2019 Volume 9 Issue 6
Article Contents

K. Kaladhar, K. Madhusudhan Reddy, D. Srinivasacharya. INCLINED MAGNETIC FIELD AND SORET EFFECTS ON MIXED CONVECTION FLOW BETWEEN VERTICAL PARALLEL PLATES[J]. Journal of Applied Analysis & Computation, 2019, 9(6): 2111-2123. doi: 10.11948/20180146
Citation: K. Kaladhar, K. Madhusudhan Reddy, D. Srinivasacharya. INCLINED MAGNETIC FIELD AND SORET EFFECTS ON MIXED CONVECTION FLOW BETWEEN VERTICAL PARALLEL PLATES[J]. Journal of Applied Analysis & Computation, 2019, 9(6): 2111-2123. doi: 10.11948/20180146

INCLINED MAGNETIC FIELD AND SORET EFFECTS ON MIXED CONVECTION FLOW BETWEEN VERTICAL PARALLEL PLATES

  • Corresponding author: Email address:kkr.nitpy@gmail.com(K. Kaladhar) 
  • Fund Project: This work was supported by of Council of Scientific and Industrial Research (CSIR), New Delhi, India (Project No: 25 (0269)/17 /EMR-II)
  • This present paper investigates the influence of thermal diffusion and inclined magnetic field effects on mixed convection flow through a channel. Spectral Quasilinearization Method (SQLM) is used to solve the dimensionless governing equations, those were obtained by using sutable transformations from the system of governing partial differential equations. The influence of the variation of different parameters like magnetic parameter, Hall parameter, Soret parameter and the intensity of angle of inclination on velocities, temperature and concentration are investigated and presented through plots. According to acquired results, under the influence of magnetic field (in an inclined direction) the velocity profiles were amplified and the temperature profile got diminished, where as there is a reverse tendency under the effect of Hall parameter. Finally the nature of the physical parameters were displayed in table form.
    MSC: 76E06, 80A32, 76D05, 80A20
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  • [1] I. L. Animasaun, O. K. Koriko, K. S. Adegbie, H. A. Babatunde, R. O. Ibraheem, N. Sandeep and B. Mahanthesh, Comparative analysis between 36 nm and 47 nm alumina–water nanofluid flows in the presence of Hall effect, Journal of Thermal Analysis and Calorimetry, 2019, 135(2), 873-886. doi: 10.1007/s10973-018-7379-4

    CrossRef Google Scholar

    [2] W. Aung and G. Worku, Theory of fully developed, combined convection including flow reversal, Journal of Heat tranfer, 1986, 10, 485-488.

    Google Scholar

    [3] A. Aziz and W. A. Khan, Natural convective boundary layer flow of a nanofluid past a convectively heated vertical plate, International Journal of Thermal Sciences, 2012, 52, 83-90. doi: 10.1016/j.ijthermalsci.2011.10.001

    CrossRef Google Scholar

    [4] Y. Azizi, B. Benhamou, N. Galanis and Md. El-Ganaoui, Buoyancy effects on upward and downward laminar mixed convection heat and mass transfer in a vertical channel, International Journal of Numerical Methods for Heat and Fluid Flow, 2007, 17(3), 333-353. doi: 10.1108/09615530710730193

    CrossRef Google Scholar

    [5] M. Barzegar Gerdroodbary, M. Rahimi Takami and D. D. Ganji, Investigation of thermal radiation on traditional Jeffery-Hamel flow to stretchable convergent/divergent channels, Case Studies in Thermal Engineering, 2015, 6, 28-39. doi: 10.1016/j.csite.2015.04.002

    CrossRef Google Scholar

    [6] R. Bellman, H. Kagiwada and R. Kalaba, Quasilinearization, system identification and prediction, International Journal of Engineering Science, 1965, 3(3), 327-334. doi: 10.1016/0020-7225(65)90054-6

    CrossRef Google Scholar

    [7] H. Celik, M. Mobedi, O. Manca and B. Buonomo, Enhancement of heat transfer in partially heated vertical channel under mixed convection by using $Al_2^- O_3^-$ nanoparticles, Heat Transfer Engineering, 2018, 39(3), 229-240. doi: 10.1080/01457632.2017.1295738

    CrossRef $Al_2^- O_3^-$ nanoparticles" target="_blank">Google Scholar

    [8] C. H. Cheng, H. S. Kou and W. H. Huang, Flow reversal and heat transfer of fully developed mixed convection in vertical channels, J. of Thermophysics, 1990, 3, 375-383.

