Flow features of thermophoretic MHD viscous fluid flow past a converging channel with heat source and chemical reaction

• Autorzy: Kalita B. K. , Choudhury R.

Identyfikatory

DOI

10.2478/ijame-2021-0036

• Języki publikacji: EN

Abstrakty

EN

A boundary layer flow of an electrically conducting viscous fluid past a converging channel in the presence of thermophoresis, heat source, chemical reaction, viscous dissipation and simultaneous heat and mass transfer characteristics is studied in the paper. An external magnetic field of uniform strength is applied transversely to the channel. The similarity solution has been used to transform the partial differential equations that represent the problem into a boundary value problem of coupled ordinary differential equations, which in turn are solved numerically using MATLAB’s built in solver bvp4c. Numerical computations are carried out to solve the problem and graphical illustrations are made to get the physical insight of the same. The convergent channel flow problem of an incompressible electrically conducting viscous fluid in the presence of a magnetic field has a wide range of applicability in different areas of engineering, specially in industrial metal casting and control of molten metal flow.

Słowa kluczowe

EN

MHD; viscous fluid; heat source; thermophoresis; Nusselt number; skin friction

PL

magnetohydrodynamika; płyn lepki; termoforeza; liczba Nusselta

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mechanics and Engineering
• Rocznik: 2021
• Tom: Vol. 26, no. 3
• Strony: 72--83
• Opis fizyczny: Bibliogr. 28 poz., wykr.

Twórcy

autor

Kalita B. K.

• Department of Mathematics, Gauhati University, Guwahati, INDIA

autor

Choudhury R.

