Increase In Radiation Parameter Research Articles

Electroosmosis and transverse magnetic effects on radiative tangent hyperbolic nanofluid flow through porous medium

ABSTRACT Modelling the thermal and fluid properties based on fluid dynamic theory helps us better understand its mechanism and the effects of the flow conditions on the fluid. These concepts find their applications in understanding drug delivery, heat regulations in industrial machinery and military applications. In this study, the effect of MHD and electroosmosis on the radiative tangent hyperbolic nanofluid flow through a porous medium is investigated. Darcy's law, Brownian motion and thermophoresis effects have also been taken into consideration. In the process of formulation, the set of non-linear differential equations have been obtained. The equations for the continuity, momentum, temperature and nanoparticle volume fraction have been modified under the suitable non-dimensional quantities. The resulting dimensionless system of the equations have been solved using the bvp4c package in MATLAB software. It is observed that the velocity of the fluid increases with an increase in electroosmotic parameter. The velocity of the fluid increases with the increment in Darcy number. The temperature of the fluid significantly decreases with an increase in radiation parameter. The effects of Brownian motion and thermophoresis parameters on the nanoparticle volume fraction show that the nanoparticle volume fraction increases with the increment in Brownian motion parameter and significant decrement with the increase of thermophoresis parameter. Furthermore, the comparison study has been established in the presence/absence of electroosmosis parameter on the flow of Newtonian and tangent hyperbolic nanofluids.

A two‐component modeling for free stream velocity in magnetohydrodynamic nanofluid flow with radiation and chemical reaction over a stretching cylinder

AbstractThis analysis explores the influence of magnetohydrodynamic (MHD) nanofluid flow over a stretching cylinder with radiation effect in presence of chemically reactive species. The thermal radiation phenomenon is incorporated in the temperature equation. The mathematical modeling of the physical problem produces nonlinear set of partial differential equations corresponding to the momentum and energy equations that can be transformed into simultaneous system of ordinary differential equations with appropriate boundary conditions by applying similarity transformations. Shooting technique is used to solve the molded equations after adoption of Runge–Kutta–Fehlberg approach and ODE45 solver in MATLAB. A parametric analysis has been carried out to investigate the impacts of physical parameters that are considered in the current study. The attractive pattern studied the consequence of Brownian motion along with thermophoresis parameter. The outcomes of prominent fluid parameters, especially heat radiation, Lewis number, free stream velocity, chemical reaction, thermophoresis, and Brownian motion on the concentration, temperature, as well as velocity have been examined and are displayed through graphs and tables. The present study reveals that the temperature phenomenon enhances with an increase in radiation parameter, while nanoparticle concentration phenomenon reduces with an increase in chemical reaction parameter.

Hall and ion slip effects on magnetohydrodynamic convective rotating flow of Jeffreys fluid over an impulsively moving vertical plate embedded in a saturated porous medium with Ramped wall temperature

AbstractIn the present study, it is explored theoretically Hall and ion slip effects on the unsteady magnetohydrodynamic (MHD) rotating flow of a viscous, incompressible electrically conducting, and optically thick radiating Jeffreys fluid over an impulsively, moving vertical plate embedded in a saturated porous medium, when the temperature of the plate has a provisionally ramped profile. The exact solutions of the governing equations for the flow domain are attained by making use of the Laplace transform method. The specified analytical solutions are also acquired for some limiting cases. The research phrases of engineering curiosity for skin friction and Nusselt number are originated for both ramped wall temperature and the isothermal plate. Sherwood number is also obtained. The numerical results of velocity, temperature, and concentration distributions are exhibited graphically whereas skin friction, Nusselt number, and also Sherwood number are mentioned in a table form. It is observed that on either cases of ramped wall temperature and isothermal plate, the resultant velocity enhances with an increase in Hall and ion slip parameters. Reversal behavior is observed with an increase in magnetic field parameter, Jeffreys fluid parameter and Prandtl number. Thermal and concentration buoyancy forces and thermal radiation tend to accelerate the resultant velocity throughout the boundary layer region. The temperature reduces with an increase in Prandtl number and reverse effect is observed with an increase in thermal radiation parameter. Mass diffusion tends to enhance to species concentration. The rotation and Jeffreys fluid parameters tend to enhance both stress components. Nusselt number enables to lessen with growing in thermal radiation parameter and is magnified on escalating in time. The Sherwood number is improved with increasing in Schmidt number at the plate and it is refused on increasing in time.

