Subject Code : MECH928
Country : Australia
Assignment Task:

Problem: 

Consider a steady two-dimensional heat transfer in a thin steel plate whose cross-section is given in the following Figure. The mesh size is ?x = 0.15m, ?y = 0.2m for manual calculation. The nodes are indexed by 1 to 9 in the Figure. Please determine the temperatures at each node. 

There is no heat generation within the plate; the temperature difference through the plate thickness (1mm) is negligible. The thermal conductivity of the steel plate is 60 W/(m·oC). The top edge ‘89’ is under convection with ambient air at Tf = 30 oC and h = 75 W/(m2·oC). The right edge ‘58’ is subjected to constant heat flux q'' = 1000W/ m2. The bottom side edge ‘25’ is under convection with ambient air at Tf = 10 oC and h = 100 W/(m2·oC). The bottom edge ‘12’ is maintained at 100 oC. The left side edge ‘19’ of the plate is insulated. 

For ANSYS, you can use any proper mesh type and mesh size to ensure accurate results. But you need to find the temperatures at the positions (1-9) to compare with that from the manual calculation.

20200603153547PM-1497163084-1724161127.PNG

(1) Use the finite element method to determine the temperature for each node. You are requested to manually construct the global stiffness matrix and global load matrix; 

In the report, you need to show the procedure to determine the stiffness and load matrix of each element, and how to construct global stiffness and load matrix. 

(Tips: As for solving node temperature by global stiffness and load matrix is too difficult by hand, Matlab is recommended. The other program or excel can be used for this purpose. The code/excel file needs to be attached to your report.) 

(2) You are requested to manually calculate the heat flux at positions 1 and 2 to maintain the fixed temperatures of 100 oC In the report, you need to show the procedure on how to manually calculate the heat flux at positions 1 and 2. 

(3) You are requested to manually calculate the temperature gradient at center of each element (5 marks) 

In the report, you need to show the procedure on how to manually calculate the temperature gradient at the center of each element. 

(4) You are requested to construct a 2D model in ANSYS, and use ANSYS to solve the question in Item 1 and compare it with your manual calculation; 

In the report, you need to show the geometry of the body, mesh of the model, boundary conditions, temperature, and heat flux results. The comparison of temperature distribution between manual calculation and ANSYS is requested. 

(Tips: The mesh size and type in ANSYS can be different from manual calculation. But you need to determine the temperatures for the locations in Item 1 for comparison). 

(5) The thickness of the plate is 1mm. Use ANSYS to determine average reaction heat transfer rate acting on the bottom surface ‘12’, bottom right surface ‘25’ and top surface ‘89’. You also need to manually determine the heat transfer rate at the right surface ‘58’ and left surface ‘19’. Then you are requested to discuss the energy balance of the system. 

(Tips: In ANSYS, you can use the reaction probe shows the Heat transfer rate). 

(6) Plot the temperatures along the line ‘68’ for three convection coefficients acting on the top edge ‘89’, 10 W/(m2·oC), 75 W/(m2·oC), and 150 W/(m2·oC), and discuss the results.  

(Tips: You can solve the results for h=10 W/(m2·oC) and h=150 W/(m2·oC) either manually or using ANSYS) 

(7) Use ANSYS to carry out a coupled thermal-stress analysis to determine Von-Mises stresses due to thermal change. Please discuss the results based on the boundary conditions. 

 

This Engineering Assignment has been solved by our Engineering Experts at onlineassignmentbank. Our Assignment Writing Experts are efficient to provide a fresh solution to this question. We are serving more than 10000+ Students in Australia, UK & US by helping them to score HD in their academics. Our Experts are well trained to follow all marking rubrics & referencing style.

Be it a used or new solution, the quality of the work submitted by our assignment experts remains unhampered. You may continue to expect the same or even better quality with the used and new assignment solution files respectively. There’s one thing to be noticed that you could choose one between the two and acquire an HD either way. You could choose a new assignment solution file to get yourself an exclusive, plagiarism (with free Turnitin file), expert quality assignment or order an old solution file that was considered worthy of the highest distinction.

  • Uploaded By : admin
  • Posted on : June 03rd, 2019
  • Downloads : 1

Whatsapp Tap to ChatGet instant assistance