B. Rushi Kumar

Aligned magnetic field and cross-diffusion effects of a nanofluid over an exponentially stretching surface in porous medium

In this paper, we investigated the effects of aligned magnetic field, thermal radiation, heat generation/absorption, cross-diffusion, viscous dissipation, heat source and chemical reaction on the flow of a nanofluid past an exponentially stretching sheet in porous medium. The governing partial differential equations are transformed to set of ordinary differential equations using self-similarity transformation, which are then solved numerically using bvp4c Matlab package. Finally the effects of various non-dimensional parameters on velocity, temperature, concentration, skin friction, local Nusselt and Sherwood numbers are thoroughly investigated and presented through graphs and tables. We observed that an increase in the aligned angle strengthens the applied magnetic field and decreases the velocity profiles of the flow. Soret and Dufour numbers are helpful to enhance the heat transfer rate. An increase in the heat source parameter, radiation parameter and Eckert number increases the mass transfer rate. Mixed convection parameter has tendency to enhance the friction factor along with the heat and mass transfer rate.

Dual Solutions for Heat and Mass Transfer in MHD Bio-Convective Flow over a Stretching/Shrinking Surface with Suction/Injection

The objective of the present study is to investigate the heat and mass transfer characteristics of the MHD stagnation-point flow of gyrotactic microorganisms contained nanofluid past a nonlinear stretching/shrinking sheet in presence of space and temperature dependent internal heat generation/absorption with suction/injection. The governing partial differential equations are transformed to system of ordinary differential equations by using similarity transformation and then solved numerically using Runge-Kutta based shooting technique. The influence of non-dimensional governing parameters on velocity, temperature, nanoparticle volume fraction and density of the motile microorganisms along with friction factor, local Nusselt number, local Sherwood number and the local density of the motile microorganisms was discussed and presented through graphs and tables. Dual solutions are presented for certain range of suction and injection parameters. The validity of the present results compared with the existed results.

Effects of Heat-Generating Component Size and Porous Layer Thickness on MHD Mixed Convection Flow of Ag-Water Nanofluid Through an L-Shaped Channel

This paper focuses on the cooling of heat-generating components via MHD mixed convection flow of silver (Ag)-water nanofluid through an L-shaped channel with a porous inner layer. In this channel, four heat-generating components are located on the channel wall opposite to the porous layer. The governing equations with the given initial and boundary conditions are solved using the stabilized mixed finite element method based on the polynomial pressure projection technique. The effect of the thickness of the porous layer and size of the heat-generating components on fluid flow and heat transfer within the channel is investigated.

Cross Diffusion Effects on Heat and Mass Transfer Micropolar Fluid Flow Past a Stretching Surface

Through this study, we investigated the influence of nonlinear thermal radiation, Soret and Dufour effects on unsteady mixed convection boundary flow of micropolar fluid past a stretching sheet. The governing equations of the flow, heat and mass transfer are transformed into a system of nonlinear ordinary differential equations by using self-similarity transformation and solved numerically using bvp4c Matlab package. The influence of various non-dimensional governing parameters on velocity, microrotation, temperature and concentration profiles are discussed and presented with the help of the graphs. Also computed the friction factor, heat and mass transfer rates and presented through tables. Result indicates by increasing the radiation parameter, an improvement is observed in both friction factor and mass transfer rates. .

Effects of Heat Dissipation on the Peristaltic Flow of Jeffery and Newtonian Fluid through an Asymmetric Channel with Porous Medium

This is a theoretical investigation on MHD peristaltic flow of Newtonian and Jeffery fluid through an asymmetric channel with the effect of heat dissipation. The present study, we investigate to include heat dissipation, permeability, Schmidt number and heat generation parameter. The velocity, temperature and concentration profiles are performed in entire study. The governing equations are solved by using the lubrication approach and perturbation technique. The temperature, velocity and concentration fields, trapping phenomena and heat transfer coefficient are plotted by using different parameters. The significance of this study that the pressure gradient with different values of permeability gradually increased, where we observed that from the graph, the pressure gradient is lesser in Newtonian compared to the Jeffery fluid. Moreover, In the trapping phenomena the number of bolus greater in Newtonian fluid compared to the Jeffery fluid by using different values of phase difference and magnetic field parameter.