• Department of Mathematics, Gauhati University, Guwahati, INDIA

Bibliografia

• [1] Jeffery G. B. (1915): The two-dimensional steady motion of a viscous fluid.– Philosophical Magazine, vol.6, pp.455-465.
• [2] Hamel G. (1916): Spiralfӧrmige bewgungen zӓher flüssigkeiten.– Jahresber Deutsch Math-Verein, vol.25, pp.34-60.
• [3] Schlichting H. (1955): Boundary Layer Theory.– New York: McGraw-Hill.
• [4] Rosenhead L. (1940): The steady two-dimensional radial flow of viscous fluid between two inclined plane walls.– Proceedings of the Royal Society A, vol.175, pp.436-467.
• [5] Batchelor K. (1967): An Introduction to Fluid Dynamics.– Cambridge University Press.
• [6] Fraenkel L. E. (1962): Laminar flow in symmetrical channels with slightly curved walls, I. On the Jeffery-Hamel solutions for flow between plane walls.– Proceedings of the Royal Society A, vol.267, pp.119-138.
• [7] Makinde O.D. and Mhone P.Y. (2006): Hermite-Pad´e approximation approach to MHD Jeffery-Hamel flows.– Applied Mathematics and Computation, vol.181, No.2, pp.966-972.
• [8] Hamadiche M., Scott J. and Jeandel D. (1994): Temporal stability of Jeffery-Hamel flow.– Journal of Fluid Mechanics, vol.268, pp.71-88.
• [9] McAlpine A. and Drazin P. G. (1998): On the spatio-temporal development of small perturbations of Jeffery-Hamel flows.– Fluid Dynamics Research, vol.22, No.3, pp.123-138.
• [10] Asadullah M., Khan U., Ahmed N. and Manzoor R. (2013): MHD flow of Jeffery in converging and diverging channels.– International Journal of Modern Mathematical Science, vol.6, pp.92-106.
• [11] Hosseini R., Poozesh S. and Dinarvand S. (2012): MHD flow of an incompressible viscous fluid through convergent or divergent channels in presence of a high magnetic field.– Journal of Applied Mathematics, vol.2012, pp.1-12.
• [12] Nijsing R. and Eifler W. (1980): A computational analysis of transient heat transfer in fuel rod bundles with single phase liquid metal cooling.– Nuclear Engineering and Design, vol.62, No.1-3, pp.39-68.
• [13] Bansal L. (1994): Magnetofluiddynamics of Viscous Fluids.– Jaipur: Jaipur Publishing House.
• [14] Moreau R. (1990): Magnetohydrodynamics vol.3 of Fluid Mechanics and its Applications.– Dordrecht, The Netherlands: Kluwer Academic Publishers.
• [15] Abel M.S., Mahesha N. and Tawade J. (2009): Heat transfer in a liquid film over an unsteady stretching surface with viscous dissipation in presence of external magnetic field.– Applied Mathematical Modelling, vol.33, No.8, pp.3430-3441.
• [16] Linga Raju T. and Sreedhar S. (2009): Unsteady two-fluid flow and heat transfer of conducting fluids in channels under transverse magnetic field.– International Journal of Applied Mechanics and Engineering, vol.14, No.4, pp.1093-1114.
• [17] Chandrakala P. (2013): Effects of chemical reaction on MHD flow past an impulsively started infinite vertical plate with uniform heat and mass flux.– International Journal of Applied Mechanics and Engineering, vol.18, No.2, pp.329-339.
• [18] Muthucumaraswamy R. and Geetha E. (2013): Chemical reaction effects on MHD flow past a linearly accelerated vertical plate with variable temperature and mass diffusion in the presence of thermal radiation.– International Journal of Applied Mechanics and Engineering, vol.18, No.3, pp.727- 737.
• [19] Zigta B. (2018): Effects of thermal radiation, chemical reaction and viscous dissipation on MHD flow.– International Journal of Applied Mechanics and Engineering, vol.23, No.3, pp.787-801.
• [20] Fenuga O.J., Aroloye S.J. and Popoola A.O. (2019): Analysis of chemically reactive MHD flow with heat and mass transfer over a permeable surface.– International Journal of Applied Mechanics and Engineering, vol.24, No.1, pp.53-66.
• [21] Vijayalakshmi A.R. and Selvajayanthi M. (2014): Numerical study on flow past an oscillating plate with variable temperature and uniform mass diffusion under chemical reaction.– International Journal of Applied Mechanics and Engineering, vol.19, No.1, pp.181-193.
• [22] Srinivasacharya D. and Jagadeeshwar P. (2019): Effect of viscous dissipation and thermophoresis on the flow over an exponentially stretching sheet.– International Journal of Applied Mechanics and Engineering, vol.24, No.2, pp.425-438.
• [23] Selim A., Hossain M.A. and Rees D.A.S. (2003): The effect of surface mass transfer on mixed convection flow past a heated vertical flat permeable plate with thermophoresis.– International Journal of Thermal Sciences,vol.42, pp.973-982.
• [24] Postelnicu A. (2007): Effects of thermophoresis particle deposition in free convection boundary layer from a horizontal flat plate embedded in a porous medium.– International Journal of Heat and Mass Transfer, vol.50, pp.2981-2985.
• [25] Bakier A.Y. and Gorla R.S.R. (2010): Effects of thermophoresis and radiation on laminar flow along a semi infinite vertical plate.– Heat and Mass Transfer, vol 47, pp.419-425.
• [26] Noor N.F.M., Abbasbandy S. and Hashim I. (2012): Heat and mass transfer of thermophoretic MHD flow over an inclined radiate isothermal permeable surface in the presence of heat source/sink.– International Journal of Heat and Mass Transfer, vol 55,pp.2122-2128.
• [27] Kundu P.K., Das K. and Jana S. (2013): Combined effects of thermophoresis and chemical reaction on magnetohydrodynamics mixed convection flow.– Journal of Thermophysics and Heat Transfer, vol.27, pp.741-747.
• [28] Zueco J., Anwar Bég O., Takhar H.S. and Prasad V.R. (2009): Thermophoretic hydromagnetic dissipative heat and mass transfer with lateral mass flux, heat source, Ohmic heating and thermal conductivity effects: Network simulation numerical study.– Applied Thermal Engineering,vol.29, pp.2808-2815.