Radiation Effect on Unsteady Free Convection and Mass Transfer Flow Between Two Vertical Parallel Plates with Newtonian Heating

The purpose of this study is to investigate analytically free convection flow between two vertical parallel plates with Newtonian heating and mass diffusion. Radiation also taken into consideration. Appropriate non-dimensional variables are used to transform the dimensional governing equations. The velocity, temperature and concentration profiles are solved analytically using Laplace Transform technique. The corresponding expressions for skin friction and Nusselt number are also calculated. The graphical results are displayed to illustrate the influence of Newtonian heating parameter, thermal radiation parameter, Prandtl number and Schmidt number. The effect of Newtonian heating parameter is observed whereby it increases the Nusselt number but decreases the skin friction. Results also shown that, Nusselt number decreases when radiation increases meanwhile skin friction decreases when radiation parameter increases.

Effect of Thermal Radiation on an Unsteady Magnetohydrodynamic Double Diffusive Boundary Layer Flow past a Permeable Infinite Vertical Plate with Heat Source

In this paper, effect of radiation and heat source parameters on temperature, concentration and velocity profile of an electrically conducting fluid passing through an infinite permeable plate is investigated. The governing equation, which was based on the balanced mass, linear momentum, energy and species concentration, were non-dimensionalized to reduce the equations to system of ordinary differential equations. This was then solved by perturbation technique. Effects of radiation parameter, heat source parameter, and Schmidt parameter are analyzed. We observed that the velocity and concentration profiles increase with increase in radiation parameter and heat source parameter. The temperature profile increases with decrease in radiation parameter with increases boundary layer thickness.

Radiative Effects on Unsteady MHD Couette Flow through a Parallel Plate with Constant Pressure Gradient

In this paper, the unsteady MHD Couette flow through a porous medium of a viscous incompressible fluid bounded by two parallel porous plates under the influence of thermal radiation and chemical reaction is investigated. A uniform suction and injection are applied perpendicular to the plates while the fluid motion is subjected to the constant pressure gradient. The transformed conservation equations are solved analytically subject to physically appropriate boundary conditions by using the Eigenfunction expansion technique. The influence of some emerging non-dimensional parameters namely, pressure gradient, suction parameter, radiation parameter, and Hartman number are examined in detail. It is observed that the primary velocity is increased with increasing pressure gradient while the increase in radiation parameter leads to adecrease in the thermal profile of the flow.

Heat transfer of water–graphene oxide nanofluid magnetohydrodynamic flow through a channel in the presence of the induced magnetic field

In the present study, the heat transfer of nanofluid magnetohydrodynamic (MHD) fluid flow through a channel with radiation and viscous dissipation effect is considered. Also, the induced magnetic field is considered. The main aim of the study is to obtain the impact of the induced magnetic field, nanoparticle volume fraction, non-electrically conducting, and conducting walls on the MHD nanofluid flow and heat transfer. Hence, the governing equations include momentum, energy, and induced magnetic field equations that are transformed into non-dimensional forms. The analytical least square method (LSM) and numerical finite element method (FEM) effectively conducted for solving the problem. The results of LSM and FEM are compared, and it is observed that there is an excellent agreement. The effect of several parameters such as Hartmann number, suction/injection parameter, magnetic Prandtl number, radiation parameter, Eckert number, and nanoparticle volume fraction are demonstrated and discussed. It can be concluded that the augmentation of the Hartmann number reduces the value of velocity by up to 50%, and the magnetic Prandtl number augmentation reduces the non-dimensional velocity value of about 10% but increases the induced current density value more than twice. Moreover, the increase of radiation parameter, Eckert number, and nanoparticle volume fraction enhance the heat transfer by 20–50%. Besides, the absolute value of the induced magnetic field increases when the Hartmann number rises. Further, the injection parameter decreases the value of velocity and induced magnetic field by 40–50%; whereas, the value of temperature increases by about 40%, and the induced current density increases by 5–7 times. The suction parameter has the contrary effect.

Unsteady MHD squeezing viscous Casson fluid flow in upright channel with cross-diffusion and thermal radiactive effects

The purpose of the present work is to analyse two-dimensional unsteady squeezing Casson fluid flow between porous channel along with cross-diffusion, viscous dissipation, radiation, and chemical reaction effects. To get the results of governing equations which are partial differential equations in nature, we have converted them into ordinary differential equations by utilizing suitable similarity transformation and then applied the optimal homotopy analysis method. The effects of various dimensionless parameters ascended in the velocity, temperature and concentration fields are discussed through graphs. Values of skin friction coefficient, Nusselt number, and Sherwood coefficients are derived and presented in tabular form. Results indicate that with enhancement in the values of the Casson parameter and magnetic parameter, the velocity decreases near the lower plate while it shows reverse behaviour near the upper one. The temperature of the fluid increases with an increase in both radiation parameter as well as with Eckert number while it decreases by augmenting values of the Casson parameter. Soret and Dufour number affect mass and heat transfer rate in reverse manner. Also, concentration decreases when chemical reaction parameter increases.

