The Experts below are selected from a list of 5175 Experts worldwide ranked by ideXlab platform
Tasawar Hayat - One of the best experts on this subject based on the ideXlab platform.
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Darcy-Forchheimer Three-Dimensional Flow of Williamson Nanofluid over a Convectively Heated Nonlinear Stretching Surface
Communications in Theoretical Physics, 2017Co-Authors: Tasawar Hayat, Taseer Muhammad, Arsalan Aziz, Ahmed AlsaediAbstract:The present study elaborates three-dimensional flow of Williamson nanoliquid over a nonlinear stretchable Surface. Fluid flow obeys Darcy–Forchheimer porous medium. A bidirectional nonlinear Stretching Surface generates the flow. Convective Surface condition of heat transfer is taken into consideration. Further the zero nanoparticles mass flux condition is imposed at the boundary. Effects of thermophoresis and Brownian diffusion are considered. Assumption of boundary layer has been employed in the problem formulation. Convergent series solutions for the nonlinear governing system are established through the optimal homotopy analysis method (OHAM). Graphs have been sketched in order to analyze that how the velocity, temperature and concentration distributions are affected by distinct emerging flow parameters. Skin friction coefficients and local Nusselt number are also computed and discussed.
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homogeneous heterogeneous reactions in mhd flow of micropolar fluid by a curved Stretching Surface
Journal of Molecular Liquids, 2017Co-Authors: Rai Sajjad, Ahmed Alsaedi, Rahmat Ellahi, Tasawar Hayat, Taseer MuhammadAbstract:Abstract The purpose of present investigation is to provide an analytical treatment of magnetohydrodynamic (MHD) flow of micropolar fluid due to a curved Stretching Surface. Homogeneous-heterogeneous reactions are taken into consideration. Heat transfer process is explored through heat generation/absorption effects. Micropolar liquid is electrically conducted subject to uniform applied magnetic field. Boundary layer approximation and small magnetic Reynolds number assumptions are employed in the mathematical development. The reduction of partial differential system to nonlinear ordinary differential system has been made by employing suitable variables. The obtained nonlinear systems have been computed and analyzed. The characteristics of various sundry parameters are studied through graphically and numerically. Moreover the physical quantities like skin friction and couple stress coefficients and local Nusselt number are described by numerical data.
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Numerical study for nanofluid flow due to a nonlinear curved Stretching Surface with convective heat and mass conditions
Results in Physics, 2017Co-Authors: Tasawar Hayat, Taseer Muhammad, Arsalan Aziz, Ahmed AlsaediAbstract:Abstract This article presents the simultaneous effects of convective heat and mass conditions in boundary-layer flow of nanoliquid due to a nonlinear curved Stretching Surface. A nonlinear curved Stretching Surface is used to generate the flow. Thermophoretic diffusion and random motion features are also incorporated. Convective heat and mass conditions are imposed at boundary. Suitable variables are utilized to convert the nonlinear partial differential system into nonlinear ordinary differential system. The obtained nonlinear systems are solved numerically through shooting technique. Plots are displayed in order to explore the role of physical flow variables on the solutions. The skin-friction coefficient and local Nusselt and Sherwood numbers are computed and examined. Our findings indicate that the local Nusselt and Sherwood numbers are reduced for larger values of thermophoresis parameter.
