QQuestionAnatomy and Physiology
QuestionAnatomy and Physiology
**(3 points)** Q^1. Air at 30°C with a convection heat transfer coefficient of 28 W/m²·K blows over a horizontal steel hot plate (*k* = 50 W/m·K). The surface area of the plate is 0.68 m² with a thickness of 4 cm. The plate surface is maintained at a constant temperature of *Ts* = 310°C and the plate loses 420 W from its surface by radiation. Calculate the inside plate temperature (*Ti*).
Attachments
6 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1: Write down the heat balance equation for the steel plate.
- $$A$$ is the surface area (m²)
The total heat transferred to the plate must be equal to the sum of the heat conducted through the plate, the heat lost by convection, and the heat lost by radiation. Where:
Step 2: Calculate the heat conducted through the plate.
q''_{cond} = -50 \, \frac{W}{m \cdot K} \times \frac{(310 \, K - Ti)}{0.04 \, m}
Use Fourier's law of heat conduction, which states that the heat flux is proportional to the temperature difference, thermal conductivity, and cross-sectional area. Where: Substituting the given values, we get:
Final Answer
The inside plate temperature, Ti, is approximately 297.3 K or 24.3°C.
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students