THERMAL RADIATION HALL AND ION SLIP EFFECTS ON MHD CONVECTIVE FLOW OF ABSORBING SECOND GRADE FLUID
Keywords:
Hall and ion slip effect, Thermal Radiation, MHD, Second grade fluid, Rotation parameter
Abstract
The thermal radiation, Hall and ion slip impacts on MHD natural convective rotating flow of micro-polar fluid past a semi-infinite vertical moving porous plate under the influence of uniform transverse magnetic field with convective boundary conditions have been investigated. The entire system is assumed to fluctuate in time with invariant frequency, therefore, the solutions of the boundary layer be of the oscillatory style. The non-dimensional governing equations are solved analytically through perturbation method and discussed computationally with references to pertinent parameters. For engineering curiosity, the shear stresses, Nusselt number and Sherwood number are obtained analytically, represented computationally in a tabular format as well as explained with respect to foremost parameters. It is concluded that, the resultant velocity is increased with an increasing in Hall and ion slip parameters throughout fluid region. The thermal and solutal buoyancy forces contribute to the resultant velocity ever-increasing to high. The temperature distribution is trim downs through an increasing in heat source parameter. The concentration is reduced with an increase in the chemical reaction parameter in the entire fluid region. Rotation parameter is to diminish the skin friction, whereas it is augmented through an increase of the Hall and ion slip effects.
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References
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[11] B.V. Swarnalathamma, M. Veera Krishna, Peristaltic hemodynamic flow of couple stress fluid through a porous medium under the influence of magnetic field with slip effect,AIP Conf. Proc. 1728 (2016), https://doi.org/10.1063/1.4946654 020603.
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[16] R. Ellahi, S.U. Rahman, S. Nadeem, K. Vafai, The blood flow of Prandtl fluid through a tapered stenosed arteries in permeable walls with magnetic field, Commun. Theor. Phys. 63 (3) (2015)353–358.
[17] R. Ellahi, E. Shivanian, S. Abbasbandy, T. Hayat, Analysis of some magnetohydro dynamic flows of third order fluid saturating porous space, J. Porous Media 18 (2) (2015) 89–98,https://doi.org/10.1615/JPorMedia.v18.i2.10.
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[19] M. Veera Krishna, B.V. Swarnalathamma, J. Prakash, Heat and mass transfer on unsteady MHD Oscillatory flow of blood through porous arteriole, Appl. Fluid Dyn. Lect. Notes Mech.Eng. XXII (2018) 207–224, https://doi.org/10.1007/978-981-10-5329-0_14.
[20] M. Veera Krishna, Hall and ion slip effects on MHD laminar flow of an elastic-viscous (Walter’s-B) fluid https://doi.org/10.1002/htj.21722, Heat Transfer 49 (4) (2020) 2311–2329.
[21] M. Veera Krishna, K. Jyothi, A.J. Chamkha, Heat and mass transfer on unsteady, magnetohydrodynamic, oscillatory flow of second-grade fluid through a porous medium between two vertical plates, under the influence of fluctuating heat source/sink, and chemical reaction, Int. Jour. of Fluid Mech. Res. 45 (5) (2018) 459–477, https://doi.org/10.1615/InterJFluidMechRes.2018024591.
[22] M.M. Bhatti, M.A. Abbas, M.M. Rashidi, Effect of Hall and ion-slip on peristaltic blood flow of Eyring Powell fluid in a non-uniform porous channel, World J. Model. Simul. 12 (4) (2016) 268–279.
[23] D. Srinivasacharya, Md. Shafeeurrahman, Hall and ion-slip effects on mixed convection flow of nanofluid between two concentric cylinders, J. Assoc. Arab Univ. Basic Appl. Sci. 24 (1)
(2017) 223–231, https://doi.org/10.1016/j.jaubas.2017.03.002.
[24] K.S. Jitendra, C.T. Srinivasa, Unsteady natural convection flow of a rotating fluid past an exponential accelerated vertical plate with Hall current, ion-slip and magnetic effect, Multidiscipline Model. Mater. Struct. 14 (2) (2018) 216–235, https://doi.org/10.1108/MMMS-06-2017-0045.
[25] M. Veera Krishna, A.J. Chamkha, Hall and ion-slip effects on MHD rotating boundary layer flow of nanofluid past an infinite vertical plate embedded in a porous medium, Results Phys. 15 (2019), https://doi.org/10.1016/j.rinp.2019.102652 102652.