Heat and mass transfer effect on a radiative second grade MHD flow in a porous medium over a stretching sheet

A study on heat and mass transfer of a steady laminar boundary layer flow of an electrically conducting fluid of second grade in a porous medium subject to a uniform magnetic field past a semi-infinite stretching sheet with power law surface temperature or power law surface heat flux. The variations in fluid velocity, fluid temperature and species concentration are displayed graphically whereas the numerical values of skin friction, Nusselt number and Sherwood number are presented in tabular form for various values of the pertinent flow parameters. The asymptotic expansions of the solutions for large Prandtl number are also given for the two heating conditions. The temperature distribution decreases with the increase in thermal radiation parameter in case of PST and PHF. The rate of mass transfer at the solid surface increases in the presence of magnetic field and decreases with heavier diffusing species.

The Effect of Thermal Radiation and Variable Viscosity Parameters on a Fluid Flow Down Along an Inclined Plane With Free Surface

This paper investigates the effects of thermal radiation and variable viscosity flow down along an inclined plane with boundary conditions at free surface. The major problem includes internal heat generation, increase or decrease in temperature, and other thermo physical properties. The thermo physical properties include Grashf number, Nusselt number, Viscosity and Solar radiation parameter. The problems created have not been examined. Thus, this work examined the effect of temperature and velocity profiles on the various values of coefficient of viscosity, also the effects of solar radiation parameter on the major property of the fluid flow down along an inclined plane.The partial differential equations for the problem are continuity, momentum and energy equations. These are non- linear dimensionless equations governing the fluid flow down the inclined plane using integration method. The equations for the fluid flow, temperature and velocity of the problem are reduced to their final forms using perturbation method. Analytical expressions are employed to obtain the value of the velocity and temperature profiles in terms of parameters under the considerations in the flow field. The parameters are the major factors influencing the properties of the fluid flow down along an inclined plane.Hence, the viscosity of the fluid increases as the velocity of the fluid decreases while increase in the solar radiation parameter increases velocity of the fluid. Also the quantities of radiant energy absorbed by the fluid flow bring changes in the temperature of the fluid. Increase in Nusselt decreases the velocity of the fluid. Grashof number increases while the temperature of the fluid also decreases.In conclusion, viscosity of the fluid decreases with an increase in temperature due to cohesion and molecular momentum exchange between fluid layer and the parameters are found to have a significant effect over the velocity and temperature profiles of the fluid flow down an inclined plane at free surface. It will also useful for the industries in the production of the various fluids (liquid or gas) such as vegetable oil, palm oil and steam generation along an inclined plane and so on.

Effect of Radiation on Hydromagnetic Mixed Convective Flow in a Vertical Channel Filled With Porous Media: A Thermal Nonequilibrium Approach

AbstractThis work addresses the magnetic and radiation effects on the fully developed mixed convective flow in a vertical channel occupied by a porous medium with the thermal nonequilibrium state. The assumption that the fluid is electrically conducted is taken into account and permitted by a uniform transversal magnetic field while the temperature of the wall is changing linearly with the direction of the fluid flow. The spectral collocation technique is used for the numerical solution, whereas the analytical solution is governed for the special case when the drag force F* and the ratio of porosity-scaled thermal conductivity γ are zero. It is observed that, in the buoyancy assisted case, the fluid flow for Ra<102, (Nuf) increased near the wall with increasing the Hartmann number (M). Beyond this when Ra≥102, (Nuf) is decreased with increasing M. It is also perceived that there exists an interval [0,H0] in which (Nuf) increases with increasing M as well as increasing radiation parameter Rd, furthermore beyond the value of H0, Nuf decreasing asymptotically. While for the buoyancy opposed case, the flow separation and inflection point appear in the velocity profile for different values of M, further both the flow separation and inflection point are dying out as M increases. Overall, for the both cases, the magnetic and radiation parameters are stabilizing the flow in the system.

MHD flow and heat transfer of a hybrid nanofluid past a permeable stretching/shrinking wedge

The steady flow and heat transfer of a hybrid nanofluid past a permeable stretching/shrinking wedge with magnetic field and radiation effects are studied. The governing equations of the hybrid nanofluid are converted to the similarity equations by techniques of the similarity transformation. The bvp4c function that is available in MATLAB software is utilized for solving the similarity equations numerically. The numerical results are obtained for selected different values of parameters. The results discover that two solutions exist, up to a certain value of the stretching/shrinking and suction strengths. The critical value in which the solution is in existence decreases as nanoparticle volume fractions for copper and wedge angle parameter increase. It is also found that the hybrid nanofluid enhances the heat transfer rate compared with the regular nanofluid. The reduction of the heat transfer rate is observed with the increase in radiation parameter. The temporal stability analysis is performed to analyze the stability of the dual solutions, and it is revealed that only one of them is stable and physically reliable.

