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1
Content available Radiative Falkner-Skan flow of Walter-B fluid with prescribed surface heat flux
Hayat T., Qayyum S., Imtiaz M., Alsaedi A.
Journal of Theoretical and Applied Mechanics
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2017
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Vol. 55 nr 1
117--127
EN
This article addresses the Falkner-Skan flow of an incompressible Walter-B fluid. Fluid flow is caused by a stretching wedge with thermal radiation and prescribed surface heat flux. Appropriate transformations are used to obtain the system of nonlinear ordinary differen- tial equations. Convergent series solutions are obtained by the homotopy analysis method. Influence of pertinent parameters on the velocity, temperature and Nusselt number are in- vestigated. It is observed that by increasing the viscoelastic parameter, the fluid velocity decreases. There is an enhancement of the heat transfer rate for the viscoelastic parameter and power law index. It is also found that the Prandtl number and radiation parameter decrease the heat transfer rate.
2
Content available remote Solvability of a Coupled System of Fractional Differential Equations with Nonlocal and Integral Boundary Conditions
Ahmad B., Ntouyas S. K., Alsaedi A., Hobiny A.
Fundamenta Informaticae
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2017
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Vol. 151, nr 1/4
91--108
EN
This paper is concerned with the existence and uniqueness of solutions for a coupled system of fractional differential equations with nonlocal and integral boundary conditions. The existence and uniqueness of solutions is established by Banach’s contraction principle, while the existence of solutions is derived by using Leray-Schauder’s alternative. The results are explained with the aid of examples. The case of nonlocal strip conditions is also discussed.
3
Content available MHD stagnation point flow of micro nanofluid towards a shrinking sheet with convective and zero mass flux conditions
Rauf A., Shehzad S. A., Hayat T., Meraj M. A., Alsaedi A.
Bulletin of the Polish Academy of Sciences. Technical Sciences
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2017
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Vol. 65, nr 2
155--162
EN
In this article the stagnation point flow of electrically conducting micro nanofluid towards a shrinking sheet, considering a chemical reaction of first order is investigated. Involvement of magnetic field occurs in the momentum equation, whereas the energy and concentrations equations incorporated the influence of thermophoresis and Brownian motion. Convective boundary condition on temperature and zero mass flux condition on concentration are implemented. Partial differential equations are converted into the ordinary ones using suitable variables. The numerical technique is utilized to discuss the results for velocity, microrotation, temperature, and concentration fields.
4
Content available Influence of convective heat and mass conditions in MHD flow of nanofluid
Shehzad S. A., Hayat T., Alsaedi A.
Bulletin of the Polish Academy of Sciences. Technical Sciences
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2015
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Vol. 63, nr 2
465--474
EN
This article aims to investigate the two-dimensional magnetohydrodynamic (MHD) boundary layer flow of nanofluid. Convective mass condition is introduced. Analysis has been discussed in the presence of an applied magnetic field. The Brownian motion and thermophoresis effects are incorporated. The arising nonlinear problems are first converted to ordinary differential equations and then series solutions are constructed. Convergence of series solutions is examined through plots and numerical values. Results are plotted and discussed for the temperature and concentration. Numerical computations for skin-friction coefficient, local Nusselt and Sherwood numbers are performed and analyzed. Comparison with the previous limiting case is noted in an excellent agreement.
5
Content available Effects of inclined magnetic field and Joule heating in mixed convective peristaltic transport of non-Newtonian fluids
Abbasi F. M., Hayat T., Alsaedi A.
Bulletin of the Polish Academy of Sciences. Technical Sciences
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2015
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Vol. 63, nr 2
501--514
EN
This article describes the influence of an inclined magnetic field on the mixed convective peristaltic transport of fluid in an inclined channel. Two types of non-Newtonian fluids are considered. The problem formulation is presented for the Eyring-Prandtl and Sutterby fluids. Viscous dissipation and Joule heating in the heat transfer process are retained. The presence of a heat source in the energy equation is ensured. The resulting problems are solved by the perturbation method. The plots for different parameters of interest are given and discussed. Numerical values of a heat transfer rate are given and analyzed.
6
Content available remote Extended method of quasilinearization for a nonlinear three-point boundary value problem
Ahmad B., Alsaedi A., Garout D.
Demonstratio Mathematica
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2006
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Vol. 39, nr 4
803-814
EN
In this paper, we discuss the generalized quasilinearization technique for a second order nonlinear differential equation with nonlinear three-point general boundary conditions. In fact, we obtain sequences of upper and lower solutions converging mono- tonically and quadratically to the unique solution of the nonlinear three-point boundary value problem.
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