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Active and passive controls of Jeffrey nanofluid flow over a nonlinear Stretching Surface
Results in Physics, 2017Co-Authors: Tasawar Hayat, Taseer Muhammad, Arsalan Aziz, Ahmed AlsaediAbstract:This communication explores magnetohydrodynamic (MHD) boundary-layer flow of Jeffrey nanofluid over a nonlinear Stretching Surface with active and passive controls of nanoparticles. A nonlinear Stretching Surface generates the flow. Effects of thermophoresis and Brownian diffusion are considered. Jeffrey fluid is electrically conducted subject to non-uniform magnetic field. Low magnetic Reynolds number and boundary-layer approximations have been considered in mathematical modelling. The phenomena of impulsing the particles away from the Surface in combination with non-zero mass flux condition is known as the condition of zero mass flux. Convergent series solutions for the nonlinear governing system are established through optimal homotopy analysis method (OHAM). Graphs have been sketched in order to analyze that how the temperature and concentration distributions are affected by distinct physical flow parameters. Skin friction coefficient and local Nusselt and Sherwood numbers are also computed and analyzed. Our findings show that the temperature and concentration distributions are increasing functions of Hartman number and thermophoresis parameter. Keywords: Jeffrey fluid, Nanoparticles, Active and passive controls of nanoparticles, Nonlinear Stretching Surface, OHA
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Stagnation point flow towards nonlinear Stretching Surface with Cattaneo-Christov heat flux
The European Physical Journal Plus, 2016Co-Authors: Tasawar Hayat, M. Zubair, Muhammad Ayub, Muhammad Waqas, A. AlsaediAbstract:Here the influence of the non-Fourier heat flux in a two-dimensional (2D) stagnation point flow of Eyring-Powell liquid towards a nonlinear stretched Surface is reported. The Stretching Surface is of variable thickness. Thermal conductivity of fluid is taken temperature-dependent. Ordinary differential systems are obtained through the implementation of meaningful transformations. The reduced non-dimensional expressions are solved for the convergent series solutions. Convergence interval is obtained for the computed solutions. Graphical results are displayed and analyzed in detail for the velocity, temperature and skin friction coefficient. The obtained results reveal that the temperature gradient enhances when the thermal relaxation parameter is increased.
Ioan Pop - One of the best experts on this subject based on the ideXlab platform.
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Stretching Surface in rotating viscoelastic fluid
Applied Mathematics and Mechanics, 2013Co-Authors: Khairy Zaimi, Anuar Mohd Ishak, Ioan PopAbstract:The boundary layer flow over a Stretching Surface in a rotating viscoelastic fluid is considered. By applying a similarity transformation, the governing partial differential equations are converted into a system of nonlinear ordinary differential equations before being solved numerically by the Keller-box method. The effects of the viscoelastic and rotation parameters on the skin friction coefficients and the velocity profiles are thoroughly examined. The analysis reveals that the skin friction coefficients and the velocity in the x-direction increase as the viscoelastic parameter and the rotation parameter increase. Moreover, the velocity in the y-direction decreases as the viscoelastic parameter and the rotation parameter increase.
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Heat Transfer Near Stretching Surface in Porous Medium Using Thermal Nonequilibrium Model
Journal of Thermophysics and Heat Transfer, 2012Co-Authors: Waqar A. Khan, Ioan PopAbstract:The effect of adopting a two-temperature model of heat transfer on the classical problem of flow near the two-dimensional stagnation point on an infinite Stretching Surface in a porousmedium is studied in this paper. Such a model, which allows the solid and fluid phases to be in a local thermal nonequilibrium, has been found to modify substantially the behavior of heat transfer characteristics. The results obtained also show that the velocity and temperature fields are appreciably influenced by the porous medium parameter.
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Two-dimensional oblique stagnation-point flow towards a Stretching Surface in a viscoelastic fluid
Open Physics, 2011Co-Authors: Iqbal Husain, Fotini Labropulu, Ioan PopAbstract:In this paper, the steady two-dimensional stagnation-point flow of a viscoelastic Walters’ B’ fluid over a Stretching Surface is examined. It is assumed that the fluid impinges on the wall obliquely. Using similarity variables, the governing partial differential equations are transformed into a set of two non-dimensional ordinary differential equations. These equations are then solved numerically using the shooting method with a finite-difference technique.
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Unsteady flow across a Stretching Surface
International Communications in Heat and Mass Transfer, 2010Co-Authors: Fadzilah Md Ali, Roslinda Mohd. Nazar, Norihan Md. Arifin, Anuar Mohd Ishak, Ioan PopAbstract:In this paper, the problem of unsteady uniform flow across a Stretching Surface in an arbitrary direction is studied theoretically, where the unsteadiness is caused by the impulsive motion of the Stretching Surface. Numerical results of the governing partial differential equations are obtained using an implicit finite-difference scheme for the whole transient from the early or initial unsteady-state flow to the final steady-state flow. The early unsteady-state flow is solved analytically. The numerical solution obtained for the reduced skin friction coefficient is compared with previously reported results and the results for velocity profiles, h and g profiles are also presented in this paper. It is found that there is a smooth transition from the small-time solution (initial unsteady flow) to the large-time solution (final steady-state flow).
