Influence of Thermophysical Features on MHD Squeezed Flow of ‎Dissipative Casson Fluid with Chemical and Radiative Effects

Document Type : Research Paper

Authors

1 Department of Mathematics, Faculty of physical sciences, University of Ilorin, Ilorin, Nigeria

2 Department of Mathematics, Faculty of physical sciences, University of Ilorin, Ilorin, Nigeria‎

Abstract

Theoretical investigation of variable mass diffusivity, thermal conductivity, and viscosity on unsteady squeezed flow of dissipative Casson fluid is presented. Physically, for any effective heat and mass transfer process, a proper account of thermophysical properties in such a system is required to attain the desired production output. The magnetized free convective flow of unsteady Casson fluid encompassing Joule dissipation, radiation, and chemical reactive influence is induced as a result of squeezing property. The governing model assisting the magnetized flow is formulated and transformed via an appropriate similarity transformation. The resulting set of ordinary differential equations is solved numerically using Chebyshev based Collocation Approach (CCA). However, variable viscosity, thermal conductivity, and mass diffusivity effects are seen to diminish the fluid flow velocities, temperature, and concentration respectively along with the lower plate. Heat and mass transfer coefficient, skin friction downsized to an increasing value of variable thermal and mass diffusivity parameters while variable viscosity pronounces the skin friction coefficient. Furthermore, the present analysis is applicable in polymer processing, such as injection molding, extrusion, thermoforming among others.

