Lie Symmetry Analysis of MHD Thermosolutal Marangoni Convection with Heat Generation and First Order Chemical Reaction / (Record no. 614744)

000 -LEADER
fixed length control field 02866nam a22001577a 4500
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 621
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Zubair, Saad
245 ## - TITLE STATEMENT
Title Lie Symmetry Analysis of MHD Thermosolutal Marangoni Convection with Heat Generation and First Order Chemical Reaction /
Statement of responsibility, etc. Saad Zubair
264 ## - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE
Place of production, publication, distribution, manufacture Islamabad :
Name of producer, publisher, distributor, manufacturer SMME- NUST;
Date of production, publication, distribution, manufacture, or copyright notice 2025.
300 ## - PHYSICAL DESCRIPTION
Extent 86p.
Other physical details Soft Copy
Dimensions 30cm
500 ## - GENERAL NOTE
General note The purpose of this research is to study the combined effects of Magnetohydrodynamic<br/>(MHD), Marangoni convection, heat generation, thermosolutal transport and chemical reaction<br/>of first order for a fluid system. These flows play a potent role in many applications of realworld such as cooling systems, heat exchangers, chemical and material processing, buildings<br/>and HVAC’s, power generation, food processing, aerospace and automotive, geothermal<br/>systems, thermal energy storage and many more. The equations modeling these flows are<br/>nonlinear partial differential equation which in general are very complex and challenging to<br/>solve.<br/>The considered flow equations are transformed into less complex ordinary differential<br/>equations by using an approach called Lie symmetry transformations. This mathematical<br/>technique helps in the reduction of variables of the system, thereby decreasing complexity of<br/>the system which often results in a set of solvable equations. This reduction of variables yields<br/>nonlinear equations of ordinary type that (in general) do not possess exact solutions, however<br/>computational cost involved in generating approximate solutions for the reduced equations<br/>decreases enormously. Through these solutions a better understanding of the system and the<br/>physical parameters that affect the system is established.<br/>This thesis employs Homotopy Perturbation Method that is an analytical approach for<br/>obtaining analytical approximate solutions for the flow and heat transfer considered by<br/>imposing the said physical constraints. MAPLE is used to develop the code for Homotopy<br/>Perturbation Method and for generating Lie similarity transformations. Using MAPLE, the<br/>reduction is performed, and graphs are obtained showing the influence of various variable<br/>parameters like Prandtl number, Hartmann number, Schmid number, rate of chemical reaction<br/>and the coefficient of heat generation corresponding to the temperature, velocity and<br/>concentration profiles. Lie control parameters are involved in these similarity solutions that are<br/>obtained in this thesis. These parameters are shown to influence the flow dynamics like the<br/>physical parameters. This control characterization of the fluid flow and heat transfer considered<br/>here has not been presented earlier.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name entry element MS Mechanical Engineering
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Supervisor: Dr. Muhammad Safdar
856 ## - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier <a href="http://10.250.8.41:8080/xmlui/handle/123456789/54800">http://10.250.8.41:8080/xmlui/handle/123456789/54800</a>
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Source of classification or shelving scheme
Koha item type Thesis
Holdings
Withdrawn status Permanent Location Current Location Shelving location Date acquired Full call number Barcode Koha item type
  School of Mechanical & Manufacturing Engineering (SMME) School of Mechanical & Manufacturing Engineering (SMME) E-Books 09/22/2025 621 SMME-TH-1161 Thesis
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