The low rate of thermal diffusion causes arising in velocity boundary layer thickness. Pr controls the relative thickness of the thermal and momentum boundary layers in the problems of heat transfer. Consequently Pr can be utilized to expand the percentage of cooling. Growth in Schmidt number declines the concentration boundary layer thickness. As Schmidt number is the ratio between viscous forces and mass diffusivity, therefore, it reduced the consecration as well as velocity profile. Physically, if the increase occurs in viscous forces, it leads to a decrease in the velocity of the fluid.

This shows the enhancement of temperature profiles by increasing heat generation parameter, which is because of a thickness of the thermal boundary layer. The variation of the ratio of buoyancy force N is highlighted in Fig. This shows the increasing effect on the velocity profile.

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Increase in N means, the increase of concentration gradients which leads the significant of buoyancy forces and hence observed a small rising near the plate. Physically, it is true because higher values of v make fall in the chemical molecular diffusivity, i. It is observed that MFFRP have greater velocity profile as compare to MFFRF, and the same result is analyzed for all three cases which is plotted in a , b and c for variable and oscillating sine and cosine oscillations conditions.

The comparison of present solution is made in Fig. It is observed that in the absence of Casson, Newtonian heating and chemical reaction parameters i. This shows the validity of our obtained solutions. Comparison plot of the present solution with Kumaresana et al. An exact analysis of unsteady, incompressible, Casson fluid of free convection flow ended moving vertical plate set in a pours medium, the constant magnetic field is vertically applied to the plate with the MFFRF and MFFRP, and our interest to focus on the motion of the fluid.

The influence of temperature and concentration is considered with the presence of thermal radiation and Newtonian-heating. The method of Laplace transformation is used to determine the closed form of concentration, velocity and temperature and the corresponding skin fraction are established in the term of error and complementary error functions.

The velocity is obtained for a variable and oscillating plate. Both the velocity and skin fraction are presented in the sum of their mechanical, thermal and concentration components.

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For comparison, the concentration, velocity and temperature profile have schemed graphically and the effect of the various parameter is studied. The main findings are as follows:. Contributions of concentration, thermal and mechanical component of velocity and skin fraction on the motion of fluid are significant and they cannot be ignored. Bejan, A. The thermodynamic design of heat and mass transfer processes and devices.

International Journal of Heat and Fluid Flow 8 4 , — Khan, I. Magnetohydrodynamic free convection flow past an oscillating plate embedded in a porous medium. Journal of the Physical Society of Japan 80 10 , Sandeep, N. Impact of cross diffusion on MHD viscoelastic fluid flow past a melting surface with an exponential heat source. Multi discipline Modeling in Materials and Structures. Radiation and inclined magnetic field effects on unsteady hydromagnetic free convection flow past an impulsively moving vertical plate in a porous medium.

Journal of Applied Fluid Mechanics 7 2 , — Kempannagari, A. Impact of frictional heating on MHD radiative ferrofluid past a convective shrinking surface. In Defect and Diffusion Forum Vol. Ramandevi, B. Alexandria Engineering Journal. Kumar, K. Alexandria engineering journal. Reddy, J. Ananth, P. Effect of nonlinear thermal radiation on stagnation flow of a Casson fluid towards a stretching sheet. Industrial Engineering Letters 5 , 70—79 Lakshmi, K.

Journal of Nanofluids 8 1 , 73—83 Shehzad, S. Effects of mass transfer on MHD flow of Casson fluid with chemical reaction and suction. Brazilian Journal of Chemical Engineering 30 1 , — Kataria, H.

Radiation and chemical reaction effects on MHD Casson fluid flow past an oscillating vertical plate embedded in porous medium. Alexandria Engineering Journal 55 1 , — Oka, S. Japanese Journal of Applied Physics , 10 3 Fung, Y. Bio dynamics circulation. Springer-Verlag, New York Inc. Akbar, N. Influence of magnetic field on peristaltic flow of a Casson fluid in an asymmetric channel: application in crude oil refinement.

Journal of Magnetism and Magnetic Materials , — Effect of aligned magnetic field on Casson fluid flow past a vertical oscillating plate in porous medium. Journal of Advanced Physics 5 4 , — Nadeem, S. MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet. Alexandria Engineering Journal 52 4 , — Mohyud-Din, S.

