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Lie similarity transformations and Lie control parameters for heat transfer on unsteady stretching surface along with variable heat source or sink

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dc.contributor.author Anwar, Muhammad Saad
dc.date.accessioned 2024-10-17T09:31:19Z
dc.date.available 2024-10-17T09:31:19Z
dc.date.issued 2024
dc.identifier.other 327878
dc.identifier.uri http://10.250.8.41:8080/xmlui/handle/123456789/47278
dc.description Supervisor: Dr. Muhammad Safdar en_US
dc.description.abstract The idea of this research is to analyze the flow on time dependent extending surface with changing heat flux. With the variable heat flux, we impose unsteadiness in the flow and temperature fields. We have developed a reduction procedure which provides a few parameters in reduced formats of differential equations which control flow and heat transfer rate. This idea uses the approach of Lie point symmetry to reduce a nonlinear model of partial differential equations representing the flow to simplest form of the model in terms of ordinary differential equations. The reduced flow model consists of a set of control parameters. This non-linear model of differential equations is then solved by using Homotopy perturbation method (HPM). Codes are developed on MAPLE which has built in packages for many mathematical applications. These codes are tested and validated in a rigorous manner. As a result, we obtain a set of multiple solutions for velocity and temperature profiles by varying the control parameters. The effect of certain key parameters on velocity profile and temperature distribution are investigated with the help of graphs and Tables using the codes already available and refining them according to the requirement of flow model. Numerical results are compared with published data in certain cases, and reasonably good agreement is established between them. The effects of the Prandtl number and the unsteadiness parameter on flow and heat transfer have also been analyzed. en_US
dc.language.iso en en_US
dc.publisher School of Mechanical & Manufacturing Engineering (SMME), NUST en_US
dc.relation.ispartofseries SMME-TH-1084;
dc.title Lie similarity transformations and Lie control parameters for heat transfer on unsteady stretching surface along with variable heat source or sink en_US
dc.type Thesis en_US


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