The temperature distribution
Answer to Problem 4.40P
The temperature distribution
Explanation of Solution
Given information:
The velocity component of laminar flow between parallel plate in
Write the expression for energy equation for the flow.
Here, the specific volume of the fluid is
Write the expression for change of temperature with respect to time
Here, the rate of change of temperature with respect to
Since there is no change in temperature in y and z Substitute
Substitute
Substitute
Since temperature only varies in
Calculation:
Substitute
Further integrating the equation.
Substitute the boundary equation
Substitute
Further integrating the equation.
Substitute the boundary equation
Substitute
Conclusion:
The temperature distribution
Want to see more full solutions like this?
Chapter 4 Solutions
Fluid Mechanics
- Elements Of ElectromagneticsMechanical EngineeringISBN:9780190698614Author:Sadiku, Matthew N. O.Publisher:Oxford University PressMechanics of Materials (10th Edition)Mechanical EngineeringISBN:9780134319650Author:Russell C. HibbelerPublisher:PEARSONThermodynamics: An Engineering ApproachMechanical EngineeringISBN:9781259822674Author:Yunus A. Cengel Dr., Michael A. BolesPublisher:McGraw-Hill Education
- Control Systems EngineeringMechanical EngineeringISBN:9781118170519Author:Norman S. NisePublisher:WILEYMechanics of Materials (MindTap Course List)Mechanical EngineeringISBN:9781337093347Author:Barry J. Goodno, James M. GerePublisher:Cengage LearningEngineering Mechanics: StaticsMechanical EngineeringISBN:9781118807330Author:James L. Meriam, L. G. Kraige, J. N. BoltonPublisher:WILEY