Carnegie Mellon Mechanical Engineering

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FEM/ANSYS ## Test T3: 3D Heat Conduction      Thermal Test 3: 3D Heat Conduction within a Metalworking Rod

Introduction:

In this example you will build and analyze a 3D model pertaining to metallurgy. Using ANSYS will allow you to output the temperature distribution and heat flux, as well as animate the heat flux over time.

Problem Description:

·         We assume that our rod is made of steel (melting point = 1644 K) and the molten metal is grade A bronze (at its melting point 1323 K)

·         All units are S.I.

·         Boundary Conditions:
2) The steel rod is subject to convection with coefficient h = 1 W/m2-K

and bulk temperature TB = 322 K
3) The molten bronze is at its melting point of 1323 K

5) The steel rod (K = 20) has a grip around the end length

of it made of a material with conductivity K = 1

·         Material Properties:

h = 50 W/(m2-K)

k(steel) = 20 W/m-K

k(grip) = 1 W/m-K

k(bronze) = 47 W/m-K

·         Objective: To determine the nodal temperature distribution and heat flux properties of the rod.

·         Dimensions – specified below in millimeters   The dimensions of the drawing are in English because the specs of the phone given on the web are in English (making the CAD drawing easier to build in English)

REMEMBER TO CODE ANSYS WITH SI, not English

Note: .1 inch = 2.54 mm

Also, R0.50in = 0.0127m Create the cylindrical solid defining the grip for the handle. Shift the workplane the axial length of the cylinder and create the circular solid defining the section between the handle and the head of the metal ladle. Shift the workplane again and create the cylindrical head of the ladle. Now rotate the workplane and shift it such that the inner section of the ladle is removed so that a heat source can be placed within. Now subtract the volume such that only free space remains. Now create the area defining the “molten bronze” heat source. Once all the volumes have been created.  Overlap the two sections of the handle so that they form one volume. Add the handle and the bowl itself then “glue” the “molten bronze” into the bowl. To ensure that the grip is done correctly, you may also glue the slender rod of the handle to the grip. Define the Material Properties of the Steel ladle (Thermal Conductivity for each of the metals is important) Define the Element Properties as a Tet 10 node Thermal Solid. Mesh the ladle. (Do so by picking all lines and setting the element edge length to 0.02.) Apply the boundary conditions. (Convection on the bowl, rod and grip, and Constant Temp on all the areas defining the bronze) Solve List the nodal results of the temperature distribution with respect to all degrees of freedom. Plot the nodal temperature distribution within the ladle. Show both the “deformed” shape of the ladle.

(The nodal temperatures will be listed as follows:) (The result should be something like below:) 