Answered: The airflow at 1 atm has a free stream…

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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The airflow at 1 atm has a free stream velocity and temperature of 5 cm/s and 25°C, respectively. Determine the heat flux on the plate surface and the convection heat transfer coefficient of the airflow.

$**Airflow Temperature Profile Over a Heated Plate** Consider airflow over a plate surface maintained at a temperature of 215°C. The temperature profile of the airflow is given by the equation: \[ T(y) = T_\infty - (T_\infty - T_s) \exp \left( \frac{V}{\alpha_{\text{fluid}}} y \right) \] Where: - $ T(y) $ is the temperature at a distance $ y $ from the plate surface. - $ T_\infty $ is the free stream temperature (temperature far from the plate). - $ T_s $ is the surface temperature of the plate. - $ V $ is the velocity of the airflow. - $ \alpha_{\text{fluid}} $ is the thermal diffusivity of the fluid. - $ \exp $ represents the exponential function. This equation models how the temperature changes with distance from the plate surface and is used in thermodynamics and fluid mechanics to study heat transfer in fluids.$

Transcribed Image Text:**Airflow Temperature Profile Over a Heated Plate** Consider airflow over a plate surface maintained at a temperature of 215°C. The temperature profile of the airflow is given by the equation: \[ T(y) = T_\infty - (T_\infty - T_s) \exp \left( \frac{V}{\alpha_{\text{fluid}}} y \right) \] Where: - $ T(y) $ is the temperature at a distance $ y $ from the plate surface. - $ T_\infty $ is the free stream temperature (temperature far from the plate). - $ T_s $ is the surface temperature of the plate. - $ V $ is the velocity of the airflow. - $ \alpha_{\text{fluid}} $ is the thermal diffusivity of the fluid. - $ \exp $ represents the exponential function. This equation models how the temperature changes with distance from the plate surface and is used in thermodynamics and fluid mechanics to study heat transfer in fluids.

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