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Title: A Computational Approach for the Thermal Aspects in Boundary Layer Flows
Authors: Ali, Usman
Keywords: Physical Sciences
Issue Date: 2021
Publisher: Quaid-i-Azam University, Islamabad.
Abstract: This chapter is dedicated to summarizing whole thesis. Focus of the chapter 1 is on study of heat and mass transfer in a Carreau steady two-dimensional viscosity model over a moving wedge with infinite shear rate viscosity. The results for the shear thinning as well as shear thickening are reported. Symmetry transformation is applied which reduces modelled partial differential equations to the coupled system of ordinary differential equations. This system is sorted out in a numerical way by means of Runge-Kutta methodology associated by shooting algorithm. The reduction in the temperature of Carreau fluid is noticed due to large values of viscosity ratio parameter in case of shear thickening and, reverse trend is examined for the shear thinning case. Further, the concentration in Carreau fluid declines against wedge angle parameter for shear thickening and thinning. In chapter 2 the effects of heat absorption/generation and chemical reaction are included in chapter 1; an extension of Chapter 1. For this purpose, the mathematical model is designed in terms of coupled partial differential equations and then solved numerically by Runge-Kutta Fehlberg technique chartered with shooting scheme. To investigate the impacts of physical parameter upon temperature and concentration, graphs are plotted. The temperature behaviour is examined for heat generation/absorption parameter. Further, the Carreau fluid concentration is inspected for chemical reaction parameter. The Chapter 3 includes the results for Jeffery fluid with thermal stratification effects at a stagnation point. The thermal energy characteristics are studied through the generalized Fourier’s law of heat flux. The flow is magnified by the stretching cylinder. The homogeneous heterogeneous reactions are considered in this chapter. The concerned mathematical problem is developed by laws of conservation of momentum, mass and energy which provides a system of coupled partial differential equations. The order of these equations is reduced by way of similarity transformation. Later, the set of reduced coupled equations are computed 112 numerically by implementing Runge-Kutta Fehlberg technique with shooting algorithm. The curves for temperature and velocity of fluid are plotted for involved engineering parameters. The numerical values for the coefficient of skin friction are examined, and the obtained outcomes are compared with existing literature. The Chapter 4 is the extension of Chapter 3 after including the effects of magnetic field and heat generation. The consequential PDE’s descend to ODE’s by carrying out the set of similarity transformations. These equations are solved numerically by shooting technique along with Runge-Kutta Fehlberg method. The effects of involved parameters are analysed and debated by means of graphs. The obtain outcomes are validated with the published work. The Chapter 5 emphasizes on magneto-hydrodynamics, heat generation/absorption and slip effects over a Newtonian flow field with homogeneous-heterogeneous chemical reactions induced by the rotating disk. The Cattaneo-Christov approach is proposed to derive the energy equation and heat transfer phenomena. The equations are solved by numerical technique called Runge-Kutta Fehlberg method with shooting scheme. The influence of arising parameters towards fluid velocity, temperature and concentration is elaborated in graphs. Further, the numerical results for the skin friction coefficient and the rate of heat transfer are examined. In Chapter 6, a Newtonian nanofluid flow field is demonstrated. The effects used in this chapter includes thermal radiation, heat generation/absorption., mixed convection, magnetic field, stagnation point, temperature stratification, Joule heating, concentration stratification and chemical reaction. The flow field is caused by the inclined stretching cylinder. The mathematical model is developed in the form of coupled partial differential framework and is descended to a system of coupled ordinary differential equations by means of admissible similarity transformation. The numerical findings are presented by Runge-Kutta Fehlberg method along with shooting scheme. The impacts of physical parameters upon fluid velocity, 113 temperature and concentration are discussed through graphs. Further, the guesstimates for local Nusselt number as well as the skin friction coefficient are presented.
Gov't Doc #: 23286
Appears in Collections:PhD Thesis of All Public / Private Sector Universities / DAIs.

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