[26] I.A. Sara, M.M. Bhatti, The study of non-Newtonian nanofluid with Hall and ion-slip effects on peristaltically induced motion in a non-uniform channel, RSC Adv. 8 (2018) 7904–7915,https://doi.org/10.1039/c7ra13188g.
[27] B.I. Olajuwon, J.I. Oahimire, Unsteady free convection heat and mass transfer in an MHD micro-polar fluid in the presence of thermo diffusion and thermal radiation, Int. J. Pure Appl. Math. 84 (2) (2013) 15–37, https://doi.org/10.12732/ijpam.v84i2.2.
[28] M. Veera Krishna, B.V. Swarnalathamma, A.J. Chamkha, Heat and mass transfer on magnetohydrodynamic chemically reacting flow of micropolar fluid through a porous medium with Hall effects, Special Top. Rev. Porous Media – An Int. J. 9 (4) (2018)
[29] M. Veera Krishna, P.V.S. Anand, A.J. Chamkha, Heat and mass transfer on Free convective flow of a micropolar fluid through a porous surface with inclined magnetic field and Hall effects, Special Top. Rev. Porous Media – An Int. J. 10 (3)(2019) 203–223, https://doi.org/10.1615/SpecialTopicsRevPorousMedia.2018026943.
[30] M. Veera Krishna, N. Ameer Ahamad, A.J. Chamkha, Hall and ion slip effects on unsteady MHD free convective rotating flow through a saturated porous medium over an exponentialaccelerated plate, Alexandria Eng. J. 59 (2020) 565–577,https://doi.org/10.1016/j.aej.2020.01.043.
[31] M. Veera Krishna, C.S. Sravanthi, R.S.R. Gorla, Hall and ion slip effects on MHD rotating flow of ciliary propulsion of microscopic organism through porous media, Int. Commun.Heat Mass Transfer 112 (2020), https://doi.org/10.1016/j.icheatmasstransfer.2020.104500 104500.
[32] M. Veera Krishna, A.J. Chamkha, Hall and ion slip effects on MHD rotating flow of elastico-viscous fluid through porous medium, Int. Commun. Heat Mass Transfer 113 (2020), https://doi.org/10.1016/j.icheatmasstransfer.2020.104494 104494.
[33] M. Veera Krishna, Hall and ion slip effects on MHD free convective rotating flow bounded by the semi-infinite vertical porous surface, Heat Transf. 49 (4) (2020) 1920–1938, https://doi.org/10.1002/htj.21700.
[34] M. Veera Krishna, Hall and ion slip effects on MHD laminar flow of an elastic-viscous (Walter’s-B) fluid, Heat Transf. 49 (4) (2020) 2311–2329, https://doi.org/10.1002/htj.21722.
[35] M. Veera Krishna, A.J. Chamkha, Hall and ion slip effects on Unsteady MHD Convective Rotating flow of Nanofluids -Application in Biomedical Engineering, J. Egypt. Math. Soc. 28(1) (2020) 1–14, https://doi.org/10.1186/s42787-019-0065-2.
[2] R. Choudhury, S.K. Das, Visco-elastic MHD free convective flow through porous media in presence of radiation and chemical reaction with heat and mass transfer, J. Appl. Fluid Mech. 7 (2014) 603–609.
[3] R.K. Deka, U.N. Das, V.M. Soundalgekar, Free convection effects on MHD flow past an infinite vertical oscillating plate with constant heat flux, Ind. J. Math 39 (1997) 195–202.
[4] S.S. Das, R.K. Tripathy, S.K. Sahoo, B.K. Dash, Mass transfer effects on free convective MHD flow of a viscous fluid bounded by an oscillating porous plate in the slip flow regime with heat source, J. Ultra Scientist of Phys. Sci. 20 (2008) 169–176.
[5] T. Hayat, M.R. Mohyuddin, S. Asghar, A.M. Siddiqui, The flow of a visco-elastic fluid on an oscillating plate, Z. Angew.Math. Mech. 84 (2004) 65–70.
[6] S.S. Manna, S. Das, R.N. Jana, Effects of radiation on unsteady MHD free convective flow past an oscillating vertical porous plate embedded in a porous medium with oscillatory heat flux,Adv. Appl. Sci. Res. 3 (2012) 3722–3736.
[7] F. Shen, W. Tan, Y. Zhao, T. Masuoka, The Rayleigh-Stokes problem for a heated generalized second grade fluid with fractional derivative model, Nonlinear Anal. Real World Appl. 7 (2006) 1072–1080.
