N. F. M. Noor

Thermophysical effects of water driven copper nanoparticles on MHD axisymmetric permeable shrinking sheet: Dual-nature study.

Abstract.The present study is dedicated to analyze the dual-nature solutions of the axisymmetric flow of a magneto-hydrodynamics (MHD) nanofluid over a permeable shrinking sheet. In those phenomena where the fluid flow is due to the shrinking surface, some reverse behaviors of the flow arise because of vorticity effects. Despite of heat transfer analysis, the main purpose of the present study is to attain the solutions of the complex nature problem that appear in reverse flow phenomena. Thermophysical properties of both base fluid (water) and nanoparticles (copper) are also taken into account. By means of similarity transformation, partial differential equations are converted into a system of coupled nonlinear ordinary differential equations and then solved via the Runge-Kutta method. These results are divided separately into two cases: the first one is the unidirectional shrinking along the surface (m = 1) and the other one is for axisymmetric shrinking phenomena (m = 2) . To enhance the thermal conductivity of base fluid, nanoparticle volume fractions (

Non-linear Radiation Effects in Mixed Convection Stagnation Point Flow along a Vertically Stretching Surface

0\le \phi\le 0.2

Active and passive controls of the Williamson stagnation nanofluid flow over a stretching/shrinking surface

) are incorporated within the base fluid. The numerical investigation explores the condition of existence, non-existence and the duality of similarity solution depends upon the range of suction parameter (S) and Hartmann number (M). The reduced skin friction coefficient and local Nusselt number are plotted to analyze the fluid flow and heat transfer at the surface of the shrinking sheet. Streamlines and isotherms are also plotted against the engineering control parameters to analyze the flow behavior and heat transfer within the whole domain. Throughout this analysis it is found that both nanoparticle volume fraction and Hartmann number are increasing functions of both skin friction coefficient and Nusselt number.Graphical abstract

Mean Monte Carlo Finite Difference Method for Random Sampling of a Nonlinear Epidemic System

Abstract Present phenomenon is dedicated to analyze the combine effects of linear and non-linear Rosseland thermal radiations for stagnation point flow along a vertically stretching surface. For better variation in fluid flow and heat transfer, mixed convection is also considered to sustain this mechanism for significant influence. After incorporating these effects, the pertinent mathematical model is constructed in the form of non-linear partial differential equations and then be transformed into the system of coupled ordinary differential equations with the help of similarity transformation to be further solved numerically. Significant difference in the heat transfer enhancement can be observed through temperature profiles and tables of Nusselt number. Though histogram and isotherms plots, finally it is concluded that non-linear radiation provides better heat transfer rate at the surface of sheet as compare to the linear or absence of radiation effects.

Analytical solution for Maxwell nanofluid boundary layer flow over a stretching surface

A steady stagnation point flow of an incompressible Williamson nanofluid towards a horizontal linearly stretching/shrinking sheet with active and passive controls on the wall mass flux is numerically studied. The governing partial differential equations are reduced into a system of ordinary differential equations using a similarity transformation and are solved using the bvp4c package in MATLAB. The velocity, temperature and nanoparticle volume fraction profiles together with the reduced skin friction coefficient, reduced Nusselt number and reduced Sherwood number are graphically presented to visualize the effects of parameters involved in the study. Results show that temperature and nanoparticle volume fraction are decreasing functions of the stagnation parameter, r. It is also found that the diffusivity ratio

Numerical solution for weight reduction model due to health campaigns in Spain

N_{\mathrm{bt}}

Curve fitting for RHB Islamic Bank annual net profit

Nbt and Lewis number Le have almost negligible effects on heat transfer rate in passive control. Increasing value of Williamson parameter