Effects of Non-uniform Suction, Heat Generation/Absorption and Chemical Reaction with Activation Energy on MHD Falkner-Skan Flow of Tangent Hyperbolic Nanofluid over a Stretching/Shrinking Eedge

Document Type: Research Paper

Authors

1 Department of Mathematics, Govt. Autonomous College, Rourkela, Odisha, India

2 Department of Physics, Radhakrishna Institute of Technology and Engineering, Bhubaneswar-752057, Odisha, India

3 Department of Mathematics, Centurion University of Technology and Management, Paralakhemundi, Gajapati-761211, Odisha, India

Abstract

In the present investigation, the magnetohydrodynamic Falkner-Skan flow of tangent hyperbolic nanofluids over a stretching/shrinking wedge with variable suction, internal heat generation/absorption and chemical reaction with activation energy have been scrutinized. Nanofluid model is composed of “Brownian motion’’ and “Thermophoresis’’. Transformed non-dimensional coupled non-linear equations are solved by adopting the fourth-order R-K method along with the shooting technique. A comprehensive analysis of nanofluid velocity, the relative temperature, and its concentration profiles has been addressed. The major outcomes of the current study include that augmentation in the Weissenberg parameter, Hartmann number along with suction impede fluid flow and the shrinkage of the related boundary layer while internal heating develops an ascending thermal boundary layer for static and moving (stretching/shrinking) wedge. An increment in reaction rate undermines the nanoparticle concentration while that of activation energy exhibits a reverse trend.

Keywords

Main Subjects

[1] Choi S.U.S., Enhancing thermal conductivity of fluids with nanoparticles, ASME Fluids Eng. Division, 231, 1995, 99-105.

[2] Buongiorno, J., Convective transport in nanofluids, J. Heat Transf., 128(3), 2006, 240–250.

[3] Oztop H.F., Nada E.A., Numerical study of natural convection in partially heated rectangular enclosures filled with nanofluids, Int. J. Heat Fluid Flow, 29(5), 2008, 1326–1336.

[4] Khan W., Pop I., Boundary-layer flow of a nanofluid past a stretching sheet, Int. J. Heat Mass Transf., 53, 2010, 2477–2483.

[5] Makinde O.D., Aziz A., Boundary layer flow of a nanofluid past a stretching sheet with a convective boundary condition, Int. J. Therm. Sci., 50, 2012, 1326–1332.

[6] Khan Hashim M., A revised model to analyze the heat and mass transfer mechanisms in the flow of Carreau nanofluids, Int. J. Heat Mass Transf., 103, 2016, 291–297.

[7] Sheikholeslami M., Vajravelu K., Rashidi M.M., Forced convection heat transfer in a semi annulus under the influence of a variable magnetic field, Int. J. Heat Mass Transf., 92, 2016, 339–348.

[8] Dogonchi A.S., Divsalar K., Ganji D.D., Flow and heat transfer of MHD nanofluid between parallel plates in the presence of thermal radiation, Comp. Math. Appl. Mech. Eng., 310, 2016, 58–76.

[9] Nayak M.K., Akbar N.S., Pandey V.S., Khan Z.H., Tripathi D., 3D free convective MHD flow of nanofluid over permeable linear stretching sheet with thermal radiation, Powd. Technol., 315, 2017, 205-215.

[10] Nayak M.K., Chemical reaction effect on MHD viscoelastic fluid over a stretching sheet through porous medium, Meccanica, 51, 2016, 1699-1711.

[11] Aman S., Khan I., Ismail Z., Salleh M.Z., Al-Mdallal Q. M., Heat transfer enhancement in free convection flow of CNTs Maxwell nanofluids with four different types of molecular liquids, Scientific Reports, 7(1), 2017, 2445-2455.

[12] Nayak M.K., Akbar N.S., Pandey V.S., Khan Z.H., Tripathi D., MHD 3D free convective flow of nanofluid over an exponentially stretching sheet with chemical reaction, Adv. Powder Technol., 28(9), 2017, 2159-2166.

[13] Nayak M.K., Shaw S., Chamkha A.J., MHD free convective stretched flow of a radiative nanofluid inspired by variable magnetic field, Arab. J. Sci. Eng., 44(2), 2019, 1269-1282.

[14] Besthapu P., Haq R.U., Bandari S., Al-Mdallal Q.M., Thermal radiation and slip effects on MHD stagnation point flow of non-Newtonian nanofluid over a convective stretching surface, Neural Compt. Appl., 31(1), 2019, 207-217.

