Radiation Absorption Parameter Research Articles

Free convective MHD micropolar fluid flow with thermal radiation and radiation absorption: A numerical study

AbstractAn analysis is carried out for the free convective flow of an electrically conducting micropolar fluid through permeable stretching sheet in the presence of porous medium. Inclusion of thermal radiation to the energy equation enhances the thermal properties of polar fluid. In addition to that the radiation absorption parameter occurs due to the interaction of solutal concentration difference also considered in the heat transfer equation. Suitable similar transformation is used to convert the governing partial differential equations to ordinary differential equations. Furthermore, though analytical solutions of these complex nonlinear coupled equations are more complicated therefore, numerical solution such as Runge‐Kutta fourth order method associated with shooting technique is adopted. Behavior of characterizing parameters for the flow phenomena are presented via graphs and computed values of physical quantities of interest are obtained and shown in tabular form. Present result validates with that of earlier results in particular case which confirms the existence of present solution methodology. However, the main findings of contributing parameters are laid down as; angular velocity profile contributes a dual character from the point of contact at the middle of the channel. Fluid temperature is affected by the inclusion of absorption coefficient.

An analytical approach to the metal and metallic oxide properties of Cu–water and $$\hbox {TiO}_{2}$$–water nanofluids over a moving vertical plate

An analysis was carried out to study the flow phenomena of an unsteady, electrically conducting, water-based nanofluid embedded with a porous matrix over a moving / stationary plate. The effects on the nanofluid flow were observed by taking copper (Cu) and titanium oxide $$(\hbox {TiO}_{2})$$ nanoparticles. The crux of the investigation is to examine the influence of thermal radiation, radiation absorption parameter accounted for in the energy equation. The first-order chemical reaction was also taken care of by incorporating it into the solutal transfer equation. Closed form solution holds good for nonlinear coupled partial differential equations. Solutions of these equations are obtained by employing Laplace transform technique. The effects of parameters such as magnetic parameter, porous matrix, thermal and mass buoyancy parameters, thermal radiation, heat absorption parameter, radiation conduction parameter, Prandtl and Schmidt numbers and the homogeneous chemical reaction are shown via graphs. The results for the physical quantities of interest such as the rate of shear stress and the rate of heat and mass transfer coefficients are also obtained and presented through graphs. Observing these, the emerging role of a few parameters is elaborated in the results and discussion section.

Laminar Mixed Convection Flow from a Vertical Surface with Induced Magnetic Field and Convective Boundary

The objective of this investigation is to study the influence of thermal radiation and radiation absorption parameter on a mixed convection flow over a continuously moving porous vertical plate under the action of transverse applied magnetic field taking into account the induced magnetic field with convective boundary. Under certain assumptions, the solutions for the velocity field, temperature distribution and induced magnetic field are obtained. The influences of various parameters on the velocity, temperature fields and on induced magnetic fields are studied graphically. It is also found that the dimensionless Prandtl number, Grashof number, Schmidt number and magnetic parameter have an appreciable influence on the independent variables.

Unsteady reactive magnetic radiative micropolar flow, heat and mass transfer from an inclined plate with Joule heating: A model for magnetic polymer processing

Magnetic polymer materials processing involves many multi-physical and chemical effects. Motivated by such applications, in the present work, a theoretical analysis is conducted of combined heat and mass transfer in unsteady mixed convection flow of micropolar fluid over an oscillatory inclined porous plate in a homogenous porous medium with heat source, radiation absorption and Joule dissipation. A first-order homogenous chemical reaction model is used. The transformed non-dimensional boundary value problem is solved using a perturbation method and Runge–Kutta fourth-order numerical quadrature (shooting technique). The emerging parameters dictating the transport phenomena are shown to be the gyro-viscosity micropolar material parameter, magnetic field parameter, permeability of the porous medium, Prandtl number, Schmidt number, thermal Grashof number, species Grashof number, thermal radiation–conduction parameter, heat absorption parameter, radiation absorption parameter, Eckert number, chemical reaction parameter and Eringen coupling number (vortex viscosity ratio parameter). The impact of these parameters on linear velocity, micro-rotation (angular velocity), temperature and concentration are evaluated in detail. Results for skin friction coefficient, couple stress coefficient, Nusselt number and Sherwood number are also included. Couple stress is observed to be reduced with stronger magnetic field. Verification of solutions is achieved with earlier published analytical results.

