Reference no: EM13923539
Problem: A plate of thickness t is subjected to the imposed surface flux qs on its top surface with a pitch of 2L as shown in Figure. The plate is infinitely long in the horizontal direction. The in-depth width of the plate is w. The thermal conductivity of the plate is k. The unheated area on the top surface is thermally insulated. The bottom surface faces an air at T∞. The convective motion of the air gives rise to the heat transfer coefficient h.
If the thermal conductivity k is very large and the thickness t is small, you can assume that it is a 1D steady-state heat conduction problem in the horizontal direction.
(a) Sketch the temperature distribution along the plate.
(b) Describe all the boundary conditions.
(c) Derive the governing equations and obtain the mathematical expressions for the local temperature.
Now, consider poor thermal conductivity and a large thickness for the plate. You need to treat it as a 2D steady-state heat conduction problem this time. Considering the temperature distribution in the both horizontal and vertical direction,
(d) Describe all the boundary conditions.
(e) Obtain the mathematical expression for the local temperature T(x, y).
To work on these problems, you should carefully set up coordinate axes as discussed in class.
Figure. Plate subjected to heat flux with spatial period on its top and to air convection on its bottom.
|
Managing rental property
: Opened a business bank account with a deposit of $45,000 from personal funds.Purchased office supplies on account, $2,000.Received cash from fees earned for managing rental property, $8,500.
|
|
What is the total manufacturing cost per unit
: What is the total manufacturing cost per unit using traditional costing for PCB124? For PCB136? Use machine hours as the cost-allocation base.
|
|
Identify the intercept and the slope in the diagram.
: Is there a significant relationship between "sibs"and "childs"? Explain how you reach your decision (hint: p-value):
|
|
Explain why a change in the time to expiration
: Explain why a change in the time to expiration (i.e., T) can have either a positive or neg- ative impact on the value of a European-style put option.
|
|
Sketch the temperature distribution along the plate
: Describe all the boundary conditions and derive the governing equations and obtain the mathematical expressions for the local temperature.
|
|
The business research project or article
: Resources: The University Library or the Electronic Reserve Readings Identify a business research project in your own business or locate a business research article in the library. This project should be one that you perceive to be conducted in an..
|
|
Describe the purpose inputs tools and techniques
: Find and cite at least three sources that describe the purpose, inputs tools and techniques, and outputs of the initiating processes. Based on these resources, explain the choices that you made in creating your project documents in terms of conten..
|
|
Problem regarding the obtain copyright protection
: Question 1. Fiona invents a new deep-sea fishing net, which she names Great Catch. She also writes the operating manual to be included with each net. Fiona could obtain copyright protection for
|
|
Inclusive and exclusive subtype relationship
: Explain the difference between and inclusive subtype relationship and an exclusive subtype relationship.
|