Effect of Cattaneo-Christov Heat Flux on Radiative ‎Hydromagnetic Nanofluid Flow between Parallel Plates using ‎Spectral Quasilinearization Method

[1] Alharbey, R.A., Mondal, H., Behl, R., Spectral Quasilinearization Method for Non-Darcy Porous Medium with Convective Boundary Condition, Entropy, 21(9), 2019, 838-850.

[2] Bellman, R.E., Kalaba, R.E., Quasilinearization and nonlinear boundary-value problems, American Elsevier Pub. Co., New York, 1965.

[3] Canuto, C., Hussaini, M.Y., Quarteroni, A., Thomas Jr, A., Spectral methods in fluid dynamics, Springer-Verlag, Heidelberg, 1988.

[4] Chamkha, A.J., On laminar hydromagnetic mixed convection flow in a vertical channel with symmetric and asymmetric wall heating conditions, International Journal of Heat and Mass Transfer, 45(12), 2002, 2509-2525.

[5] Chamkha, A.J., Takhar, H.S., Soundalgekar, V.M., Radiation effects on free convection flow past a semi-infinite vertical plate with mass transfer, Chemical Engineering Journal, 84(3), 2001, 335-342.

[6] Chamkha, A.J., Nath, G., MHD flow over a moving plate in a rotating fluid with magnetic field, Hall currents and free stream velocity, International Journal of Engineering Science, 40(13), 2002, 1511-1527

[7] Daniel, Y.S., Aziz, Z.A., Ismail, Z., Salah, F., Entropy analysis in electrical magnetohydrodynamic (MHD) flow of nanofluid with effects of thermal radiation, viscous dissipation, and chemical reaction, Theoretical and Applied Mechanics Letters, 7(4), 2017, 235-242.

[8] Das, K., Mohammed, U., Radiation effects on an unsteady squeezing flow in the presence of a magnetic field, Moldavian Journal of the Physical Sciences, 15(1-2), 2002, 101-110.

[9] De, P., Mondal, H., Bera, U.K., Heat and Mass Transfer in a Hydromagnetic Nanofluid Past a Non-Linear Stretching Surface with Thermal Radiation, Journal of Nanofluids, 4(2), 2015, 230-238.

[10] Dib, A., Haiahem, A., Bou-Said, B., Approximate analytical solution of squeezing unsteady nanofluid flow, Powder Technology, 269, 2015, 193-199.

[11] Dogonchi, A.S., Divsalar, K., Ganji, D.D., Flow and heat transfer of MHD nanofluid between parallel plates in the presence of thermal radiation, Computer Methods in Applied Mechanics and Engineering, 310, 2016, 58-76.

[12] Dogonchi A.S., Ganji D.D., Investigation of MHD nanofluid flow and heat transfer in a stretching/shrinking convergent/divergent channel considering thermal radiation, Journal of Molecular Liquids, 220, 2016, 592-603.

[13] Dogonchi, A.S., Ganji, D.D., Impact of Cattaneo-Christov heat flux on MHD nanofluid flow and heat transfer between parallel plates considering thermal radiation effect, Journal of the Taiwan Institute of Engineers, 80, 2017, 52-63

[14] Fadhilah, S.A., Hidayah, I., Hilwa, M.Z., Faizah, H.N., Marhamah, R.S., Thermophysical properties of Copper/Water nanofluid for automotive cooling system, Journal of Mechanical Engineering and Technology, 5(2), 2013, 1-10.

[15] Farooq, M., Ahmad, S., Javed, M., Anjum, A., Analysis of Cattaneo-Christov heat and mass fluxes in the squeezed flow embedded in porous medium with variable mass diffusivity, Results in Physics, 7, 2017, 3788-3796.

[16] Gorla, R.S.R., Chamkha, A., Natural Convective Boundary Layer Flow Over a Nonisothermal Vertical Plate Embedded in a Porous Medium Saturated With a Nanofluid, Nanoscale and Microscale Thermophysical Engineering, 15(2), 2011, 81-94.