Chemically reacting on MHD boundary layer flow of CuO-water and MgO-water nanofluids past a stretching sheet in porous media with radiation absorption and heat generation/absorption

In the present investigation, a numerical analysis has been carried out for steady two dimensional MHD free convective boundary layer flows of electrically conducting nanofluids past a uniformly stretching sheet through porous media with radiation absorption, heat generation/absorption, thermal radiation, chemical reaction, thermo-diffusion and diffusion – thermo effects. We considered two types of nanofluids namely MgO-water and CuO-water. The mathematical model was governed by a system of linear and non-linear partial differential equations with prescribed boundary conditions. The governing boundary-layer equations are first transformed into a system of coupled nonlinear ordinary differential equations using similarity variables. The transformed equations were solved numerically by the shooting method with Runge-Kutta scheme. Finally the effects of various dimensionless governing parameters like magnetic field parameter, chemical reaction parameter, thermal radiation parameter, radiation absorption parameter, heat generation parameter, Dufour number, Soret number, volume fraction of the nanoparticles and shape of the nanoparticles on velocity, temperature and concentration profiles along with the friction factor, local Nusselt and Sherwood numbers are thoroughly studied and explicitly explained in tabular form.

An Exact Analysis of Unsteady MHD Free Convective Chemically Reacting Elasto-Viscous Fluid Flow Past an Impulsively Started Infinite Vertical Plate Through Porous Medium in the Presence of Radiation Absorption

In this paper, an exact analysis is carried out for the Laplace transform solution of unsteady MHD chemically reacting elasto-viscous fluid past an infinite vertical plate through porous medium in the presence of radiation absorption and transverse applied magnetic field. The governing equations describing the flow pattern are transformed to a system of linear partial differential equations using appropriate non-dimensional quantities. The resulting transformed equations are solved analytically by using Laplace transform technique and exact solutions for velocity, temperature and concentration as well as Nusselt number and Sherwood number are obtained in terms of exponential and complementary error functions. Behaviour of emerging parameters like elasto-viscous, heat absorption, radiation absorption, magnetic field, Schmidt number, chemical reaction, thermal Grashof number, mass Grashof number, Prandtl number and time is presented graphically and discussed in detail. It was found that increasing radiation absorption parameter, velocity is decreasing for elasto-viscous fluid, but the reverse effect is found for viscous fluid in case of cooling of the plate. An increase in heat absorption, Schmidt number and chemical reaction lead to rise in the Sherwood number and Nusselt number while a reverse effect is noticed in the flow transport.

Numerical investigation of MHD free convection flow of a non-Newtonian fluid past an impulsively started vertical plate in the presence of thermal diffusion and radiation absorption

A numerical investigation is carried out on an unsteady MHD free convection flow of a well-known non-Newtonian visco elastic second order Rivlin-Erickson fluid past an impulsively started semi-infinite vertical plate in the presence of homogeneous chemical reaction, thermal radiation, thermal diffusion, radiation absorption and heat absorption with constant mass flux. The presence of viscous dissipation is also considered at the plate under the influence of uniform transverse magnetic field. The flow is governed by a coupled nonlinear system of partial differential equations which are solved numerically by using finite difference method. The effects of various physical parameters on the flow quantities viz. velocity, temperature, concentration, Skin friction, Nusselt number and Sherwood number are studied numerically. The results are discussed with the help of graphs. We observed that the velocity decreases with an increase in magnetic field parameter, Schmidt number, and Prandtl number while it increases with an increase in Grashof number, modified Grashof number, visco-elastic parameter and Soret number. Temperature increases with an increase in radiation absorption parameter, Eckert number and visco-elastic parameter while it decreases with increasing values of radiation parameter, Prandtl number and heat absorption parameter. Concentration increases with increase in Soret number while it decreases with an increase in Schmidt number and chemical reaction parameter.