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Nonlinear radiation effects on squeezing flow of a Casson fluid between parallel disks. Aerospace Science and Technology 48 , — Ahmed, N. Effects on magnetic field in squeezing flow of a Casson fluid between parallel plates. Journal of King Saud University-Science 29 1 , — Das, M. Newtonian heating effect on unsteady hydromagnetic Casson fluid flow past a flat plate with heat and mass transfer.

Alexandria Engineering Journal 54 4 , — Newtonian heating effect on unsteady hydro magnetic Casson fluid flow past a flat plate with heat and mass transfer. Merkin, J. Natural-convection boundary-layer flow on a vertical surface with Newtonian heating.

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International Journal of Heat and Fluid Flow 15 5 , — Hussanan, A. An exact analysis of heat and mass transfer past a vertical plate with Newtonian heating. Journal of Applied Mathematics , 1—09 Unsteady boundary layer flow and heat transfer of a Casson fluid past an oscillating vertical plate with Newtonian heating. PloS one 9 10 , e Unsteady heat transfer flow of a Casson fluid with Newtonian heating and thermal radiation.

Jurnal Teknologi 78 4 , 1—7 Vieru, D. Magnetohydrodynamic natural convection flow with Newtonian heating and mass diffusion over an infinite plate that applies shear stress to a viscous fluid. Fetecau, C. Unsteady general solution for MHD natural convection flow with radiative effects, heat source and shear stress on the boundary.

Narahari, M. Unsteady magnetohydrodynamic free convection flow past an accelerated vertical plate with constant heat flux and heat generation or absorption. Kumaresana, E. Analytical investigations of diffusion thermo effects on unsteady free convection flow past an accelerated vertical plate. Frontiers in heat and mass transfer , 10 Rubbab, Q. Natural convection flow near a vertical plate that applies a shear stress to a viscous fluid. PloS one 8 11 , e Kumar, T. Unsteady MHD free convective boundary layer flow of a nanofluid past a moving vertical plate.

Tokis, J. A class of exact solutions of the unsteady magnetohydrodynamic free-convection flows. Astrophysics and space science 2 , — Onyango, E. American Journal of Applied Mathematics 3 5 , — Shah, N. General solution for MHD-free convection flow over a vertical plate with ramped wall temperature and chemical reaction. Arabian Journal of Mathematics 7 1 , 49—60 Download references. The author I.

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All authors reviewed the manuscript. Correspondence to Ilyas Khan. Reprints and Permissions. Journal of Thermal Analysis and Calorimetry Engineering with Computers By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate. Advanced search. Skip to main content. Subjects Applied mathematics Nanoparticles. Abstract The aim of this article is to study the combined effects of heat generation and chemical reaction on magnetohydrodynamic MHD natural convection flow over a moving plate embedded in a porous medium.

Introduction Previous work on the MHD natural convection flow with mass and heat transfer in electrically conducting fluid had taken much attention in the literature because of their wide applications in the field of electrical power generation, meteorology, solar physics, chemical engineering, and geophysics.

Mathematical Modeling and Solution Let suppose an electrically conducting, unsteady free convection incompressible flow of Casson fluid over an infinite perpendicular plate. The Solution of the Problem The concentration and temperature fields corresponding to this problem are obtained easily from the previous work, here we are interested in the solution of the fluid velocity field.

Results and Discussion Exact solution of MHD natural convection radiative flow of Casson fluid over a moving vertical plate with chemical reaction, concentration, and Newtonian heating are developed by using the Laplace transform method. Figure 1. Velocity plot profile against time t for the variable and oscillating plate. Full size image. Figure 2. Figure 3. Figure 4. Many structures such as automobile bodies, bridges and buildings are subjected to external forces due to the nature of the environment in which they exist.

## Journal of Heat and Mass Transfer Research (JHMTR)

This paper presents a method to decrease such resonant oscillations using magnetorheological dampers. The problem of free convection flow of a non-Newtonian power law fluid along an isothermal vertical flat plate embedded in the porous medium is considered in the present study.

