

H. Yamaguchi has written: 'Engineering fluid mechanics' -- subject(s): Fluid mechanics


Why soil mechanics as a separate discipline from the general mechanics?

Soil mechanics is a discipline in which application of laws of mechanics and fluid mechanics are applied where as in mechanics laws of physics are applied