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1

An oscillatory radiating hydromagnetic internal heat generating fluid flow through a vertcal porous channel with slip and temperature jump

Titiloye E. O., Gbadeyan J. A., Adeosun A. T.

International Journal of Applied Mechanics and Engineering

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2018

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Vol. 23, no. 2

503--519

EN

The present study concerns the natural convective heat generating/absorbing, radiative magnetohydrodynamic, oscillatory fluid flow through a vertical porous channel with slip and temperature jump. The effect of Joule dissipation is taken into consideration while it is assumed that the flow is fully developed. The differential transforms method(DTM) is employed to solve the system of non-linear ordinary differential equations that is obtained from the non-linear partial differential equations governing the flow. Semi analytical solutions of the steady and unsteady part of the flow in the slip flow regime through a vertical porous channel are obtained. The effects of various flow parameters on the velocity and temperature profiles as well as Nusselt and skin friction are presented graphically and discussed. An excellent agreement between the results of this article and those available in the literature validated the presented approach.

2

Effect of induced magnetic field on MHD mixed convection flow in vertical microchannel

Jha B. K., Aina B.

International Journal of Applied Mechanics and Engineering

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2017

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Vol. 22, no. 3

567--582

EN

The present work presents a theoretical investigation of an MHD mixed convection flow in a vertical microchannel formed by two electrically non-conducting infinite vertical parallel plates. The influence of an induced magnetic field arising due to motion of an electrically conducting fluid is taken into consideration. The governing equations of the motion are a set of simultaneous ordinary differential equations and their exact solutions in dimensionless form have been obtained for the velocity field, the induced magnetic field and the temperature field. The expressions for the induced current density and skin friction have also been obtained. The effects of various non-dimensional parameters such as rarefaction, fluid wall interaction, the Hartmann number and the magnetic Prandtl number on the velocity, the induced magnetic field, the temperature, the induced current density, and skin friction have been presented in a graphical form. It is found that the effect of the Hartmann number and magnetic Prandtl number on the induced current density is found to have a decreasing nature at the central region of the microchannel.

3

Second Law Analysis of Flow, Heat and Mass Transfer Past a Nonlinearly Stretching Permeable Wedge with Temperature Jump and Chemical Reaction

Dalir M.

Archive of Mechanical Engineering

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2016

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Vol. LXIII, nr 4

565--587

EN

Second law analysis (entropy generation) for the steady two-dimensional laminar forced convection flow, heat and mass transfer of an incompressible viscous fluid past a nonlinearly stretching porous (permeable) wedge is numerically studied. The effects of viscous dissipation, temperature jump, and first-order chemical reaction on the flow over the wedge are also considered. The governing boundary layer equations for mass, momentum, energy and concentration are transformed using suitable similarity transformations to three nonlinear ordinary differential equations (ODEs). Then, the ODEs are solved by using a Keller’s box algorithm. The effects of various controlling parameters such as wedge angle parameter, velocity ratio parameter, suction/injection parameter, Prandtl number, Eckert number, temperature jump parameter, Schmidt number, and reaction rate parameter on dimensionless velocity, temperature, concentration, entropy generation number, and Bejan number are shown in graphs and analyzed. The results reveal that the entropy generation number increases with the increase of wedge angle parameter, while it decreases with the increase of velocity ratio parameter. Also, in order to validate the obtained numerical results of the present work, comparisons are made with the available results in the literature as special cases, and the results are found to be in a very good agreement.

PL

W pracy przedstawiono analizę numeryczną procesu produkcji entropi oraz transportu ciepła i masy w stacjonarnym, dwuwymiarowym przepływie konwekcyjnym cieczy lekkiej wzdłuż porowatego klina o nieliniowo zmiennym kącie rozwarcia. W analizie rozważono efekty związane z dyssypacją lepkościową, skokiem temperatury reakcjami chemicznymi pierwszego rzędu. Równania różniczkowe opisujące transport masy, pędu, energii i stężeń reagentów w warstwie przyściennej zostały przekształcone za pomoc˛a odpowiednich transformacji do układu trzech równań różniczkowych zwyczajnych. Trzymany układ został rozwiązany numerycznie za pomocą algorytmu typu box zaproponowanego przez Kellera. W pracy zbadano i przedstawiono w formie graficznej wpływ parametrów takich, jak kąt rozwarcia klina, intensywność transpiracji przez ścianę klina, liczby Prandtla, Eckerta i Schmidta, wielkość skoku temperatury i szybkość reakcji chemicznych na pola prędkości, temperatury i stężenia reagentów, produkcję entropii i liczbę Bejana. Otrzymane wyniki pokazują, że współczynnik produkcji entropii rośnie wraz z powiększaniem kąta klina i maleje wraz powiększaniem stosunku prędkości. W celu walidacji otrzymanych rezultatów, porównano je z wynikami innych dostępnych w literaturze badań i stwierdzono bardzo dobrą zgodność.