Effect of Aligned Magnetic Field on MHD Squeezing Flow of Casson Fluid between Parallel Plates

The two-dimensional unsteady magnetohydrodynamic squeezing flow and heat transfer of Casson fluid between two parallel plates with aligned magnetic field and nonlinear thermal radiation is investigated theoretically. The resulting governing equations are transformed as set of ODEs and solved numerically by using bvp4c Matlab package. The influence of various pertinent parameters on the flow and temperature fields are discussed with the assistance of graphical illustrations. The reduced Nusselt number are presented through graphs. It is seen that increasing values of squeeze number depreciate the flow and temperature fields.

MHD Flow of a Carreau Fluid Past a Stretching Cylinder with Cattaneo-Christov Heat Flux Using Spectral Relaxation Method

A theoretical investigation of a hydromagnetic boundary layer flow of Carreau fluid over a stretching cylinder with surface slippage and temperature jump is presented in this paper. It is assumed that heat transfer characteristics of the flow follows Cattaneo-Christov heat flux model base on conventional Fourier’s law with thermal relaxation time. The spectral relaxation method (SRM) is being utilized to provide the solution of highly nonlinear system of coupled partial differential equations converted into dimensionless governing equations. The behaviour of flow parameters on velocity, temperature distributions are sketched as well as analyzed physically. The result indicates that the temperature distribution decay for higher temperature jump and thermal relaxation parameters respectively.

An exact solution on unsteady MHD free convection chemically reacting silver nanofluid flow past an exponentially accelerated vertical plate through porous medium

This article studies, an exact solution of unsteady MHD free convection boundary-layer flow of a silver nanofluid past an exponentially accelerated moving vertical plate through aporous medium in the presence of thermal radiation, transverse applied amagnetic field, radiation absorption and Heat generation or absorption with chemical reaction are investigated theoretically. We consider nanofluids contain spherical shaped nanoparticle of silverwith a nanoparticle volume concentration range smaller than or equal to 0.04. This phenomenon is modeled in the form of partial differential equations with initial boundary conditions. Some suitable dimensional variables are introduced. The corresponding dimensionless equations with boundary conditions are solved by using Laplace transform technique. The exact solutions for velocity, energy, and species are obtained, also the corresponding numerical values of nanofluid velocity, temperature and concentration profiles are represented graphically. The expressions for skin friction coefficient, the rate of heat transfer and mass transfer are derived. The present study finds applications involving heat transfer, enhancement of thermal conductivity and other applications like transportation, industrial cooling applications, heating buildings and reducing pollution, energy applications and solar absorption. The effect of heat transfer is found to be more pronounced in a silver–water nanofluid than in the other nanofluids.

A non-linear study of fluctuating fluid flow on MHD mixed convection through a vertical permeable plate

In this paper, an analytical solution for an unsteady (independent of time), MHD mixed convection, two-dimensional (x and y), laminar, viscous flow of an incompressible fluid through a vertical permeable plate in a porous medium was developed with these assumptions:(i) the suction velocity (which is normal to the plate)and the free stream velocity both fluctuate with respect to time with a fixed mean; (ii) the wall temperature is constant;(iii) difference between the temperature of the plate and the free stream is moderately large due to the free convection currents. Based on the physical configuration of the model, the governing equations are derived and are non-dimensionalize using dimensionless parameters. The resultant nonlinear partial differential equations are solved using double regular perturbation technique analytically. The results are computed numerically to understand the behaviour of the fluid (i.e., effects of MHD, viscosity, body force etc.) for various non-dimensional parameters involving like Grashof number Gr, Prandtl number Pr, Hartmann number M, Eckert number E, the Viscous ratio λ and so on for velocity and temperature. These results are found to be in good agreement with known results available in the literature in the absence of few physical parameters. The numerical values of the above said flow is discussed through graphs on velocity and temperature.

Effect of viscous dissipation of a magneto hydrodynamic micropolar fluid with momentum and temperature dependent slip flow

In this paper, MHD flow and heat transfer of electrically conducting micro polar fluid over a permeable stretching surface with slip flow in the existence of viscous dissipation and temperature dependent slip flow are investigated. With the help of similarity transformations, the fundamental equations have been altered into a system of ordinary differential equations. It is difficult to solve these equations methodically. Thats why we used bvp4c MATLAB solver. We found the Numerical values for the wall couple stress, skin-friction coefficient, and the local Nusselt number in addition to the micro rotation, velocity, and temperature reports for diverse values of the principal parameters like thermal slip parameter, material parameter, magnetic parameter, heat generation/absorption parameter, velocity slip parameter and Eckert number It is observed that the values of suction/injection parameters rise corresponding to the lessening in the values of velocity, angular velocity, and temperature. Moreover, the change in the values of the Eckert number is opposite to the change in the values of the local Nusselt number.