[17] Haroun, N.A., Mondal, S., Sibanda, P., Unsteady natural convective boundary-layer flow of MHD nanofluid over a stretching surfaces with chemical reaction using the spectral relaxation method: A revised model, Procedia Engineering, 127, 2015, 18-24.

[18] Haroun, N.A., Sibanda, P., Mondal, S., Motsa, S.S., On unsteady MHD mixed convection in a nanofluid due to a stretching/shrinking surface with suction/injection using the spectral relaxation method, Boundary value problems, 2015, 2015, 24.

[19] Hayat, T., Farooq, M., Alsaedi, A., Al-Solamy, F., Impact of Cattaneo-Christov heat flux in the flow over a stretching sheet with variable thickness, AIP Advances, 5(8), 2015, 087159.

[20] Hayat, T., Muhammad, K., Farooq, M., Alsaedi, A., Squeezed flow subject to Cattaneo-Christov heat flux and rotating frame, Journal of Molecular Liquids, 220, 2016, 216-222.

[21] Hayat, T., Khan, M.W.A., Alsaedi, A., Ayub, M., Khan, M.I., Stretched flow of Oldroyd-B fluid with Cattaneo-Christov heat flux, Results in Physics, 7, 2017, 2470-2476.

[22] Khan, N.A., Aziz, S., Ullah, S., Entropy generation on MHD flow of Powell-Eyring fluid between radially stretching rotating disk with diffusion-thermo and thermo-diffusion effects, Acta Mechanica et Automatica, 11(1), 2017, 20-32.

[23] Hussain, S.A., Muhammad, S., Ali1, G., Shah, S.I.A., Ishaq, M., Shah, Z., Khan, H., Tahir, M., Naeem, M., A Bioconvection Model for Squeezing Flow between Parallel Plates Containing Gyrotactic Microorganisms with Impact of Thermal Radiation and Heat Generation/Absorption, Journal of Advances in Mathematics and Computer Science, 27(4), 2018, 1-22

[24] Magodora, M., Mondal, H., Sibanda, P., Dual solutions of a micropolar nanofluid flow with radiative heat mass transfer over stretching/shrinking sheet using spectral quasilinearization method, Multidiscipline Modeling in Materials and Structures, 16(2), 2019, 238-255.

[25] Mahian, O., Kianifar, A., Kleinstreuer, C., Moh’d, A.A.N., Pop, I., Sahin, A.Z., Wongwises, S., A review of entropy generation in nanofluid flow, International Journal of Heat and Mass Transfer, 65, 2013, 514-532.

[26] Goqo, S., Mondal, H., Sibanda, P., Motsa, S.S., A multivariate spectral quasilinearisation method for entropy generation in a square cavity filled with porous medium saturated by nanofluid, Case Studies in Thermal Engineering, 14, 2019, 100415.

[27] Mondal, H., Almakki, M., Sibanda, P., Dual solution for three-dimensional MHD nanofluid flow with entropy generation, Journal of Computational Design and Engineering, 6, 2019, 657–665

[28] Das, S., Mondal, Kundu, H., Sibanda, P., Spectral quasilinearization method for Casson fluid with homogeneous-heterogeneous reaction in presence of nonlinear thermal radiation over an exponential stretching sheet, Multidiscipline Modeling in Materials and Structures, 15(2), 2019, 398-417.

[29] Mondal, H., Sibanda, P., Spectral Quasi-Linearization Method for Entropy Generation Using the Cattaneo–Christov Heat Flux Model, International Journal of Computational Methods, 17(05), 2020, 1940002.

[30] Motsa, S.S., Dlamini, P.G., Khumalo, M., Spectral relaxation method and spectral quasilinearization method for solving unsteady boundary layer flow problems, Advances in Mathematical Physics, 2014, Article ID 341964.

[31] Motsa, S.S., Sibanda, P., Shateyi, S., On a new quasilinearization method for systems of nonlinear boundary value problems, Mathematical Methods in the Applied Sciences, 34(11), 2011, 1406-1413.

