Influence Of Thermal Radiation Research Articles

Mixed convection and heat generation/absorption aspects in MHD flow of tangent-hyperbolic nanoliquid with Newtonian heat/mass transfer

This article concentrates on the magnetohydrodynamic (MHD) stagnation point flow of tangent hyperbolic nanofluid in the presence of buoyancy forces. Flow analysis caused due to stretching surface. Characteristics of heat transfer are examined under the influence of thermal radiation and heat generation/absorption. Newtonian conditions for heat and mass transfer are employed. Nanofluid model includes Brownian motion and thermophoresis. The governing nonlinear partial differential systems of the problem are transformed into a systems of nonlinear ordinary differential equations through appropriate variables. Impact of embedded parameters on the velocity, temperature and nanoparticle concentration fields are presented graphically. Numerical computations are made to obtain the values of skin friction coefficient, local Nusselt and Sherwood numbers. It is concluded that velocity field enhances in the frame of mixed convection parameter while reverse situation is observed due to power law index. Effect of Brownian motion parameter on the temperature and heat transfer rate is quite reverse. Moreover impact of solutal conjugate parameter on the concentration and local Sherwood number is quite similar.

Thermal Radiation Effect on Non-Newtonian Fluid Flow over a Stretched Sheet of Non-Uniform Thickness

The influence of thermal radiation on a two-dimensional non-Newtonian fluid flow past a slendering stretching surface is investigated theoretically. Casson and Williamson fluid models are considered with Soret and Dufour effects. The transformed ODEs are solved numerically using the bvp5c Matlab package and dual solutions are executed for Casson and Williamson fluid cases. The influence of various parameters, namely, thermal radiation parameter, cross diffusion parameters and slip parameters on velocity, thermal and concentration distributions are discussed with the assistance of graphs. The local Nusselt and Sherwood numbers are computed and presented through tables. It is observed that the influence of cross diffusion is higher on Williamson flow when equated with the Casson flow.

Numerical analysis of MHD three-dimensional Carreau nanoliquid flow over bidirectionally moving surface

The present work has abundant applications in the branch of mechanical engineering. Heat and mass transport analysis is very important in the manufacturing of various mechanical systems like heat exchangers, domestic refrigerator, fuel cells, hybrid-powered engines and thermal management of vehicles. We explored the features of three-dimensional magnetohydrodynamic (MHD) flow and heat transport phenomenon of Carreau nanoliquid over a stretched sheet under the influence of thermal radiation. The system of ordinary differential expressions is developed through the implication of similarity variables. Solutions of governed non-linear expressions are accomplished by a well-known Runge–Kutta–Fehlberg fourth and fifth order scheme. The characterization of pertinent parameters is visualized through plotted graphs and tables. It is found that both Weissenberg number and magnetic field parameter enhance the temperature and reduce the liquid velocity. The temperature of liquid is increased when the values of Brownian motion and thermophoretic parameters enhance. A comparative benchmark is presented to justify the validity of solutions.

Finite element solutions of free convective Casson fluid flow past a vertically inclined plate submitted in magnetic field in presence of heat and mass transfer

ABSTRACTThe aim of this research work is to study the influence of thermal radiation on steady magnetohydrodynamic-free convective Casson fluid flow of an optically thick fluid over an inclined vertical plate with heat and mass transfer. Combined phenomenon of heat and mass transfer is considered. Numerical solutions in general form are obtained by using the finite element method. The sum of thermal and mechanical parts is expressed as velocity of fluid. Corresponding limiting solutions are also reduced from the general solutions. It is found that the obtained numerical solutions satisfy all imposed initial and boundary conditions and reduce to some known solutions from the literature as special cases. Numerical results for the controlling flow parameters are drawn graphically and discussed in detail. In some special cases, the obtained numerical results are compared and found to be in good agreement with the previously published results which are available in literature. Applications of this study includes laminar magneto-aerodynamics, materials processing and magnetohydrodynamic propulsion thermo-fluid dynamics, etc.