    Google Scholar

    [9] M. B. Gerdroodbary, M. Sheikholeslami, S. Valiallah Mousavi, A. Anazadehsayed and R. Moradi, The influence of non-uniform magnetic field on heat transfer intensification of ferrofluid inside a T-junction, Chemical Engineering and Processing - Process Intensification, 2018, 123, 58-66. doi: 10.1016/j.cep.2017.10.021

    CrossRef Google Scholar

    [10] S. P. Goqo, S. Mondal, P. Sibanda and S. S. Motsa, Efficient Multi-Domain Bivariate Spectral Collocation Solution for MHD Laminar Natural Convection Flow from a Vertical Permeable Flat Plate with Uniform Surface Temperature and Thermal Radiation, International Journal of Computational Methods, 2018, 1840029.

    Google Scholar

    [11] V. G. Gupta, Ajay Jain and Abhay Kumar Jha, The effect of variable thermal conductivity and the inclined magnetic field on MHD plane poiseuille flow past nonuniform plate temperature, Global Journal of Science Frontier Research, 2015, 15(10), 2249-4626.

    Google Scholar

    [12] S. Hariri, M. Mokhtari, M. B. Gerdroodbary and Keivan Fallah, Numerical investigation of the heat transfer of a ferrofluid inside a tube in the presence of a non-uniform magnetic field, Eur. Phys. J. Plus, 2017, 132, 65(1-14).

    Google Scholar

    [13] T. Hayat, S. Asghar, A. Tanveer and A. Alsaedi, Outcome of slip features on the peristaltic flow of a Prandtl nanofluid with inclined magnetic field and chemical reaction, The European Physical Journal Plus, 2017a, 132(5), 217 (1-16).

    Google Scholar

    [14] T. Hayat, F. M. Abbasi and A. Alsaedi, Low-speed peristaltic transport in a vertical channel subject to the Soret and Dufour effects, Journal of Applied Mechanics and Technical Physics, 2017b, 58(1), 63-70. doi: 10.1134/S0021894417010072

    CrossRef Google Scholar

    [15] T. Hayat, N. Aslam, M. I. Khan, M. I. Khan and A. Alsaedi, Physical significance of heat generation/absorption and Soret effects on peristalsis flow of pseudoplastic fluid in an inclined channel, Journal of Molecular Liquids, 2019, 275, 599-615. doi: 10.1016/j.molliq.2018.11.055

    CrossRef Google Scholar

    [16] T. Hayat, H. Zahir, A. Tanveer and A. Alsaedi, Soret and Dufour effects on MHD peristaltic flow of Prandtl fluid in a rotating channel, Results in Physics, 2018, 8, 1291-1300. doi: 10.1016/j.rinp.2018.01.058

    CrossRef Google Scholar

    [17] M. Hossain and J. Floryan, Mixed convection in a periodically heated channel, Journal of Fluid Mechanics, 2015, 768, 51-90. doi: 10.1017/jfm.2015.48

    CrossRef Google Scholar

    [18] K. Kaladhar and E. Komuraiah, Influence of cross diffusions on mixed convection chemical reaction flow in a vertical channel with Navier slip: Homotopy approach, Journal of Applied Analysis and Computation, 2018, 8(1), 379-389.

    Google Scholar

    [19] K. Kaladhar, K. Madhusudhan Reddy and D. Srinivasacharya, Inclined magnetic field, thermal radiation and Hall current effects on Mixed convection flow between vertical parallel plates, ASME. J. Heat Transfer, 2019; doi:10.1115/1.4044391.