Keywords

Main Subjects

[1] Stefan, M.J., Versuch uber die scheinbare adhesion, Sitzungsber Sachs Akad Wiss Wein, Math. Nat. Wiss., 69, 1874, 713-721.
[2] Mustafa, M., Hayat, T., Obaidat, S., On heat and mass transfer in the unsteady squeezing flow between parallel plates, Meccanica, 47, 2012, 1581-1589.
[3] Khan, H., Qayyum, M., Khan, O., Ali, M., Unsteady Squeezing Flow of Casson Fluid with Magnetohydrodynamic Effect and Passing through Porous Medium, Mathematical Problems in Engineering, 2016, Article ID 4293721.
[4] Ahmed, N., Khan, U., Khan, S., Bano, S., Mohyud-Din, S., Effects on magnetic field in squeezing flow of a Casson fluid between parallel plates, Journal of King Saud University-Science, 29, 2017, 119-125.
[5] Qayyum, M., Khan, H., Khan, O., Slip Analysis at Fluid-Solid Interface in MHD Squeezing Flow of Casson Fluid through Porous Medium, Results in Physics, 7, 2017, 732-750.
[6] Naduvinamani, N., Shankar, U., Radiative squeezing flow of unsteady magneto-hydrodynamic Casson fluid between two parallel plates, Journal of Central South University, 26(5), 2019, 1184-1204.
[7] Singh, K., Rawat, S., Kumar, M., Heat and Mass Transfer on Squeezing Unsteady MHD Nanofluid Flow between Parallel Plates with Slip Velocity Effect, Journal of Nanoscience, 2016, Article ID 9708562.
[8] Ghadikolaei, S.S., Hosseinzadeh, K., Ganji, D.D., Analysis of unsteady MHD Eyring-Powell squeezing flow in stretching channel with considering thermal radiation and Joule heating effect using AGM, Case Studies in Thermal Engineering, 10, 2017, 579-594.
[9] Hussain, A., Akbar, S., Sarwar, L., Malik, M. Y., Numerical investigation of squeezing flow of Walter’s-B fluid through parallel plates, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 41, 2019, 477-483.
[10] Ahmad, S., Farooq, M., Javed, M., Anjum, A., Slip analysis of squeezing flow using doubly stratified fluid, Results in Physics, 9, 2018, 527-533.
[11] Ahmad, S., Farooq, M., Anjum A., Mir. N.A., Squeezing flow of convectively heated fluid in porous medium with binary chemical reaction and activation energy, Advances in Mechanical Engineering, 11(10), 2019, 1-12.
[12] Hosseinzadeh, Kh., Alizadeh, M., Ganji, D.D., Hydrothermal analysis on MHD squeezing nanofluid flow in parallel plates by analytical method, International Journal of Mechanical and Materials Engineering, 13(4), 2018, 1-12.
[13] Thumma, T., Magagula, V.M., Transient electromagnetohydrodynamic radiative squeezing flow between two parallel Riga plates using a spectral local linearization approach, Heat Transfer, 49, 2020, 67-85.
[14] Salehi, S., Nori, A., Hosseinzadeh, Kh., Ganji, D.D., Hydrothermal analysis of MHD squeezing mixture fluid suspended by hybrid nanoparticles between two parallel plates, Case Studies in Thermal Engineering, 21, 2020, DOI: 10.1016/j.csite.2020.100650.
[15] Zhao, C., Zhang, W., Van Den Ende, D., Mugele, F., Electroviscous effects on the squeezing flow of thin electrolyte solution films, Journal of Fluid Mechanics, 888, 2020, A29-A36.
[16] Khan, S.I.U., Alzahrani, E., Khan, U., Zeb, N., Zeb, A., On Mixed Convection Squeezing Flow of Nanofluids, Energies, 13, 2020, 3138-3156.
[17] Ahmad, S., Farooq, M., Rizwan, M., Ahmad, B., Rehman, S.U., Melting Phenomenon in a Squeezed Rheology of Reactive Rate Type Fluid, Frontire in Physics, 8, 2020, Article 108.
[18] Qayyum M., Khan O., Abdeljawad T., Imran N., Sohail M., Al-Kouz W., On Behavioral Response of 3D Squeezing Flow of Nanofluids in a Rotating Channel, Complexity, 2020, 1-16, Article ID 8680916.
[19] Korczyk, P. M., Steijn V. V., Blonski S., Zaremba D., Beattie D. A., Garstecki P., Accounting for corner flow unifies the understanding of droplet formation in microfluidic channels, Nature Communications, 10, 2019, 2528.
[20] Al-Saif, A.S.J., Harfash, A.J., Perturbation-Iteration Algorithm for Solving Heat and Mass Transfer in the Unsteady Squeezing Flow between Parallel Plates, Journal of Applied Computational Mechanics, 5(4), 2019, 804-815.
[21] Animasaun, I.L., Effects of thermophoresis, variable viscosity and thermal conductivity on free convective heat and mass transfer of non-darcian MHD dissipative Casson fluid flow with suction and nth order of chemical reaction, Journal of the Nigerian Mathematical Society, 34, 2015, 11-31.
[22] Barcrof, H., Edholm, O.G., The effect of temperature on blood flow and deep temperature in the human forearm, Journal of Physiology, 102, 1943, 5-20.
[23] Khan, W., Gul, T., Idrees, M., Islam, S., Khan, I., Dennis, L.C.C., Thin Film Williamson Nanofluid Flow with Varying Viscosity and Thermal Conductivity on a Time-Dependent Stretching Sheet, Applied Science, 6, 2016, 334-356.
[24] Basha, H.T., Sivaraj, R., Reddy, A.S., Chamkha, A.J., Tilioua, M., Impacts of temperature-dependent viscosity and variable Prandtl number on forced convective Falkner-Skan flow of Williamson nanofluid, SN Applied Sciences, 2, 2020, 477-490.
[25] Waqas, M., Alsaedi, A.S., Shehzad, A., Hayat, T., Asghar, S., Mixed convective stagnation point flow of Carreau fluid with variable properties, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 39, 2017, 3005–3017.