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three dimensional flow over a Stretching Surface in a viscoelastic fluid
Nonlinear Analysis-real World Applications, 2008Co-Authors: Tasawar Hayat, Muhammad Sajid, Ioan PopAbstract:This article looks at the hydrodynamic elastico-viscous fluid over a Stretching Surface. The equations governing the flow are reduced to ordinary differential equations, which are analytically solved by applying an efficient technique namely the homotopy analysis method (HAM). The solutions for the velocity components are computed. The numerical values of wall skin friction coefficients are also tabulated. The present HAM solution is compared with the known exact solution for the two-dimensional flow and an excellent agreement is found.
G. Nath - One of the best experts on this subject based on the ideXlab platform.
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Flow and heat transfer on a Stretching Surface in a rotating fluid with a magnetic field
International Journal of Thermal Sciences, 2003Co-Authors: Harmindar S. Takhar, Ali J. Chamkha, G. NathAbstract:An analysis has been developed in order to study the flow and heat transfer on a Stretching Surface in a rotating fluid, in the presence of a magnetic field. The partial differential equations governing the non-similar flow have been solved numerically by using the implicit finite difference and the difference-differential methods. The magnetic field increases the skin friction coefficient in the x-direction, but reduces the skin friction coefficient in the y-direction and the Nusselt number also decreases. On the other hand, the skin friction coefficients in x and y directions increase, in general, with the rotation parameter, but the Nusselt number decreases. The Nusselt number also increases with the Prandtl number.
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Viscoelastic fluid flow over a continuous Stretching Surface with mass transfer
Mechanics Research Communications, 1995Co-Authors: Rajeswari Seshadri, Nalini Sreeshylan, G. NathAbstract:The study of boundary layers over a continuous moving or Stretching Surface is important in several engineering processes. For example, materials manufactured by extrusion processes and heat treated materials travelling between a feed roll and a wind-up roll or on conveyor belts have the characteristics of a continuous moving or Stretching Surface. Sakiadis [1] and Crane [2] were probably the first to study the boundary layer flow over a continuously moving or a stretddng Surface in an ambient fluid. This boundary layer flow is quite different from the boundary layer flow over a stationary semi-infinite plate in a fluid with a. free stream. Since then, several authors [3-8] have studied various aspects of this problem.
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Unsteady three-dimensional boundary layer flow due to a Stretching Surface
Acta Mechanica, 1993Co-Authors: V. Rajeswari, Mahesh Kumari, G. NathAbstract:In this numerical study, the unsteady laminar incompressible boundary-layer flow over a continuously Stretching Surface has been investigated when the velocity of the Stretching Surface varies arbitrarily with time. Both the nodal and the saddle point regions of flow have been considered for the analysis. Also, constant wall temperature/concentration and constant heat/mass flux at the Stretching Surface have been taken into account. The quasilinearisation method with an implicit finite-difference scheme is used in the nodal point region (0≦c≦1) wherec denotes the Stretching ratio. This method fails in the saddle point region (−1≦c≦0) due to the occurrence of reverse flow in they-component of velocity. In order to overcome this difficulty, the method of parametric differentiation with an implicit finite-difference scheme is used, where the values atc=0 are taken as starting values. Results have been obtained for the Stretching velocities which are accelerating and decelerating with time. Results show that the skin friction, the heat transfer and the mass transfer parameters respond significantly to the time dependent Stretching velocities. Suction (A>0) is found to be an important parameter in obtaining convergent solution in the case of the saddle point region of flow. The Prandtl number and the Schmidt number strongly affect the heat and mass transfer of the diffusing species, respectively.