Thermodynamics Analysis of Unsteady MHD Mixed Convection with Slip and Thermal Radiation over a Permeable Surface

This paper discusses the thermodynamics irreversibility in an unsteady hydromagnetic mixed convective flow of an electrically conducting optically dense fluid over a permeable vertical surface under the combined influence of thermal radiation, velocity slip, temperature jump, buoyancy force, viscous dissipation, Joule heating and magnetic field. The governing partial differential equations are reduced to ordinary differential equations by using similarity variable. A local similarity solution is obtained numerically using shooting technique coupled with Runge-Kutta Fehlberg integration method. The influence of various thermophysical parameters on velocity and temperature profiles, skin friction, Nusselt number, entropy generation rate and Bejan number are presented graphically and discussed quantitatively. It is found that velocity slip, surface injection and temperature jump can successfully reduce entropy generation rate in the presence of an applied magnetic field. A comparison of numerical solution is made with the exact solution under a special case scenario and excellent agreement is found.

Numerical approach for magnetic nanofluid flow in a porous cavity using CuO nanoparticles

Influence of uniform magnetic field on nanofluid hydrothermal treatment in a porous enclosure is analyzed numerically using Control volume based finite element method. Influence of thermal radiation is considered in energy equation. Non-Darcy and KKL models have been utilized for porous media and nanofluid properties, respectively. Numerical approach is presented for various values of Radiation parameter, Darcy number, Hartmann number, volume fraction of nanofluid and Rayleigh number. Results indicated that heat transfer rate enhances with rise of Radiation parameter while it reduces with rise of Hartmann number. Also it can be concluded that Nusselt number has direct relationship with Darcy and Rayleigh numbers.

Thermal radiation of ferrofluid in existence of Lorentz forces considering variable viscosity

Influence of thermal radiation on nanofluid heat transfer in existence of Lorentz forces is investigated. Viscosity of Fe3O4 ferrofluid is considered as a function of magnetic field. CVFEM is selected to solve this problem. Effects of radiation parameter (Rd), inclination angle (ξ), Fe3O4-water volume fraction (ϕ), Hartmann (Ha) and Rayleigh (Ra) numbers are demonstrated graphically. A correlation for average Nusselt number is extracted. Results demonstrate that rate of heat transfer enhances with augment of inclination angle. Nusselt number augments with rise of buoyancy forces and radiation parameter but it reduces with rise of Hartmann number.

Magnetohydrodynamic Conjugate Flow of Casson Fluid Over a Vertical Plate Embedded in a Porous Medium with Arbitrary Wall Shear Stress

The influence of thermal radiation on unsteady magnetohydrodynamic (MHD) free convection flow of Casson fluid over a vertical plate embedded in porous medium with arbitrary wall shear stress has studied. Casson fluid is a non-Newtonian fluid. The partial differential equations that govern the flow, heat and mass transfer are transformed to non-dimensional by using suitable non-dimensional variables, which are then solved analytically by using the Laplace transform technique. Analytical expressions for velocity, temperature and concentration fields are determined. Additionally, the exact expressions of the Nusselt number and Sherwood number are also obtained. Numerical results of velocity, temperature and concentration profiles with various values of embedded flow parameters are graphically shown and the influences to the characteristic of the fluid flow are discussed in detail. The variations in Nusselt number and Sherwood number are displayed in tabular form.

Impact of anisotropic slip on transient three dimensional MHD flow of ferrofluid over an inclined radiate stretching surface

Abstract The present study explores the impact of anistropic slip on transient three dimensional MHD flow of Cobalt-kerosene ferrofluid over an inclined radiate stretching surface. The governing partial differential equations for this study are solved by the Thomas algorithm with finite-difference type. The impacts of several significant parameters on flow and heat transfer characteristics are exhibited graphically. The conclusion is revealed that the local Nusselt number is significantly promoted due to influence of thermal radiation whereas diminished with elevating the solid volume fraction, magnet parameter and slip factors. Further, the skin friction coefficients visualizes a considerable enhancement with boosting the magnet and radiation parameters, but a prominent reduction is recorded by elevating the solid volume fraction and slip factors.