MHD Convective Heat and Mass Transfer Flow of a Newtonian Fluid Past a Vertical Porous Plate with Chemical Reaction, Radiation Absorption and Thermal Diffusion

In this manuscript, we have investigated the influence of radiation absorption on an unsteady MHD convective heat and mass transfer flow of a Newtonian fluid past a vertical porous plate in the presence of thermal radiation and chemical reaction. The non dimensional governing equations have been solved by using a multiple perturbation method, subject to the corresponding boundary conditions. The effects of various physical parameters such as velocity, temperature and concentration are studied through graphs. The expressions for local skin friction, Nusselt number and Sherwood number are derived and discussed with the help of a table. It is noticed that velocity increases when an increase in modified Grashof number Gm, radiation absorption parameter χ, Sorret number S0, time t whereas it decreases when an increase in Schmidt number Sc, chemical reaction parameter Kr and radiation parameter F. Temperature increases with an increase in radiation parameter χ and Sorret number S0whereas it decreases with an increase in chemical reaction parameter Kr, F and ϕ. Concentration is observed to be decreased when chemical reaction parameter Kr and Schmidt number Sc increase whereas it increases with an increase in Sorret number S0. Skin friction increases with an increase modified Grashof number Gm, radiation parameter χ and Sorret number S0whereas it has reverse effect in the case of Schmidt number Sc, chemical reaction parameter Kr. Nusselt number increases with an increase in Sc, S0, χ whereas it has reverse effect in the case of Kr. Sherwood number gets decreased when Sc, χ and Kr both are increased whereas it has shown revere effect in the case of S0.

Unsteady MHD Free Convection Flow of a Kuvshinski Fluid Past a Vertical Porous Plate in the Presence of Chemical Reaction and Heat Source/Sink

Unsteady magneto hydrodynamic (MHD) free convection flow of a viscous, incompressible and electrically conducting, well known non-Newtonian fluid named as Kuvshinski fluid past an infinite vertical porous plate in the presence of homogeneous chemical reaction, radiation absorption and heat source/sink is studied analytically. The plate is assumed to move with a constant velocity in the direction of fluid flow. A magnetic field of uniform strength is applied perpendicular to the plate, which absorbs the fluid with a suction that varies with time. The dimensionless governing equations are solved analytically using two terms harmonic and non-harmonic functions. The expressions for the fields of velocity, temperature and concentration are obtained. With the aid of these the expressions for skin friction, Nusselt number and Sherwood number are derived. The effects of various physical parameters on the flow quantities are studied through graphs and tables. For the validity, we have checked our results with previously published work and found in good agreement. Velocity decreases for an increase in visco elastic parameter α2, heat absorption coefficient φ, the chemical reaction parameter γ , the magnetic field parameter M, the Prandtl number Pr, the Schmidt number Sc, and increases for increase in Grashof number Gm, the radiation absorption parameter Q1

Unsteady MHD Free Convection Boundary Layer Flow of Radiation Absorbing Kuvshinski Fluid through Porous Medium

An analytical study is carried out for an unsteady MHD two dimensional free convection flow of a viscous, incompressible, radiating, chemically reacting and radiation absorbing Kuvshinski fluid through a porous medium past a semi-infinite vertical plate. The dimensionless equations governing the flow are solved by simple perturbation technique. The expressions for velocity, temperature and concentration are derived. The influence of various material parameters on flow quantities are studied and discussed with the help of graphs. The expressions for Skin friction, Nusselt number and Sherwood number are also derived and discussed numerically. Temperature increases with an increase in radiation parameter and radiation absorption parameter where as it decreases with an increase in Prandtl number. Concentration is observed to be decreased when chemical reaction parameter and Schmidt number increase.