Investigation of nano-Bioconvective fluid motile microorganism and nanoparticle flow by considering MHD and thermal radiation

In this study, the magnetohydrodynamic (MHD) flow in the presence of microorganisms and nanoparticles on a surface are investigated. The desired outcomes are motile microorganism number, Nusselt number, skin friction coefficient, and Sherwood number. The effect of Brownian motion, thermal radiation, Schmidt number, thermophoresis, Peclet number, Magnetic field, and bioconvection Schmidt number on the desired outcomes are scrutinized. The governing nonlinear PDEs are converted into nonlinear ODEs, and ODEs are solved with MAPLE software by taking advantage of the Runge-Kutta fifth-order method. The results of this study indicate that the microorganism's profile decrements by both the Peclet number and the bio convection Schmidt number. Besides, the Sherwood number is an increasing function of the Schmidt number and thermophoresis parameter. Also, Nusselt number goes up by an increase in bioconvection Schmidt number, Pe number, Brownian motion, and radiation parameter. Furthermore, the dimensionless temperature increases by 31.7% when Brownian motion increases from 0.1 to 0.9. Additionally, by an increase in bio convection Schmidt number from 0.1 to 2, the dimensionless microorganisms profile decreases more than four times.

Effects of radiative heat and magnetic field on blood flow in an inclined tapered stenosed porous artery

ABSTRACT A porous tapered inclined stenosed artery under the influence of magnetic field with radiation was considered. The momentum and energy equations with thin radiation governing the blood flow in the inclined artery were obtained taking the flow to be Newtonian. These equations were simplified under assumptions of mild stenosis, non-dimensionalized and solved using Differential Transform Method (DTM). The DTM were coded on Mathematica software to obtain expressions for velocity, temperature and the volumetric flow rate of the blood. The results presented graphically show that the velocity of the blood flow and the blood temperature decreases as the radiation parameter (N) increases.

Homogeneous-heterogeneous reactions in MHD radiative flow of second grade fluid due to a curved stretching surface

Two-dimensional magnetohydrodynamics stretched flow of viscoelastic fluid with curved sheet is examined. Thermal radiation, Joule heating and homogeneous-heterogeneous reactions are employed to examine heat and mass transfer analysis. Suitable transformations are used to attain the nonlinear ordinary differential system. Solutions are derived numerically using quasi-linearization technique with an implicit finite difference method. Influence of certain variables on the fluid properties is discussed. Findings demonstrate that concentration of fluid is suppressed with increment in Schmidt number whereas temperature intensified for increasing radiation parameter. Fluid velocity and concentration reduces more rapidly for viscous fluid as compared to viscoelastic fluid. Also surface drag force is increasing function of second grade fluid parameter.

Heat and Mass Transfer Analysis on MHD Peristaltic Prandtl Fluid Model through a Tapered Channel with Thermal Radiation

This paper deals with a theoretical investigation of heat and mass transfer with thermal radiation analysis on hydromagnetic peristaltic Prandtl fluid model with porous medium through an asymmetric tapered vertical channel under the influence of gravity field. Analytical results are found for the velocity, pressure gradient, pressure rise, frictional force, temperature and concentration. The influence of varied governing parameters is discussed and illustrated diagrammatically through a set of figures. It can be seen that the axial velocity enhances with an increase in gravity parameter. It is observed that the temperature of the fluid reduces within the tapered asymmetric vertical channel by an increase in thermal radiation parameter. Blood flow in concentration profile increases with an increase in thermal radiation parameter. It is worth mentioning that the rate of pumping rises in all the four regions, i.e. retrograde pumping region, peristaltic pumping region, free pumping region and an augmented region with an increase in Prandtl fluid parameter.

Influence of suction/injection on MHD Casson fluid flow over a vertical stretching surface

In this paper, we analyzed heat transfer characteristics of a steady two-dimensional magnetohydrodynamic shear thickening Casson fluid across a vertical stretching sheet in the presence of variable heat source/sink. The impact of thermal radiation and velocity slip is also considered. With the suitable similarity transformations, the governing partial differential equations and the corresponding boundary conditions are transferred into ordinary ones and then solved numerically by using shooting and fourth-order Runge–Kutta methods. Simultaneous solutions are presented for the case of suction and injection. The effect of diverse non-dimensional parameters on distributions of velocity, temperature along with skin friction coefficient and the local Nusselt number is analyzed and presented through graphs and table for both suction and injection cases. Increase in Biot number and thermal radiation parameter supports to enhance the distribution of temperature. Escalation in the suction/injection parameter decreases both the distributions velocity and temperature in suction as well as injection cases are observed.