Electromagnetohydrodynamic (EMHD) peristaltic flow of solid particles in a third-grade fluid with heat transfer

In this article, the Electromagnetohydrodynamic (EMHD) flow with heat transfer on third-grade fluid containing small particles has been investigated. The influence of thermal radiation are also taken under considerations. An external vertical magnetic field and horizontal electric field is applied while the induced magnetic field is very small and assumed to be negligible here. Long wavelength and zero Reynolds number approximation have been used to simplify the governing flow problem. The resulting highly nonlinear coupled ordinary differential equations are solved analytically with the help of perturbation method. The influence of all the pertinent parameters is discussed with the help of graphs for velocity profile, temperature profile, and pressure rise. Numerical computation has also been used to determine the expression for pressure rise. Trapping mechanism is also discussed with the help of streamlines.

Radiative flow of hyperbolic tangent liquid subject to Joule heating

Influence of thermal radiation in MHD stagnation point flow towards an exponentially stretching sheet is studied. Constitutive relation for an incompressible hyperbolic tangent liquid is taken into account. Consideration of Joule heating, thermal radiation and convective condition characterizes the heat transport process. Developed nonlinear expressions are calculated for meaningful series solutions of velocity and temperature. Characteristics for the significant variables on the physical quantities are graphically addressed. Comparison of present results with the previous published data are provided.

Hydromagnetic transport of dust particles in gas flow over an inclined plane with thermal radiation

In present article, hydromagnetic transport of dust particles in gas flow over an inclined plane is examined under the influence of thermal radiation and viscous dissipation. The Rosseland diffusion flux model is utilized for thermal radiation effects. The resulting non-linear ordinary differential equations are converted into similar forms via suitable similarity transforms and then tackled numerically by bvp4c built in code of Matlab software. The influences of numerous emergent parameters on flow features like velocities, temperature distributions and Nusselt number are depicted graphically and discussed in detail.

Influence of thermal radiation and chemical reaction in mixed convection stagnation point flow of Carreau fluid

Abstract This article is devoted to examine the mixed convection stagnation point flow of Carreau fluid with thermal radiation and chemical reaction. Heat transfer analysis is taken into account in the presence of heat generation/absorption. The developed nonlinear partial differential equations are reduced into the ordinary differential equations by suitable transformations. The governing equations are solved for the series solutions. The convergence of the series solutions for velocity, temperature and concentration fields is carefully analyzed. Numerical values of skin friction coefficient, Nusselt and Sherwood numbers are also computed and discussed in the presence of various sundry parameters. A comparative study is provided with the limiting available solution. It is concluded that velocity field enhances for material parameter. Reverse observation of heat generation holds for thermal field and local Nusselt number. Moreover influence of destructive chemical reaction parameter on the concentration and local Sherwood number are quite reverse.

Radial magnetic field and convective condition aspects for the peristalsis in a curved channel with compliant properties

Here the peristaltic activity is observed for the transport of a Prandtl fluid in a curved flow configuration with wall properties. A radially applied magnetic field is utilized for the magnetohydrodynamic (MHD) aspect. The heat transfer subject to convective constraints at the channel walls is analyzed. Influences of thermal radiation and Joule heating are retained. The problems corresponding to large wavelength and small Reynolds number are numerically solved. Results for velocity, temperature and heat transfer coefficient are particularly emphasized. Main findings are concluded. A comparison of the present results with those already available in the limiting sense is shown and discussed.

Analysis of heat transfer for unsteady MHD free convection flow of rotating Jeffrey nanofluid saturated in a porous medium

In this article, the influence of thermal radiation on unsteady magnetohydrodynamics (MHD) free convection flow of rotating Jeffrey nanofluid passing through a porous medium is studied. The silver nanoparticles (AgNPs) are dispersed in the Kerosene Oil (KO) which is chosen as conventional base fluid. Appropriate dimensionless variables are used and the system of equations is transformed into dimensionless form. The resulting problem is solved using the Laplace transform technique. The impact of pertinent parameters including volume fraction φ, material parameters of Jeffrey fluid λ1, λ, rotation parameter r, Hartmann number Ha, permeability parameter K, Grashof number Gr, Prandtl number Pr, radiation parameter Rd and dimensionless time t on velocity and temperature profiles are presented graphically with comprehensive discussions. It is observed that, the rotation parameter, due to the Coriolis force, tends to decrease the primary velocity but reverse effect is observed in the secondary velocity. It is also observed that, the Lorentz force retards the fluid flow for both primary and secondary velocities. The expressions for skin friction and Nusselt number are also evaluated for different values of emerging parameters. A comparative study with the existing published work is provided in order to verify the present results. An excellent agreement is found.