[8] P. Singh, C.B. Gupta, MHD free convective flow of viscous fluid through a porous medium bounded by an oscillating porous plate in slip flow regime with mass transfer, Ind. J. Theo. Phys.53 (2005) 111–120.
[9] Veera Krishna.M., Subba Reddy.G., Unsteady MHD reactive flow of second grade fluid through porous medium in a rotating parallel plate channel, J. Anal., 27(1), pp. 103-120, 2019. https://doi.org/10.1007/s41478-018-0108-3.
[10] M. Veera Krishna, B.V. Swarnalathamma, Convective heat and mass transfer on MHD peristaltic flow of Williamson fluid with the effect of inclined magnetic field, AIP Conf. Proc. 1728 (2016), https://doi.org/10.1063/1.4946512 020461.
[11] B.V. Swarnalathamma, M. Veera Krishna, Peristaltic hemodynamic flow of couple stress fluid through a porous medium under the influence of magnetic field with slip effect,AIP Conf. Proc. 1728 (2016), https://doi.org/10.1063/1.4946654 020603.
[12] M. Veera Krishna, M. Gangadhar Reddy, MHD free convective rotating flow of Visco-elastic fluid past an infinite vertical oscillating porous plate with chemical reaction, IOP Conf. Series Mater. Sci. Eng. 149 (2016), https://doi.org/10.1088/1757-899X/149/1/012217 012217.
[13] M. Veera Krishna, G. Subba Reddy, Unsteady MHD convective flow of second grade fluid through a porous medium in a rotating parallel plate channel with temperaturedependent source, IOP Conf. Series Mater. Sci. Eng. 149 (2016), https://doi.org/10.1088/1757-899X/149/1/012216 012216.
[14] M. Sheikholeslami, D.D. Ganji, J.M. Younus, R. Ellahi, Effect of thermal radiation on magnetohydrodynamics nanofluid flow and heat transfer by means of two phase model, J. Magn. Magn.Mater. 374 (2015) 36–43, https://doi.org/10.1016/j.jmmm.2014.08.021.
[15] S. Rashidi, M. Dehghan, R. Ellahi, M. Riaz, M.T. Jamal-Abad, Study of stream wise transverse magnetic fluid flow with heat transfer around a porous obstacle, J. Magn. Magn. Mater. 378 (2015) 128–137, https://doi.org/10.1016/j.jmmm.2014.11.020.
[16] R. Ellahi, S.U. Rahman, S. Nadeem, K. Vafai, The blood flow of Prandtl fluid through a tapered stenosed arteries in permeable walls with magnetic field, Commun. Theor. Phys. 63 (3) (2015)353–358.
[17] R. Ellahi, E. Shivanian, S. Abbasbandy, T. Hayat, Analysis of some magnetohydro dynamic flows of third order fluid saturating porous space, J. Porous Media 18 (2) (2015) 89–98,https://doi.org/10.1615/JPorMedia.v18.i2.10.
[18] J.I. Oahimire, B.I. Olajuwon, Effect of Hall current and thermal radiation on heat and mass transfer of a chemically reacting MHD flow of a micro-polar fluid through a porous medium, J.King Saud University Eng. Sci. 26 (2014) 112–121.
[19] M. Veera Krishna, B.V. Swarnalathamma, J. Prakash, Heat and mass transfer on unsteady MHD Oscillatory flow of blood through porous arteriole, Appl. Fluid Dyn. Lect. Notes Mech.Eng. XXII (2018) 207–224, https://doi.org/10.1007/978-981-10-5329-0_14.
[20] M. Veera Krishna, Hall and ion slip effects on MHD laminar flow of an elastic-viscous (Walter’s-B) fluid https://doi.org/10.1002/htj.21722, Heat Transfer 49 (4) (2020) 2311–2329.
[21] M. Veera Krishna, K. Jyothi, A.J. Chamkha, Heat and mass transfer on unsteady, magnetohydrodynamic, oscillatory flow of second-grade fluid through a porous medium between two vertical plates, under the influence of fluctuating heat source/sink, and chemical reaction, Int. Jour. of Fluid Mech. Res. 45 (5) (2018) 459–477, https://doi.org/10.1615/InterJFluidMechRes.2018024591.
[22] M.M. Bhatti, M.A. Abbas, M.M. Rashidi, Effect of Hall and ion-slip on peristaltic blood flow of Eyring Powell fluid in a non-uniform porous channel, World J. Model. Simul. 12 (4) (2016) 268–279.