[32] Muhammad, T., Alamri, S.Z., Waqas, H., Habib, D., Ellahi, R., Bioconvection flow of magnetized Carreau nanofluid under the influence of slip over a wedge with motile microorganisms, Journal of Thermal Analysis and Calorimetry, 143, 2021, 945–957.

[33] Muhammad, T., Alsaedi, A., Shehzad, S.A., Hayat, T., A revised model for Darcy-Forchheimer flow of Maxwell nanofluid subject to convective boundary condition, Chinese Journal of Physics, 55(3), 2017, 963-976.

[34] Muhammad, T., Alsaedi, A., Hayat, T., AliShehzad, S., A revised model for Darcy-Forchheimer three-dimensional flow of nanofluid subject to convective boundary condition, Results in Physics, 7, 2017, 2791-2797.

[35] Mustafa, M., Hayat, T., Obaidat, S., On heat and mass transfer in the unsteady squeezing flow between parallel plates, Meccanica, 47(7), 2012, 1581-1589.

[36] Oyelakin, I.S., Mondal, S., Sibanda, P., Cattaneo-Christov Nanofluid Flow and Heat Transfer with Variable Properties Over a Vertical Cone in a Porous Medium, International Journal of Applied and Computational Mathematics, 3(1), 2017, 1019-1034.

[37 Pal, D., Mondal, S., Mondal, H., Entropy generation on MHD Jeffrey nanofluid over a stretching sheet with nonlinear thermal radiation using spectral quasilinearisation method, International Journal of Ambient Energy, 2019, https://doi.org/10.1080/01430750.2019.1614984.

[38] Qureshi, M.Z.A., Rubbab, Q., Irshad, S., Ahmad, S., Aqeel, M., Heat and mass transfer analysis of MHD nanofluid flow with radiative heat effects in the presence of spherical Au-metallic nanoparticles, Nanoscale Research Letters, 11(1), 2016, 472.

[39] Rashidi, M.M., Ganesh, N.V., Hakeem, A.A., Ganga, B., Buoyancy effect on MHD flow of nanofluid over a stretching sheet in the presence of thermal radiation, Journal of Molecular Liquids, 198, 2014, 234-238.

[40] Reddy, J.V.R., Sugunamma, V., Sandeep, N., Sulochan, C., Influence of chemical reaction, radiation and rotation on MHD nanofluid flow past a permeable flat plate in porous medium, Journal of the Nigerian Mathematical Society, 35, 2016, 48-65.

[41] Sakiadis, B.C., Boundary layer behavior on continuous solid surfaces: Boundary-layer equations for two-dimensional and axisymmetric flow, AIChE Journal, 7(1), 1961, 26-28.

[42] Shafiq, A., Jabeen, S., Hayat, T., Alsaedi, A., Cattaneo-Christov Heat Flux Model For Squeezed Flow Of Third Grade Fluidm, Surface Review and Letters, 24(07), 2017, 1750098.

 [43] Sithole, H., Mondal, H., Goqo, S., Sibanda, P., Motsa, S., Numerical simulation of couple stress nanofluid flow in magneto-porous medium with thermal radiation and a chemical reaction, Applied Mathematics and Computation, 339, 2018, 820-836.

[44] Sobamowo, G.M., Akinshilo, A.T., Double diffusive magnetohydrodynamic squeezing flow of nanofluid between two parallel disks with slip and temperature jump boundary conditions, Applied and Computational Mechanics, 11(2), 2017, 167-182.

[45] Sridhara, V., Satapathy, L.N., Al₂O₃-based nanofluids: A Review, Nanoscale Research Letters, 6(1), 2011, 456.

[46] Stefan M.J., Versuch Über die scheinbare adhesion, Akademie der Wissenschaften. Math Naturwissenschaftliche, 69, 1874, 713-721.

[47] Takhar, H.S., Chamkha, A.J., Nath, G., Unsteady three-dimensional MHD-boundary-layer flow due to the impulsive motion of a stretching surface, Acta Mechanica, 146, 2001, 59-71.

[48] Trefethen, L.N., Spectral methods in MATLAB, Volume 10, SIAM, 2000.