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Problem 5 Consider a steady in compressible axisymmetric fully developed constant viscosity laminar flow in a circular pipe Assume that the pipe

Problem 5. Consider a (i) steady, (ii) incompressible, axisymmetric, (iv) fully- developed, (v) constant viscosity, (vi) laminar flow in a circular pipe. Assume that the pipe is horizontal, so that any gravitational effects can be ignored It is known that an incompressible, constant viscosity fluid can be described by the continuity equation in cylindrical coordinates together with the Naiver-Stokes equations (ak.a., momentum eqns) in cylindrical coor- dinates Ov 00. Or 9-moment um 11ap 2-momentum plus the appropriate boundary conditions. Starting from the above equations with the proper boundary conditions, derive the velocity profile for the above situation. Be sure to label each of the neglected terms with the proper assumption(s) needed to neglect them Problem 5. Consider a (i) steady, (ii) incompressible, axisymmetric, (iv) fully- developed, (v) constant viscosity, (vi) laminar flow in a circular pipe. Assume that the pipe is horizontal, so that any gravitational effects can be ignored It is known that an incompressible, constant viscosity fluid can be described by the continuity equation in cylindrical coordinates together with the Naiver-Stokes equations (ak.a., momentum eqns) in cylindrical coor- dinates Ov 00. Or 9-moment um 11ap 2-momentum plus the appropriate boundary conditions. Starting from the above equations with the proper boundary conditions, derive the velocity profile for the above situation. Be sure to label each of the neglected terms with the proper assumption(s) needed to neglect them

 

Apr 27 2020 View more View Less

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