[26] Abdul-Wahab, H., Zeb, H., Bhatti, S., Gulistan, M., Kadry, S., Nam, Y., Numerical Study for the Effects of Temperature Dependent Viscosity Flow of Non-Newtonian Fluid with Double Stratification, Applied Science, 10, 2020, 708-728. 
[27] Omowaye A.J., Animasaun, I.L., Upper-Convected Maxwell fluid flow with variable Thermo-Physical properties over a melting surface situated in hot environment subject to thermal stratification, Journal Applied Fluid Mechanics, 9(4), 2016, 1777-1790.
[28] Mondal, R.K., Reza-E-Rabbi, S., Gharami, P.P., Ahmmed, S.F., Arifuzzaman, S.M., A Simulation of Casson Fluid Flow with Variable Viscosity and Thermal Conductivity Effects, Mathematical Modelling of Engineering Problems, 6(4), 2019, 625-633.
[29] Salahuddin, T., Arshad, M., Siddique, N., Alqahtani, A.S., Malik, M.Y., Thermophyical properties and internal energy change in Casson fluid flow along with activation energy, Ain Shams Engineering Journal, 2020, DOI: 10.1016/j.asej.2020.02.011.
[30] Idowu, A.S., Falodun, B.O., Variable thermal conductivity and viscosity effects on non-Newtonian fluids flow through a vertical porous plate under Soret-Dufour influence, Mathematics and Computers in Simulation, 177, 2020, 358-384.
[31] Gbadeyan, J.A., Titiloye, E. O., Adeosun, A.T., Effect of variable thermal conductivity and viscosity on Casson nanofluid flow with convective heating and velocity slip, Heliyon, 6, 2020, 03076.
[32] Hazarika, G.C., Phukan, B., Ahmed, S., Effect of variable viscosity and thermal conductivity on unsteady free convective flow of a micropolar fluid past a vertical cone, Journal of Engineering Physics and Thermophysics, 93(1), 2020, 184-191.
[33] Lu, D., Mohammad, M., Ramzan, M., Bilal, M., Howari, F., Suleman, M., MHD Boundary Layer Flow of Carreau Fluid over a Convectively Heated Bidirectional Sheet with Non-Fourier Heat Flux and Variable Thermal Conductivity, Symmetry, 11, 2019, 618-631.
[34] Idowu, A.S., Falodun, B.O., Effects of thermophoresis, Soret-Dufour on heat and mass transfer flow of magnetohydrodynamics non-Newtonian nanofluid over an inclined plate, Arab Journal of Basic and Applied Sciences, 27(1), 2020, 149-165.
[35] Idowu, A.S., Akolade, M.T., Abubakar, J.U., Falodun, B.O., MHD free convective heat and mass transfer flow of dissipative Casson fluid with variable viscosity and thermal conductivity effects, Journal of Taibah University for Science, 14(1), 2020, 851-862.
[36] Amirsom, N.A., Uddin, M.J., Md Basir, M.F., Kadir, A., Beg, O.A., Md. Ismail, A.I., Computation of Melting Dissipative Magnetohydrodynamic Nanofluid Bioconvection with Second-order Slip and Variable Thermophysical Properties, Applied Science, 9, 2019, 2493-2511.
[37] Chu Y., Shah F., Khan M.I., Kadry S., Abdelmalek Z., Kha W.A., Cattaneo-Christov double diffusions (CCDD) in entropy optimized magnetized second grade nanofluid with variable thermal conductivity and mass diffusivity, Journal of Materials Research and Technology, 9, 2020, 13977–13987.
[38] Akolade M.T., Idowu A.S., Adeosun A.T., Multislip and Soret–Dufour influence on nonlinear convection flow of MHD dissipative casson fluid over a slendering stretching sheet with generalized heat flux phenomenon, Heat Transfer, 2021, 1–21, https://doi.org/10.1002/htj.22057.
[39] Sajid T., Tanveer S., Sabir Z., Guirao J.L.G., Impact of Activation Energy and Temperature-Dependent Heat Source/Sink on Maxwell–Sutterby Fluid, Mathematical Problems in Engineering, 2020, DOI: 10.1155/2020/5251804.
[40] Amani, M., Amani, P., Kasaeian, A., Mahian, O., Pop, I., Wongwises, S., Modeling and optimization of thermal conductivity and viscosity of MnFe2O4 nanofluid under magnetic field using an ANN, Scientific Reports, 7, 2017, 17369.
[41] Ghalambaz, M., Mehryan, S.A.M., Mozaffari, M., Zadeh, S.M.H., Pour, M.S., Study of thermal and hydrodynamic characteristics of water-nano-encapsulated phase change particles suspension in an annulus of a porous eccentric horizontal cylinder, International Journal of Heat and Mass Transfer,156, 2020, 119792.
[42] Zadeh, S.M.H., Mehryan, S.A.M., Islam, M.S., Ghalambaz, M., Irreversibility analysis of thermally driven flow of a water-based suspension with dispersed nano-sized capsules of phase change material, International Journal of Heat and Mass Transfer 155, 2020, 119796.
[43] Anyakoha, M.W., New School Physics, 3rd Edition, Africana First Publisher Plc, 2010.
[44] Meyers, T.G., Charpin, J.P.F., Tshela, M.S., The flow of a variable viscosity fluid between parallel plates with shear heating, Applied Mathematics Model, 30(9), 2006, 799-815.
[45] Babatin M.M., Numerical treatment for the flow of Casson fluid and heat transfer model over an unsteady stretching surface in the presence of internal heat generation/absorption and thermal radiation, Applications & Applied Mathematics, 13(2), 2018, 854-862.
[46] Javed, T., Mustafa, I., Slip effect on a mixed convection flow of a third-grade fluid near the orthogonal stagnation point on a vertical surface, Journal of Applied Mechanics and Technical Physics, 57(3), 2016, 527-536.
[47] Mallawi, F., Application of a legendre collocation method to the space time variable fractional-order advection dispersion equation, J. Taibah Univ. Sci., 13(1), 2019, 324-330.