Question

Reconsider Prob. 9-18. Using appropriate software, investigate the effect of the plate thermal conductivity on the surface temperature exposed to the cold water. By varying the plate thermal conductivity from 3 to $200 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}$, plot the plate surface temperature on the cold water side as a function of the plate thermal conductivity.

Short answer

Question: Describe the steps to model and solve a problem involving the effect of plate thermal conductivity on surface temperature exposed to cold water using heat transfer simulation software. Answer: To model and solve this problem, follow these steps: 1. Define the Domain and Boundary Conditions: Model the plate and fluids in contact (hot and cold water) and define the boundary conditions like temperatures and convection heat transfer coefficients. 2. Set Up the Simulation: Set up a steady-state thermal simulation with appropriate mesh size and solver type. 3. Vary the Plate Thermal Conductivity: Vary the plate thermal conductivity from 3 to \(200\mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\) using a loop or script for the simulations. 4. Obtain the Plate Surface Temperature: Record the plate surface temperature on the cold water side for each thermal conductivity value. 5. Plot the Results: Plot the plate surface temperature as a function of the plate thermal conductivity, including appropriate labels and units for clarity.

Step-by-step solution

Define the Domain and Boundary Conditions

First, model the plate and the fluids in contact (both hot and cold water) in the heat transfer software. Define the boundary conditions like the temperatures of hot and cold water, convection heat transfer coefficients, etc.

Set Up the Simulation

Set up a steady-state thermal simulation. Ensure that you choose an appropriate mesh size and solver type for accurate results.

Vary the Plate Thermal Conductivity

Now, vary the plate thermal conductivity from 3 to \(200\mathrm{~W} / \mathrm{m} \cdot \mathrm{K}\). You can use either a loop or a script to run simulations for the different values of thermal conductivity.

Obtain the Plate Surface Temperature

After successfully running the simulation for each thermal conductivity value, record the plate surface temperature on the cold water side.

Plot the Results

Finally, plot the plate surface temperature on the cold water side as a function of the plate thermal conductivity. Make sure your plot has appropriate labels and units for clarity.