TY  - BOOK
AU  - Zubair, Saad 
AU  - Supervisor: Dr. Muhammad Safdar
TI  - Lie Symmetry Analysis of MHD Thermosolutal Marangoni Convection with Heat Generation and First Order Chemical Reaction
U1  - 621 
PY  - 2025///
CY  - Islamabad : 
PB  - SMME- NUST; 
KW  - MS Mechanical Engineering
N1  - The purpose of this research is to study the combined effects of Magnetohydrodynamic
(MHD), Marangoni convection, heat generation, thermosolutal transport and chemical reaction
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
and HVAC’s, power generation, food processing, aerospace and automotive, geothermal
systems, thermal energy storage and many more. The equations modeling these flows are
nonlinear partial differential equation which in general are very complex and challenging to
solve.
The considered flow equations are transformed into less complex ordinary differential
equations by using an approach called Lie symmetry transformations. This mathematical
technique helps in the reduction of variables of the system, thereby decreasing complexity of
the system which often results in a set of solvable equations. This reduction of variables yields
nonlinear equations of ordinary type that (in general) do not possess exact solutions, however
computational cost involved in generating approximate solutions for the reduced equations
decreases enormously. Through these solutions a better understanding of the system and the
physical parameters that affect the system is established.
This thesis employs Homotopy Perturbation Method that is an analytical approach for
obtaining analytical approximate solutions for the flow and heat transfer considered by
imposing the said physical constraints. MAPLE is used to develop the code for Homotopy
Perturbation Method and for generating Lie similarity transformations. Using MAPLE, the
reduction is performed, and graphs are obtained showing the influence of various variable
parameters like Prandtl number, Hartmann number, Schmid number, rate of chemical reaction
and the coefficient of heat generation corresponding to the temperature, velocity and
concentration profiles. Lie control parameters are involved in these similarity solutions that are
obtained in this thesis. These parameters are shown to influence the flow dynamics like the
physical parameters. This control characterization of the fluid flow and heat transfer considered
here has not been presented earlier.
UR  - http://10.250.8.41:8080/xmlui/handle/123456789/54800
ER  -