Analysis of Transient Heat conduction in Different Geometries

Behera, Pritinika (2009) Analysis of Transient Heat conduction in Different Geometries. MTech thesis.



Present work deals with the analytical solution of unsteady state one-dimensional heat conduction problems. An improved lumped parameter model has been adopted to predict the variation of temperature field in a long slab and cylinder. Polynomial approximation method is used to solve the transient conduction equations for both the slab and tube geometry. A variety of models including boundary heat flux for both slabs and tube and, heat generation in both slab and tube has been analyzed. Furthermore, for both slab and cylindrical geometry, a number of guess temperature profiles have been assumed to obtain a generalized solution. Based on the analysis, a modified Biot number has been proposed that predicts the temperature variation irrespective the geometry of the problem. In all the cases, a closed form solution is obtained between temperature, Biot number, heat source parameter and time. The result of the present analysis has been compared with earlier numerical and analytical results. A good agreement has been obtained between the present prediction and the available results.

Item Type:Thesis (MTech)
Uncontrolled Keywords:lumped model, polynomial approximation method, transient, conduction, modified Biot number
Subjects:Engineering and Technology > Mechanical Engineering > Thermodynamics
Divisions: Engineering and Technology > Department of Mechanical Engineering
ID Code:1486
Deposited By:Pritinika Behera
Deposited On:10 Jun 2009 09:23
Last Modified:10 Jun 2009 09:23
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Supervisor(s):Sahu, S K

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