1. A steady 3-dimensional flow field is described using the following velocity vector: V = (2.49 + 1.36x − 0.867y)î + (1.95x - 1.36y) - 0.458xyk m/s - a. Derive an equation for the material acceleration vector. (20 points) b. Obtain the vorticity vector for the velocity field. (20 points) c. Is the flow rotational or irrotational? Show through your derivation. (5 points) d. Is the flow incompressible or compressible? Show through your derivation. (5 points)

1. A steady 3-dimensional flow field is described using the following velocity vector: V = (2.49 + 1.36x − 0.867y)î + (1.95x - 1.36y) - 0.458xyk m/s - a. Derive an equation for the material acceleration vector. (20 points) b. Obtain the vorticity vector for the velocity field. (20 points) c. Is the flow rotational or irrotational? Show through your derivation. (5 points) d. Is the flow incompressible or compressible? Show through your derivation. (5 points)

Principles of Heat Transfer (Activate Learning with these NEW titles from Engineering!)

8th Edition

ISBN:9781305387102

Author:Kreith, Frank; Manglik, Raj M.

Publisher:Kreith, Frank; Manglik, Raj M.

Chapter5: Analysis Of Convection Heat Transfer

Section: Chapter Questions

Problem 5.3P: Evaluate the Nusselt number for flow over a sphere for the following conditions: D=0.15m,k=0.2W/mK,...

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