Explanation Given information: The flow is unsteady, compressible and 2 − Dimensional . The temperature and density variations are significant. There are five unknowns velocity components, u , v , pressure, P , density, ρ and temperature, T . The viscosity of the fluid is assumed constant. Write the expression for the mass conservation. ∂ ( ρ u ) ∂ x + ∂ ( ρ v ) ∂ y + ∂ ρ ∂ t = 0 ........... (I) Here, velocity component of fluid in x − direction is u , velocity component of fluid in y − direction is v , time is t , density of the fluid is ρ , and position coordinates of flow field are x and y . Write the expression for the momentum conservation in x − direction . ( u ∂ ( ρ u ) ∂ x + v ∂ ( ρ u ) ∂ y + ∂ ( ρ u ) ∂ t ) = − ∂ P ∂ x + μ ( ∂ 2 u ∂ x 2 + ∂ 2 u ∂ y 2 ) + ρ g x ........... (II) Here, pressure of the fluid is P , dynamic viscosity of fluid is υ , gravity in x − direction is g x . Write the expression for the momentum conservation in y − direction

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ISBN: 2810022150991

Author: CENGEL

Publisher: MCG

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The branch of science that deals with objects which are either in motion or stationary are studied under the branch of classical mechanics. Fluid mechanics is a subcategory of classical mechanics that deals with the behavior of fluids at rest (fluid stat…

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Chapter 9, Problem 5CP

To determine

The number of unknowns for a two-dimensional, unsteady and compressible flow field.

The equations required to solve for these unknowns.

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Chapter 9, Problem 4CP

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The number of unknowns for a two-dimensional, unsteady and compressible flow field. The equations required to solve for these unknowns.

Solution Summary: The author explains the number of unknowns for a two-dimensional, unsteady and compressible flow field and the equations required to solve for them.