Entropy generation for peristaltic blood flow of a magneto-micropolar fluid with thermal radiation in a tapered asymmetric channel

Abstract The present paper aims to investigate the impacts of entropy generation and thermal radiation on peristaltic blood flow of a Magneto-micropolar fluid in a tapered channel. The analysis is carried out by using the low Reynolds number and long wavelength approximations. The governing equations are solved by Adomian Decomposition Method (ADM) and the expressions for velocity, stream function, axial induced magnetic field, current density, microrotation component, pressure gradient and entropy generation are obtained. The effect of various physical parameters such as heat source/sink parameter, thermal radiation parameter, Prandtl number, Hartmann number, micropolar coupling parameter, phase difference, Brinkmann number and Bejan number is illustrated graphically. Results reveal that entropy generation deceases with an increase of magnetic parameter, whereas it decreases with an increase of thermal radiation parameter. Such result helps in biomedical sciences. Further, it is found that the micropolar fluid model is more suitable for biofluids like blood.

Thermal Radiation Effects on Heat and Mass Transfer of Magnetohydrodynamics Dusty Jeffrey Fluid past an Exponentially Stretching Sheet

The heat and mass transfer of steady magnetohydrodynamics of dusty Jeffrey fluid past an exponentially stretching sheet in the presence of thermal radiation have been investigated. The main purpose of this study is to conduct a detailed analysis of flow behaviour of suspended dust particles in non-Newtonian fluid. The governing equations hav been converted into dimensionless form, and then solved numerically via the Keller-box method. The expression of Sherwood number, Nusselt number and skin friction have been evaluated, and then displayed in tabular forms. Velocity, temperature and concentration profiles are presented graphically. It is observed that large value of dust particles mass concentration parameter has reduced the flow velocity significantly. Increase in radiation parameter enhances the temperature, whereas the increment in Schmidt number parameter reduces the concentration.

Thermal slip and radiative heat transfer effects on electro‐osmotic magnetonanoliquid peristaltic propulsion through a microchannel

AbstractA mathematical study is described to examine the concurrent influence of thermal radiation and thermal wall slip on the dissipative magnetohydrodynamic electro‐osmotic peristaltic propulsion of a viscous nanoliquid in an asymmetric microchannel under the action of an axial electric field and transverse magnetic field. Convective boundary conditions are incorporated in the model and the case of forced convection is studied, that is, thermal and species (nanoparticle volume fraction) buoyancy forces neglected. The heat source and sink effects are also included and the diffusion flux approximation is employed for radiative heat transfer. The transport model comprises the continuity, momentum, energy, nanoparticle volume fraction, and electric potential equations with appropriate boundary conditions. These are simplified by negating the inertial forces and invoking the Debye–Hückel linearization. The resulting governing equations are reduced into a system of nondimensional simultaneous ordinary differential equations, which are solved analytically. Numerical evaluation is conducted with symbolic software (MATLAB). The impact of different control parameters (Hartmann number, electro‐osmosis parameter, slip parameter, Helmholtz–Smoluchowski velocity, Biot numbers, Brinkman number, thermal radiation, and Prandtl number) on the heat, mass, and momentum characteristics (velocity, temperature, Nusselt number, etc) are presented graphically. Increasing Brinkman number is found to elevate temperature magnitudes. For positive Helmholtz–Smoluchowski velocity (reverse axial electrical field) temperature is strongly reduced, whereas for negative Helmholtz–Smoluchowski velocity (aligned axial electrical field), it is significantly elevated. With increasing thermal slip, nanoparticle volume fraction is also increased. Heat source elevates temperatures, whereas heat sink depresses them, across the microchannel span. Conversely, heat sink elevates nanoparticle volume fraction, whereas heat source decreases it. Increasing Hartmann (magnetic) parameter and Prandtl number enhance the nanoparticle volume fraction. Furthermore, with increasing radiation parameter, the Nusselt number is reduced at the extremities of the microchannel, whereas it is elevated at intermediate distances. The results reported provide a good insight into biomimetic energy systems exploiting electromagnetics and nanotechnology, and, furthermore, they furnish a useful benchmark for experimental and more advanced computational multiphysics simulations.