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Investigation of generalized Fick's and Fourier's laws in the second-grade fluid flow

Applied Mathematics and Mechanics(English Edition) 2018年第11期39卷 1617-1630页

作者： T.HAYAT S.AHMAD M.I.KHAN A.ALSAEDI Department of Mathematics Quaid-i-Azam University Nonlinear Analysis and Applied Mathematics (NAAM) Research Group Department of Mathematics Faculty of Science King Abdulaziz University

The second-grade fluid flow due to a rotating porous stretchable disk is modeled and analyzed. A porous medium is characterized by the Darcy relation. The heat and mass transport are characterized through Cattaneo-Christov double *** thermal and solutal stratifications at the surface are also accounted. The relevant nonlinear ordinary differential systems after using appropriate transformations are solved for the solutions with the homotopy analysis method(HAM). The effects of various involved variables on the temperature, velocity, concentration, skin friction, mass transfer rate, and heat transfer rate are discussed through graphs. From the obtained results,decreasing tendencies for the radial, axial, and tangential velocities are observed. Temperature is a decreasing function of the Reynolds number, thermal relaxation parameter,and Prandtl number. Moreover, the mass diffusivity decreases with the Schmidt number.

关键词： second-grade liquid thermal and solutal stratification Cattaneo-Christov double diffusion rotating stretchable disk

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Chemically reactive and radiative von Kármán swirling flow due to a rotating disk

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Applied Mathematics and Mechanics(English Edition) 2018年第9期39卷 1295-1310页

作者： M.KHAN J.AHMED L.AHMAD Department of Mathematics Quaid-i-Azam UniversityIslamabad 44000Pakistan Department of Basic Sciences University of Engineering and TechnologyTaxila 47050Pakistan Department of Mathematics Shaheed Benazir Bhutto UniversitySheringal Upper Dir 18000Pakistan

A new mathematical model is presented to study the heat and mass transfer characteristics of magnetohydrodynamic(MHD) Maxwell fluid flow over a convectively heated stretchable rotating disk. To regulate the fluid temperature at the surface, a simple isothermal model of homogeneous-heterogeneous reactions is employed. The impact of nonlinear thermal radiative heat flux on thermal transport features is studied. The transformed nonlinear system of ordinary differential equations is solved numerically with an efficient method, namely, the Runge-Kutta-Felberg fourth-order and fifth-order(RKF45)integration scheme using the MAPLE software. Achieved results are validated with previous studies in an excellent way. Major outcomes reveal that the magnetic flux reduces the velocity components in the radial, angular, and axial directions, and enhances the fluid temperature. Also, the presence of radiative heat flux is to raise the temperature of fluid. Further, the strength of homogeneous-heterogeneous reactions is useful to diminish the concentration of reaction.

关键词： rotating stretchable disk magnetic field nonlinear radiative heat flux homogeneous-heterogeneous chemical reaction

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Modeling Chemically Reactive Flow of Sutterby Nanofluid by a rotating disk in Presence of Heat Generation/Absorption

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Communications in Theoretical Physics 2018年第5期69卷 569-576页

作者： T.Hayat Salman Ahmad M.Ijaz Khan A.Alsaedi Department of Mathematics Quaid-I-Azam University Nonlinear Analysis and Applied Mathematics Research Group Department of MathematicsFaculty of ScienceKing Abdulaziz University

In this article we investigate the flow of Sutterby liquid due to rotating stretchable disk. Mass and heat transport are analyzed through Brownian diffusion and thermophoresis. Further the effects of magnetic field, chemical reaction and heat source are also accounted. We employ transformation procedure to obtain a system of nonlinear ODE's. This system is numerically solved by Built-in-Shooting method. Impacts of different involved parameter on velocity, temperature and concentration are described. Velocity, concentration and temperature gradients are numerically computed. Obtained results show that velocity is reduced through material parameter. Temperature and concentration are enhanced with thermophoresis parameter.

关键词： sutterby nanoliquid magnetic field chemical reaction rotating stretchable disk heat generation

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Computational modeling and analysis for the effect of magnetic field on rotating stretched disk flow with heat transfer

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Propulsion and Power Research 2021年第1期10卷 48-57页

作者： Salman Ahmad T.Hayat A.Alsaedi Habib Ullah Faisal Shah Department of Mathematics Quaid-I-Azam University45320Islamabad44000Pakistan Nonlinear Analysis and Applied Mathematics(NAAM)Research Group Department of MathematicsFaculty of ScienceKing Abdulaziz UniversityP.O.Box 80257Jeddah21589Saudi Arabia

Time-dependent viscous fluid flow due to a stretchable rotating disk is *** field is applied in vertical direction to the *** equation is assisted with Joule heating *** system of PDE's is transformed to dimensionless form by suitable *** of the numerical techniques known as finite difference scheme is adopted to tackle the given dimensionless partial differential *** method results in a system of simple algebraic *** unknown function is analyzed inside domain of *** this technique of solution,a system is subdivided into many smaller parts called finite *** obtained simpler algebraic equations are then assembled to form a system of equations which governs the original *** method is used to get approximate solution by reducing the error *** of pertinent variables on surface drag force,temperature,velocity and heat transfer rate are shown *** obtained outcomes guarantee that velocity decreases for Hartmann number while it enhances with Reynolds *** increases for higher Prandtl,Eckert and Hartmann *** friction boosts for larger values of Hartmann *** number enhances with Hartmann number.

关键词： Finite difference scheme Magnetic field System of partial differential equations Joule heating rotating stretchable disk

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