[15] Khan Z.H., Qasim M., Haq R. U., Al-Mdalla Q.M., Closed-form dual nature solutions of fluid flow and heat transfer over a stretching/shrinking sheet in a porous medium, Chinese J. Physics, 55(4), 2017, 1284-1293.

[16] Nayak M.K., MHD 3D flow and heat transfer analysis of nanofluid by shrinking surface inspired by thermal radiation and viscous dissipation, Int. J. Mech. Sci., 125, 2017, 185-193.

[17] Nayak M.K., Mehmood R., Makinde O.D., Mahian O., Chamkha A.J., Magnetohydrodynamic flow and heat transfer impact on ZnO-SAE50 nano lubricant flow due to an inclined rotating disk, J Central South University, 26, 2019, 1146-1160.

[18] Schlichting H., Gersten K., Boundary layer theory, 8th ed. Springer-Verlag, Berlin, 2000.

[19] Leal L.G., Advanced transport phenomena: Fluid mechanics and convective transport processes, Cambridge Univ. Press, New York, 2007.

[20] Falkner V.M., Skan S.W., Some approximate solutions of the boundary-layer equations, Philos. Mag., 12, 1931, 865–896.

[21] Allan, Q.M., Al Mdallal, Q.M., Series solutions of the modified Falkner-Skan equation, Int. J. Open Probl. Compt. Math., 4(2), 2011, 189-198.

[22] Watanabe T., Thermal boundary layers over a wedge with uniform suction or injection in forced flow, Acta Mech., 83(3), 1990, 119–126.

[23] Ishak A., Nazar R., Pop I., MHD boundary-layer flow past a moving wedge, Magnetohydrodynamics, 1, 2009, 103–110.

[24] Ganesh N.V., Al-Mdallal Q.M., Kameswaran P.K., Numerical study of MHD effective Prandtl number boundary layer flow of γ Al2O3 nanofluids past a melting surface, Case Studies Thermal Eng., 13, 2019, 100413.

[25] Akbar N.S., Nadeem S., Haq R.U., Khan Z.H., Numerical solutions of Magneto-hydrodynamic boundary layer flow of tangent hyperbolic fluid towards a stretching sheet, Indian J. Phys., 87, 2013, 1121–1124.

[26] Prabhakar B., Bandari S., Haq R.U., Impact of inclined Lorentz forces on tangent hyperbolic nanofluid flow with zero normal flux of nanoparticles at the stretching sheet, Neural Comput. Appl., DOI 10.1007/s00521-016-2601-4.

[27] Su X., Zheng L., Approximate solutions to MHD Falkner-Skan flow over permeable wall, Appl. Math. Mech., 32(4), 2011, 401–408.

[28] Ganesh N.V., Ganga B., Abdul Hakeem A.K., Saranya S., Kalaivanan V.R., Hydromagnetic axis-symmetric slip flow along a vertical stretching cylinder with convective boundary condition, St. Petersburg Polyt. University J: Phys. and Math., 2, 2016, 273–280.

[29] Khan M., Azam M., Alshomrani A.S., On unsteady heat and mass transfer in Carreau nanofluid flow over expanding or contracting cylinder with convective surface conditions, J. Mol. Liq., 231, 2017, 474-484.

[30] Ganga B., Ansari S.M.Y., Ganesh N.V., Hakeem A.K.A., MHD flow of Boungiorno model nanofluid over a vertical plate with internal heat generation/absorption, Propul. Power Research, 5(3), 2016, 211-222.

[31] Mabood F., Shateye S., Rashidi M.M., Momoniat E., Freidoonimehr N., MHD stagnation point flow heat and mass transfer of nanofluids in porous medium with radiation, viscous dissipation, and chemical reaction, Adv. Powder Technol., 27, 2016, 742-749.

[32] Khan M., Azam M., Munir A., On unsteady Falkner-Skan flow of MHD Carreau nanofluid past a static/moving wedge with convective surface condition, J. Mol. Liq., 230, 2017, 48-58.

[33] Ariel P.D., Hiemenz flow in hydromagnetics, Acta Mech., 103, 1994, 31–43.

[34] Srinivasacharya D., Mendu U., Venumadhav K., MHD boundary layer flow of a nanofluid past a Wedge, Procedia Eng., 127, 2015, 1064–1070.

[35] Sadri R., Ahmadi G., Togun H., Dahari M., Kazi S.N., Sadeghinezhad E., Zubir N., An experimental study on thermal conductivity and viscosity of nanofluids containing carbon nanotubes. Nano. Res. Lett., 9(1), 2014, 151.