    CrossRef Google Scholar

    [20] R. Krivec and V. B. Mandelzweig, Numerical investigation of quasilinearization method in quantum mechanics, Computer Physics Communications, 2001, 138(1), 69-79. doi: 10.1016/S0010-4655(01)00191-6

    CrossRef Google Scholar

    [21] V. B. Mandelzweig and F. Tabakin, Quasilinearization approach to nonlinear problems in physics with application to nonlinear ODEs, Computer Physics Communications, 2001, 141(2), 268-281. doi: 10.1016/S0010-4655(01)00415-5

    CrossRef Google Scholar

    [22] V. B. Mandelzweig, Quasilinearization method: nonperturbative approach to physical problems, Physics of Atomic Nuclei, 2005, 68(7), 1227-1258. doi: 10.1134/1.1992578

    CrossRef Google Scholar

    [23] M. Mokhtari, M. Barzegar Gerdroodbary, R. Yeganeh and K. Fallah, Numerical study of mixed convection heat transfer of various fin arrangements in a horizontal channel, Engineering Science and Technology, an International Journal, 2017, 20(3), 1106-1114. doi: 10.1016/j.jestch.2016.12.007

    CrossRef Google Scholar

    [24] M. Mokhtari, S. Hariri, M. B. Gerdroodbary and R. Yeganeh, Effect of non-uniform magnetic field on heat transfer of swirling ferrofluid flow inside tube with twisted tapes, Chemical Engineering and Processing: Process Intensification, 2017, 117, 70-79. doi: 10.1016/j.cep.2017.03.018

    CrossRef Google Scholar

    [25] S. S. Motsa and P. Sibanda, Some modifications of the quasilinearization method with higher-order convergence for solving nonlinear BVPs, Numerical Algorithms, 2013, 63(3), 399-417. doi: 10.1007/s11075-012-9629-z

    CrossRef Google Scholar

    [26] S. S. Motsa, P. Sibanda and S. Shateyi, On a new quasilinearization method for systems of nonlinear boundary value problems, Mathematical Methods in the Applied Sciences, 2011, 34(11), 1406-1413. doi: 10.1002/mma.1449

    CrossRef Google Scholar

    [27] S. Nadeem and S. Akram, Influence of inclined magnetic field on peristaltic flow of a Williamson fluid model in an inclined symmetric or asymmetric channel, Mathematical and Computer Modelling, 2009, 52(1), 107-119.

    Google Scholar

    [28] R. Nandkeolyar and M. Das, MHD free convective radiative flow past a flat plate with ramped temperature in the presence of an inclined magnetic field, Computational and Applied Mathematics, 2015, 34(1), 109-123. doi: 10.1007/s40314-013-0107-6

    CrossRef Google Scholar

    [29] J. R. Pattnaik, G. C. Dash and S. Singh, Diffusion-thermo effect with Hall current on unsteady hydromagnetic flow past an infinite vertical porous plate, Alexandria Engineering Journal. 2017, 56(1), 13-25. doi: 10.1016/j.aej.2016.08.027

    CrossRef Google Scholar

    [30] M. Sheikholeslami, M. Barzegar Gerdroodbary, R. Moradi, Ahmad Shafee and Zhixiong Li, Application of Neural Network for estimation of heat transfer treatment of $Al_2 O_3-H_2 O$ nanofluid through a channel, Computer Methods in Applied Mechanics and Engineering, 2019, 344, 1-12. doi: 10.1016/j.cma.2018.09.025

    CrossRef $Al_2 O_3-H_2 O$ nanofluid through a channel" target="_blank">Google Scholar

    [31] M. Sheikholeslami, M. B. Gerdroodbary, R. Moradi, Ahmad Shafee and Zhixiong Li, Numerical mesoscopic method for transportation of $H_2O$-based nanofluid through a porous channel considering Lorentz forces, International Journal of Modern Physics, 2019, 30(02-03), 1950007.

    $H_2O$-based nanofluid through a porous channel considering Lorentz forces" target="_blank">Google Scholar

    [32] D. Srinivasacharya and K. Himabindu, Effect of slip and convective boundary conditions on entropy generation in a porous channel due to micropolar fluid flow, International Journal of Nonlinear Sciences and Numerical Simulation, 2019, 19(1), 11-24.

    Google Scholar

    [33] D. Srinivasacharya and K. Kaladhar, Soret and dufour effects in a mixed convection couple stress fluid with heat and mass fluxes, Latin American applied research, 2011, 41(4), 353-358.

    Google Scholar

    [34] S. Srinivas and M. Kothandapani, The influence of heat and mass transfer on MHD peristaltic flow through a porous space with compliant walls, Applied Mathematics and Computation, 2009, 213(1), 197-208. doi: 10.1016/j.amc.2009.02.054

    CrossRef Google Scholar

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