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|
|Deposited By:||Pritinika Behera|
|Deposited On:||10 Jun 2009 09:23|
|Last Modified:||10 Jun 2009 09:23|
|Supervisor(s):||Sahu, S K|
Repository Staff Only: item control page