The physical coordinate system is shown schematically in Fig The physical coordinate system is shown schematically in Fig 1. In the present study, it is assumed that Superposition of oscillatory shear imposed from the boundary and through pressure gradient oscillations and simple shear is investigated. The integral fluid with fading memory shows flow enhancement effects due to the nonlinear structure The integral fluid with fading memory shows flow enhancement effects due to the nonlinear structure.

Closed-form expressions for the change in the mass transport rate are given at the lowest significant order in the perturbation algorithm. The elasticity of the liquid plays as important a role in determining the enhancement as does the shear dependent viscosity. Coupling of shear thinning and elasticity may produce sharp increases in the flow rate.

The interaction of oscillatory shear components may generate a steady flow, either longitudinal or orthogonal, resulting in increases in flow rates akin to resonance, and due to frequency cancellation, even in the absence of a mean gradient. An algorithm to determine the constitutive functions of the integral fluid of order three is outlined.

Solutions of the two-dimensional Navier-Stokes equations by Chebyshev expansion methods. The steady two-dimensional Navier-Stokes equations in both the vorticity-stream function and the vorticity-velocity formulation are solved by Chebyshev expansion methods.

Numerical experiments for the driven flow in a rectangular cavity Numerical experiments for the driven flow in a rectangular cavity and the developing flow in a circular tube at low Reynolds numbers are described. This study deals the investigation of heat transfer of non-Newtonian fluid in the presence of a porous bounding wall. Perturbation method is applied for the solution of non-linear differential equation. The main focus of this paper is to The main focus of this paper is to investigate the effects of parameters such as Reynolds number Re, Prandtl number Pr, permeability parameter K and n in the velocity of fluid and temperature coefficient.

For fulfilling the purpose Matlab software has been used. The results show that velocity of non-Newtonian increases with increase of Reynolds number Re and temperature increases with increases of Prandtl number Pr. Development of the split-Hopkinson pressure bar technique for viscous fluid characterization. Centrifugal pumps are used to transport fluids by the conversion of rotational kinetic energy to the hydrodynamic energy of the fluid flow. The rotational energy commonly originates from a motor or electric engine.

The liquid enters the The liquid enters the direct impeller along or close to the pivoting hub and is quickened by the impeller, streaming radically outward into a diffuser or volute chamber packaging , from where it exits. Basic uses incorporate water, sewage, oil and petrochemical pumping; an outward fan is normally used to actualize a vacuum cleaner.

The capacity of the outward pump is a water turbine changing over potential energy of water weight into mechanical rotational energy. Basically, this paper revolves around the idea of investigating the effect and distribution of velocity profile and pressure within a pump by using water and non-Newtonian fluids. Finite element analysis of media used in the centrifugal force assisted abrasive flow machining process.

Przyklenk [12] conduc-ted parametric studies of AFM. The reasons for developing hybrid machining processes have been to combine or to make use of mutually suitable advantages and to avoid or reduce The reasons for developing hybrid machining processes have been to combine or to make use of mutually suitable advantages and to avoid or reduce some of the adverse effects the An advantage of the possibility of using the modified reformulation over the original It was shown that in the case of regularized lid-driven cavity flow the original reformulation has a lower limit for the Weissenberg number.

Below this limit the solution is unreliable. Such limit was not found for the modified non-singular reformulation. This allows to use this modified method also for the very low Weissenberg numbers i. Heat transfer due to electroosmotic flow of viscoelastic fluids in a slit microchannel.

The bio-microfluidic systems are usually encountered with non-Newtonian behaviors of working fluids. The rheological behavior of some bio-fluids can be described by differential viscoelastic constitutive equations that are related to PTT The rheological behavior of some bio-fluids can be described by differential viscoelastic constitutive equations that are related to PTT and FENE-P models. In the present work, thermal transport characteristics of the steady fully developed electroosmotic flow of these fluids in a slit microchannel with constant wall heat fluxes. Study of the axially symmetric motion of an incompressible viscous fluid between two concentric rotating spheres.

Transient non-Newtonian flow of a suspension with a compressible particle phase. A study of velocity discontinuity for single air bubbles rising in an associative polymer. Breakup of the tail of a bubble in a non-Newtonian fluid. Related Topics.

## Journal of Non-Newtonian Fluid Mechanics

Non-newtonian Fluid Mechanics. Follow Following. History of Reading and Writing. Engineering Physics. Exact Solutions.