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Unsteady flow over a Stretching Surface in a rotating fluid
International Journal of Engineering Science, 1992Co-Authors: V. Rajeswari, G. NathAbstract:The unsteady laminar, incompressible boundary layer flow caused by the Stretching of a flat Surface in a rotating fluid has been studied when the Surface is stretched in a particular manner. The partial differential equations governing the semi-similar case and the ordinary differential equations governing the self-similar case have been solved numerically using the finite-difference scheme in combination with the quasilinearization technique. The solution is found to depend on a parameter λ which signifies the relative importance of rotation rate to Stretching rate. The effect of power-law variation of the Surface temperature and Surface heat flux on the heat transfer characteristics of the Stretching Surface has been analysed. The temperature parameter (m) is found to play an important role in the heat transfer characteristics of the Surface. The magnitude of m affects the direction of flow and quantity of heat transfer. For m = -1, there is no heat transfer occurring between the Stretching Surface and the ambient fluid in the steady state for prescribed wall temperature
Jagadish V. Tawade - One of the best experts on this subject based on the ideXlab platform.
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MHD AND HEAT TRANSFER IN A THIN FILM OVER AN UNSTEADY Stretching Surface WITH COMBINED EFFECT OF VISCOUS DISSIPATION AND NON-UNIFORM HEAT SOURCE
2013Co-Authors: Anand H. Agadi, Jagadish V. TawadeAbstract:We have studied two-dimensional flow of a thin film over a horizontal Stretching Surface. The flow of a thin fluid film and subsequent heat transfer from the Stretching Surface is investigated with the aid of similarity transformation. The transformation enables to reduce the unsteady boundary layer equations to a system of non-linear ordinary differential equations. Numerical computation for the resulting nonlinear differential equations is obtained by Runge-Kutta fourth order method with efficient shooting technique, which agrees well with the analytic solution. It is shown that the heat fluxes from the liquid to the elastic sheet decreases with S for Pr 0.1 ≤ and increases with S for Pr 1 ≥ . Some important findings reported in this work reveals that the effect of non-uniform heat source have significant impact in controlling rate heat transfer in the boundary layer region.
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Heat transfer in a liquid film over an unsteady Stretching Surface with viscous dissipation in presence of external magnetic field
Applied Mathematical Modelling, 2009Co-Authors: M. Subhas Abel, N. Mahesha, Jagadish V. TawadeAbstract:AbstractThis paper presents a mathematical analysis of MHD flow and heat transfer to a laminar liquid film from a horizontal Stretching Surface. The flow of a thin fluid film and subsequent heat transfer from the Stretching Surface is investigated with the aid of similarity transformation. The transformation enables to reduce the unsteady boundary layer equations to a system of non-linear ordinary differential equations. Numerical solution of resulting non-linear differential equations is found by using efficient shooting technique. Boundary layer thickness is explored numerically for some typical values of the unsteadiness parameter S and Prandtl number Pr, Eckert number Ec and Magnetic parameter Mn. Present analysis shows that the combined effect of magnetic field and viscous dissipation is to enhance the thermal boundary layer thickness
Muhammad Mushtaq - One of the best experts on this subject based on the ideXlab platform.
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Analytical solutions of the boundary layer flow of power-law fluid over a power-law Stretching Surface
Communications in Nonlinear Science and Numerical Simulation, 2013Co-Authors: Mudassar Jalil, Saleem Asghar, Muhammad MushtaqAbstract:Abstract This article discusses analytical solutions for a nonlinear problem arising in the boundary layer flow of power-law fluid over a power-law Stretching Surface. Using perturbation method analytical solution is presented for linear Stretching Surface. This solution covers large range of shear thinning and shear thickening fluids and matches excellently with the numerical solution. Furthermore, some new exact solutions are found for particular combination of m (power-law Stretching index) and n (power-law fluid index). This leads to generalize the case of linear Stretching to nonlinear Stretching Surface. The effects of fluid index n on the boundary layer thickness and the skin friction for nonlinear Stretching Surface is analyzed and discussed. It is observed that the boundary layer thickness and the skin friction coefficient increase as non-linear parameter n decreases. This study gives a new dimension to obtain analytical solutions asymptotically for highly nonlinear problems which to the best of our knowledge has not been examined so far.
