Abstract:
The aim of this thesis is to express whole concept of analytic dual nature exact solutions. The thorough study of the heat transfers of nanoparticles of fluid along a shrinking surface in the presence of thermal radiation is analyzed. Initially, mathematical formulation is extracted that is consisting of momentum and energy equations. Later on, these PDEs of momentum and energy are converted in the dimensionless non-linear ODEs by applying some suitable similarity variables and the boundary conditions are defined with the thermal radiation term. Then the acquired solution of the dimensionless nonlinear ODEs will be evaluated by incomplete gamma solution, analytically. The results obtained through solutions for different physical parameters, namely, mass suction, stretching, porous medium, viscosity ratio, Prandtl number, Biot number, nanoparticle volume friction and thermal conductivity on velocity and temperature profiles are analyzed and elaborated graphically. Graphical presentation of the skin friction and Nusselt number also depicted.
