Numerical study of heat transfer enhancement in MHD free convection flow over vertical plate utilizing nanofluids

AbstractA comprehensive numerical study of heat transfer enhancement in MHD free convection flow over vertical plate utilizing nanofluids has been carried out. Problem is formulated by using nanofluid volume fraction model by considering water based nanofluids containing copper and aluminum oxide. The transformed coupled, nonlinear dimensionless partial differential equations are solved numerically by using finite element method. The influence of pertinent physical parameters on velocity and temperature profiles is discussed and depicted with the aid of graphs. Finally, the numerical values of skin friction and Nusselt number within the flow regime are compared with the previously published work to ensure the correctness of this numerical scheme and an excellent agreement is obtained

Numerical study of heat source/sink effects on dissipative magnetic nanofluid flow from a non-linear inclined stretching/shrinking sheet

This paper numerically investigates radiative magnetohydrodynamic mixed convection boundary layer flow of nanofluids over a nonlinear inclined stretching/shrinking sheet in the presence of heat source/sink and viscous dissipation. The Rosseland approximation is adopted for thermal radiation effects and the Maxwell-Garnetts and Brinkman models are used for the effective thermal conductivity and dynamic viscosity of the nanofluids respectively. The governing coupled nonlinear momentum and thermal boundary layer equations are rendered into a system of ordinary differential equations via local similarity transformations with appropriate boundary conditions. The non-dimensional, nonlinear, well-posed boundary value problem is then solved with the Keller box implicit finite difference scheme. The emerging thermo-physical dimensionless parameters governing the flow are the magnetic field parameter, volume fraction parameter, power-law stretching parameter, Richardson number, suction/injection parameter, Eckert number and heat source/sink parameter. A detailed study of the influence of these parameters on velocity and temperature distributions is conducted. Additionally the evolution of skin friction coefficient and Nusselt number values with selected parameters is presented. Verification of numerical solutions is achieved via benchmarking with some limiting cases documented in previously reported results, and generally very good correlation is demonstrated. This investigation is relevant to fabrication of magnetic nanomaterials and high temperature treatment of magnetic nano-polymers

Numerical study of a dissipative micropolar fluid flow past an inclined porous plate with heat source/sink

Micropolar theories present an excellent mechanism for exploring new non-Newtonian materials processing provides a stimulating area for process engineering simulation. Motivated by area for process engineering applications, the present article presents the scope of finite element method in solving a mathematical model for magnetohydrodynamic, incompressible, dissipative and chemically reacting micropolar fluid flow and heat and mass transfer through a porous medium from an inclined plate with heat source/sink has been investigated. For this purpose, the set of governing equations have been reframed and put into a dimensionless form under the assumption of low Reynolds number with appropriate dimensionless quantities that can fit into the finite element formulation. In addition to highlighting the operational aspects of weighted residual scheme, a detailed investigation has been carried out on the associated flow structure, heat and mass transfer. The evolution of many multi-physical parameters in these variables is illustrated graphically. Finite element code is benchmarked with the results reported in the literature to check the validity and accuracy under some limiting cases and excellent agreement is seen with published solutions and results of skin friction coefficient, couple stress coefficient, Nusselt number and Sherwood number for invoked parameter are tabulated which shows that increasing heat source/sink parameter elevates temperature. Chemical reaction parameter reduces velocity and concentration gradients. Sherwood number enhances as chemical reaction parameter increases but reverse phenomena is observed in case of inclination of angle. Furthermore, a grid independency test has been carried out for different grid sizes which has proven this method is adequate. Keywords: Heat source/sink, Chemical reaction, Inclined porous plate, Micropolar fluid, Finite element method (FEM

Numerical study of heat transfer enhancement in MHD free convection flow over vertical plate utilizing nanofluids

A comprehensive numerical study of heat transfer enhancement in MHD free convection flow over vertical plate utilizing nanofluids has been carried out. Problem is formulated by using nanofluid volume fraction model by considering water based nanofluids containing copper and aluminum oxide. The transformed coupled, nonlinear dimensionless partial differential equations are solved numerically by using finite element method. The influence of pertinent physical parameters on velocity and temperature profiles is discussed and depicted with the aid of graphs. Finally, the numerical values of skin friction and Nusselt number within the flow regime are compared with the previously published work to ensure the correctness of this numerical scheme and an excellent agreement is obtained. Keywords: Magnetohydrodynamic, Nanofluid, Viscous dissipation, Radiation, Finite Element Metho

Heat transfer analysis of magnetized Cu-Ag-H2O hybrid nanofluid radiative flow over a spinning disk when the exponential heat source and Hall current are substantial: Optimization and sensitivity analysis

The main motive of the instigated mathematical model is to observe the impact of Hall current on the hybrid nanofluid flow over a disk that is rotating. The copper and silver metal nanoparticles have been considered with volume fraction φ1=φ2=0.01(0.01)0.04 and are suspended in water to form the hybrid nanofluid. Diverse characteristics like magnetic field, thermal radiation, and (ESHS) exponential space dependent heat source are incorporated to investigate the nature of the flow. The present mathematical model is initiated with partial derivative equations (PDEs) which are redrafted as ordinary derivative equations (ODEs) with appropriate transformations of similarity. The results are attained through a blend of the Runge-Kutta method, shooting procedure, and the influences of parameters on the flow of nanofluid and hybrid nanofluid are compared and illustrated both as tables and graphs. The present numerical research is unique because by employing a complete quadratic CCD framework using the RSM strategy, the sensitivity and optimization analysis of the heat transmission improvement for the volume fraction, ESHS, and thermal radiation parameters have been performed. The R-squared and adjusted R-Squared are obtained as 100%. The residual graphs and contour diagrams of the same are also shown. The current study establishes that the Hall parameter increases the radial velocity, but it also controls the energy and cross-radial velocity. The rate of heat transmission is increased by thermal radiation even at low levels of ESHS. The rate of heat transmission is more sensitive (0.024670) to the volume fraction of the hybrid nanofluid when ESHS is at an intermediate level. The lowest sensitivity (-1.269967) value towards ESHS is observed For thermal radiation and ESHS parameter values, the heat transmission rate of the mono nanofluid is not as great as that of hybrid nanofluid. The current study finds applications in the generation of hydroelectric power, air cleansing and rotating equipment, healthcare devices, and many other industries