**Text for Educational Website:**Title: Heat Transfer and Fluid Flow Analysis**Problem Statement:**Consider a scenario where air at 1 atm and 40°C flows over the top surface of a thin metal foil with dimensions 0.2 m x 0.5 m. The air stream has a velocity of 100 m/s. The metal foil is electrically heated, receiving a uniform heat flux of 7500 W/m². Given that the friction force on the metal foil surface is 0.4 N, we are tasked with determining the surface temperature of the metal foil. For this calculation, evaluate the fluid properties at a temperature of 100°C.**Analysis:**- **Air Properties:** Evaluated at 100°C for precise calculation of heat transfer and frictional effects.- **Foil Dimensions:** The surface area involved in heat transfer is calculated using the given dimensions.- **Heat Flux:** Represents the rate of heat energy transfer per unit surface area.- **Friction Force:** Influences the determination of the temperature by affecting the thermal boundary layer.**Objective:**To compute the surface temperature of the metal foil by integrating principles of fluid dynamics and heat transfer.

Given data: Air at 1 atm pressure and temperature,, is flowing over a thin metal foil of surface area, .Air stream velocity, .Friction force on the surface is, .Metal foil is uniformly heated with a flux of .Properties of air taken at are: Prandtl number of air at is, Let '' be the surface temperature of the metal foil.Friction force over the plate is given by, , where is the drag coefficient. -------------------------(1)Also, for flow over a flat plate, friction and heat convection is explained by COLBURN Analogy as: ; where Stanton number, and 'h' is the average heat transfer coefficient. -------------------------- (2)From (1) and (2):Heat flux to the foil is given by,Surface temperature of the metal foil = 188.0220 C

Engineering

Mechanical Engineering

Air at 1 atm and 40°C is flowing over the top surface of a 0.2 m x 0.5 m-thin metal foil. The air stream velocity is 100 m/s and the metal foil is heated electrically with a uniform heat flux of 7500 W/m². If the friction force on the metal foil surface is 0.4 N, determine the surface temperature of the metal foil. Evaluate the fluid properties at 100°C.

Air at 1 atm and 40°C is flowing over the top surface of a 0.2 m x 0.5 m-thin metal foil. The air stream velocity is 100 m/s and the metal foil is heated electrically with a uniform heat flux of 7500 W/m². If the friction force on the metal foil surface is 0.4 N, determine the surface temperature of the metal foil. Evaluate the fluid properties at 100°C.

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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Question

**Text for Educational Website:**

Title: Heat Transfer and Fluid Flow Analysis

**Problem Statement:**

Consider a scenario where air at 1 atm and 40°C flows over the top surface of a thin metal foil with dimensions 0.2 m x 0.5 m. The air stream has a velocity of 100 m/s. The metal foil is electrically heated, receiving a uniform heat flux of 7500 W/m². Given that the friction force on the metal foil surface is 0.4 N, we are tasked with determining the surface temperature of the metal foil. For this calculation, evaluate the fluid properties at a temperature of 100°C.

**Analysis:**

- **Air Properties:** Evaluated at 100°C for precise calculation of heat transfer and frictional effects.
- **Foil Dimensions:** The surface area involved in heat transfer is calculated using the given dimensions.
- **Heat Flux:** Represents the rate of heat energy transfer per unit surface area.
- **Friction Force:** Influences the determination of the temperature by affecting the thermal boundary layer.

**Objective:**

To compute the surface temperature of the metal foil by integrating principles of fluid dynamics and heat transfer.

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