Question

a. Obtain Bernoulli's equation for compressible flow considering adiabatic process. b. Define vortex flow. Derive an expression of stream function and velocity potential function for vortex flow. c. What is a Venturi meter? Derive an expression for discharge through a Venturi meter. 

          a. Obtain Bernoulli's equation for compressible flow considering adiabatic process.
b. Define vortex flow. Derive an expression of stream function and velocity potential function for vortex flow.
c. What is a Venturi meter? Derive an expression for discharge through a Venturi meter.
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University Physics with Modern Physics
University Physics with Modern Physics
Hugh D. Young 14th Edition
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a. Obtain Bernoulli's equation for compressible flow considering adiabatic process. b. Define vortex flow. Derive an expression of stream function and velocity potential function for vortex flow. c. What is a Venturi meter? Derive an expression for discharge through a Venturi meter.
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Transcript

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00:01 So from here we can say that we know the bernoulli's equation is dp divided by the s plus v multiply by the dv plus g of d z is equals to 0.
00:13 Let's say this will be the equation number one.
00:16 So from here we can say that integral of d p divided by the s integral of v dv plus integral of g d z this will be equals to zero.
00:28 So from here we can say that dp divided by the s plus v raise to the power 2 divided by the 2 plus g of z is equal to c where s is a constant incompressible and b is also a constant which is compressible.
00:42 So from here we can say that d p divided by the s will be equals to p divided by the s and dp divided by the s with not equals to p divided by s in case of compressible.
00:52 In case of incompressible, this will be the case.
00:55 So for adeptic process pv is equal to constant.
01:01 So from here we can say that p divided by the s raised to the power gamma is equal to c...
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