[23] D. Srinivasacharya, Md. Shafeeurrahman, Hall and ion-slip effects on mixed convection flow of nanofluid between two concentric cylinders, J. Assoc. Arab Univ. Basic Appl. Sci. 24 (1)
(2017) 223–231, https://doi.org/10.1016/j.jaubas.2017.03.002.
[24] K.S. Jitendra, C.T. Srinivasa, Unsteady natural convection flow of a rotating fluid past an exponential accelerated vertical plate with Hall current, ion-slip and magnetic effect, Multidiscipline Model. Mater. Struct. 14 (2) (2018) 216–235, https://doi.org/10.1108/MMMS-06-2017-0045.
[25] M. Veera Krishna, A.J. Chamkha, Hall and ion-slip effects on MHD rotating boundary layer flow of nanofluid past an infinite vertical plate embedded in a porous medium, Results Phys. 15 (2019), https://doi.org/10.1016/j.rinp.2019.102652 102652.
[26] I.A. Sara, M.M. Bhatti, The study of non-Newtonian nanofluid with Hall and ion-slip effects on peristaltically induced motion in a non-uniform channel, RSC Adv. 8 (2018) 7904–7915,https://doi.org/10.1039/c7ra13188g.
[27] B.I. Olajuwon, J.I. Oahimire, Unsteady free convection heat and mass transfer in an MHD micro-polar fluid in the presence of thermo diffusion and thermal radiation, Int. J. Pure Appl. Math. 84 (2) (2013) 15–37, https://doi.org/10.12732/ijpam.v84i2.2.
[28] M. Veera Krishna, B.V. Swarnalathamma, A.J. Chamkha, Heat and mass transfer on magnetohydrodynamic chemically reacting flow of micropolar fluid through a porous medium with Hall effects, Special Top. Rev. Porous Media – An Int. J. 9 (4) (2018)
[29] M. Veera Krishna, P.V.S. Anand, A.J. Chamkha, Heat and mass transfer on Free convective flow of a micropolar fluid through a porous surface with inclined magnetic field and Hall effects, Special Top. Rev. Porous Media – An Int. J. 10 (3)(2019) 203–223, https://doi.org/10.1615/SpecialTopicsRevPorousMedia.2018026943.
[30] M. Veera Krishna, N. Ameer Ahamad, A.J. Chamkha, Hall and ion slip effects on unsteady MHD free convective rotating flow through a saturated porous medium over an exponentialaccelerated plate, Alexandria Eng. J. 59 (2020) 565–577,https://doi.org/10.1016/j.aej.2020.01.043.
[31] M. Veera Krishna, C.S. Sravanthi, R.S.R. Gorla, Hall and ion slip effects on MHD rotating flow of ciliary propulsion of microscopic organism through porous media, Int. Commun.Heat Mass Transfer 112 (2020), https://doi.org/10.1016/j.icheatmasstransfer.2020.104500 104500.
[32] M. Veera Krishna, A.J. Chamkha, Hall and ion slip effects on MHD rotating flow of elastico-viscous fluid through porous medium, Int. Commun. Heat Mass Transfer 113 (2020), https://doi.org/10.1016/j.icheatmasstransfer.2020.104494 104494.
[33] M. Veera Krishna, Hall and ion slip effects on MHD free convective rotating flow bounded by the semi-infinite vertical porous surface, Heat Transf. 49 (4) (2020) 1920–1938, https://doi.org/10.1002/htj.21700.
[34] M. Veera Krishna, Hall and ion slip effects on MHD laminar flow of an elastic-viscous (Walter’s-B) fluid, Heat Transf. 49 (4) (2020) 2311–2329, https://doi.org/10.1002/htj.21722.
[35] M. Veera Krishna, A.J. Chamkha, Hall and ion slip effects on Unsteady MHD Convective Rotating flow of Nanofluids -Application in Biomedical Engineering, J. Egypt. Math. Soc. 28(1) (2020) 1–14, https://doi.org/10.1186/s42787-019-0065-2.
Published
2024-12-09
How to Cite
N. Srinivasa Rao. (2024). THERMAL RADIATION HALL AND ION SLIP EFFECTS ON MHD CONVECTIVE FLOW OF ABSORBING SECOND GRADE FLUID. IJRDO -JOURNAL OF MATHEMATICS, 10(1), 29-38. https://doi.org/10.53555/m.v10i1.6576
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