International Journal of Emerging Multidisciplinaries: Mathematics

Effect of Cattaneo-Christov Model over a Vertical Stretching Cylinder Using SiO2 Nanofluid

Zaffer Elahi — 2023-05-30

This paper represents the heat transfer of SiO2 nano uid over a vertical stretching cylinder. By using, suitable transformations, the governing partial differential equations are changed into non-linear ordinary differential equations, which are then solved by the numerical solver namely BVP4C. The scrutinized results both in the form of graphical and numerically have been developed from the scheme BVP4C. By using pictorial graphs, the physical parameter that appear in temperature profile are discussed. Further, the rate of shear-stress and heat transfer at the surface have been computed and tabulated in Tables 3-4.

Radiation Effects on Boundary Layer Flow and Heat Transfer of the Power Law Fluid Over a Stretching Cylinder with Convective Boundary Conditions

Azeem Shahzad — 2023-05-30

In this work, a power law fluid model is used to examine the boundary layer flow and heat transfer characteristics over an unsteady horizontal stretching cylinder under the influence of convective boundary conditions. It is presumed that partial slip conditions exist and that the thermal conductivity of the nanofluid is a function of temperature at the boundary. Through similarity transformation, the coupled partial differential equations are converted into ordinary differential equations (ODEs), which are then resolved in MATLAB with BVP4C. By contrasting the computed findings with the published results, the validity of the results is proven. The effects of different parameters on the temperature and velocity profiles are carefully looked at and analysed. As the Eckert number increases, the thermal boundary layer thickens. All of the physical factors that affect the local Nusselt number and skin friction coefficient have been studied carefully and are shown in the tables.

FEM Simulations to Analyze Flow and Thermal Characteristics of Carreau Non-Newtonian Fluid in a Square Cavity

Sardar Muhammad Bilal — 2023-05-30

Heat transfer aspects induced by natural convection in enclosures have promising utilizations and essence from theoretical as well as practical prospective like in, nuclear and chemical reactors, electronic devices, cooling, polymeric processes, solar power collection and so forth. After viewing aforementioned extensive practical importance present communicatn is addressed to explain the flow attributes of Non-Newtonian Carreau fluid model in a square cavity. For non-elastic Carreau fluid model expressing the stress and strain relations at infinite and zero stress magnitude. Mathematical formulation of problem is conceded by obliging conservation laws of momentum and energy. A square enclosure with unit dimension is assumed by providing no-slip constraints at all extremities whereas bottom wall is uniformly heated. In order to maintain state of thermal equilibrium in which upper wall is adiabatic and lower and left wall is kept heated and right wall is considered as cold.by incorporation above restrictions on formulated problem equation are attained in partial differential dimensional form. Later on, these expressions are transmuted into dimensionless form by executing variables. Numerical simulation, based on infinite element method by utilizing COMSOL multi physics commercial software is computed. For this purpose, firstly preprocessing involving the steps of meshing at different refinement level is carried out. After this influence of involved dimensionless parameters as flow concerning profile is manifested through graphs and tables. Validation of result is also provided by constructing comparison with existing literature. Grid independence test for heat transfer coefficient is also performed. Engineering interest quantities like kinetic energy, local and average Nusselt number is also computed.