The Influence of Thermal Radiation on Effective Thermal Conductivity in Porous Material

Effective thermal conductivity is an important parameter of porous materials for measurement of heat insulation performance. Two-dimensional geometrical models based on micrographs of real material were constructed in this paper and the finite element approach was applied for thermal analysis, the effective thermal conductivity was calculated. The influence of radiation heat transfer, temperature, and porosity on thermal conductivity were analyzed. The results show that conduction heat transfer plays an important role in total heat transfer and the influence of radiation heat transfer was small at low temperature. Because of the increase in radiation heat transfer, the temperature gradient decreased obviously at high temperature and the heat flux lines passed through the pores and became relatively smooth; thus the radiation heat transfer plays an important role in total heat transfer at high temperature and the influence of radiation heat transfer cannot be ignored. Thermal conductivity for a high porosity value will be greater than thermal conductivity for a low porosity value at high temperature. This paper provides guidance for predicting thermal conductivity and reducing the heat transfer efficiency of porous materials at high temperature.

Influence of Thermal Radiation on Convective Boundary Layer Flow and Heat Transfer of Nanofluids Over a Moving Wedge

Influence of Thermal Radiation on Convective Boundary Layer Flow and Heat Transfer of Nanofluids Over a Moving Wedge

MHD Natural Convection Flow of Casson Nanofluid over Nonlinearly Stretching Sheet Through Porous Medium with Chemical Reaction and Thermal Radiation.

In the present work, the effects of chemical reaction on hydromagnetic natural convection flow of Casson nanofluid induced due to nonlinearly stretching sheet immersed in a porous medium under the influence of thermal radiation and convective boundary condition are performed numerically. Moreover, the effects of velocity slip at stretching sheet wall are also examined in this study. The highly nonlinear-coupled governing equations are converted to nonlinear ordinary differential equations via similarity transformations. The transformed governing equations are then solved numerically using the Keller box method and graphical results for velocity, temperature, and nanoparticle concentration as well as wall shear stress, heat, and mass transfer rate are achieved through MATLAB software. Numerical results for the wall shear stress and heat transfer rate are presented in tabular form and compared with previously published work. Comparison reveals that the results are in good agreement. Findings of this work demonstrate that Casson fluids are better to control the temperature and nanoparticle concentration as compared to Newtonian fluid when the sheet is stretched in a nonlinear way. Also, the presence of suspended nanoparticles effectively promotes the heat transfer mechanism in the base fluid.

Influence of thermal radiation and Joule heating in the Eyring–Powell fluid flow with the Soret and Dufour effects

A two-dimensional magnetohydrodynamic boundary layer flow of the Eyring–Powell fluid on a stretching surface in the presence of thermal radiation and Joule heating is analyzed. The Soret and Dufour effects are taken into account. Partial differential equations are reduced to a system of ordinary differential equations, and series solutions of the resulting system are derived. Velocity, temperature, and concentration profiles are obtained. The skin friction coefficient and the local Nusselt and Sherwood numbers are computed and analyzed.

Analytical and numerical investigation of thermal radiation effects on flow of viscous incompressible fluid with stretchable convergent/divergent channels

This article, investigates the flow of a viscous incompressible fluid between two nonparallel plane walls, known as Jeffery-Hamel flow, under the influence of thermal radiation. The walls are capable of stretching and shrinking rectilinearly. With the help of suitable similarity variables, the dimensional partial differential equations, governing the flow, are transformed into a coupled system of ordinary differential equations. The Soret and Dufour effects are also taken into consideration while modeling the flow. The analytical solution of the flow model is then obtained by employing Adomian's decomposition method. The same problem has also been solved numerically with the help of fourth order Runge-Kutta scheme. A comparison between the analytical and numerical solutions has been presented and discussed. The influence of different non-dimensional parameters appearing in the flow model on the velocity, temperature and concentration profiles is discussed with the help of graphs. The rates of heat and mass transfer at the walls are also investigated.