Journal of Applied and Computational Mechanics
Efficacy of a Modulated Viscosity-dependent Temperature/nanoparticles Concentration Parameter on a Nonlinear Radiative Electromagneto-nanofluid Flow along an Elongated Stretching Sheet
Document Type : Research Paper
Authors
1 National Engineering Laboratory for Modern Silk, College of Textile and Clothing Engineering, Soochow University, Suzhou, China
2 School of Mathematics and Information Science, Henan Polytechnic University, Jiaozuo, China
3 School of Science, Xi'an University of Architecture and Technology, China
4 Department of Mathematics, Faculty of Education, Ain Shams University, El-Makrizy St, Roxy, Heliopolis: 11566, Cairo, Egypt
5 Department of Basic Science, Cairo Higher Institute for Engineering, Computer Science and Management, New Cairo, Cairo, Egypt
Abstract
The purpose of the present communication is to investigate the flow of a radiative electromagnetic-Casson nanofluid past a stretching sheet under the impacts of a chemical reaction and nonlinear thermal radiation. To enrich the blood flow, a modulated viscosity/thermal conductivity dependent temperature/nanoparticles concentration parameter is included in the governing equations. The system of PDEs is transformed to ODEs by invoking similarity transformations and then solved numerically by the well- known fourth-order Runge-Kutta integration scheme based on shooting approach. The main factors affecting the Casson fluid’s temperature profiles are revealed.
Keywords
- Stretching sheet
- Electromagnetic Casson nanofluid
- Nonlinear radiation
- Variable viscosity/thermal conductivity
- Shooting technique
Main Subjects
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[1] Al-Khaled, K., Khan, S.U., Thermal aspects of casson nanoliquid with gyrotactic microorganisms, temperature-dependent viscosity, and variable thermal conductivity: Bio-technology and thermal applications, Inventions, 5(3), 2020, 1–14.
[2] 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(1), 2020, e03076.
[3] Fung, Y., Biodynamics: Circulation, Springer-Verlag, New York, 1984.
[4] Nakamura, M., Sawada, T., Numerical study on the flow of a non-Newtonian fluid through an axisymmetric stenosis, Journal of Biomechanical Engineering, 110(2), 1988, 137-143.
[5] Haemmerich, D., Wright, A.W., Mahvi, D.M., Lee, F.T., Webster, J.G., Hepatic bipolar radiofrequency ablation creates coagulation zones close to blood vessels: a finite element study, Medical & Biological Engineering & Computing, 41(3), 2003, 317–323.
[6] Casson, N., A flow equation for pigment-oil suspensions of the printing ink type, In: Mill, C.C., Ed., Rheology of Disperse Systems, Pergamon Press, Oxford, 1959.
[7] Gireesha, B.J., Kumar, P.B.S., Mahanthesh, B.S., Shehzad, A., Rauf, A., Nonlinear 3D flow of Casson-Carreau fluids with homogeneous – heterogeneous reactions : A comparative study, Results in Physics, 7, 2017, 2762–2770.
[8] Walawender, W.P., Chen, T.Y., Cala, D.F., An approximate Casson fluid model for tube flow of blood, Biorheology, 12(2), 1975, 111–119.
[9] Srivastava, L.M., Srivastava, V.P., Peristaltic transport of blood: Casson model-II, Journal of Biomechanics, 17(11), 1984, 821–829.
[10] Dash, R.K., Mehta, K.N., Jayaraman, G., Casson fluid flow in a pipe filled with a homogeneous porous medium, International Journal of Engineering Science, 34(10), 199, 1145–1156.
[11] Eldabe, N.T.M., Saddeck, G., El-Sayed, A.F., Heat transfer of MHD non-Newtonian Casson fluid flow between two rotating cylinders, Mechanics and Mechanical Engineering, 5(2), 2001, 237–251.
[12] Mernone, A.V., Mazumdar, J.N., Lucas, S.K., A mathematical study of peristaltic transport of a Casson fluid, Mathematical and Computer Modelling, 35(7-8), 2002, 895–912.
[13] Mustafa, M., Hayat, T., Pop, I., Aziz, A., Unsteady boundary layer flow of a Casson fluid due to an impulsively started moving flat plate, Heat Transfer Research, 40(6), 2011, 563–576.
[14] Shehzad, S.A., Hayat, T., Qasim, M., Asghar, S., Effects of mass transfer on MHD flow of Casson fluid with chemical reaction and suction, Brazilian Journal of Chemical Engineering, 30, 2013, 187–195.
[15] Hayat, T., Asad, S., Alsaedi, A., Flow of Casson fluid with nanoparticles, Applied Mathematics and Mechanics, 37(4), 2001, 459–470.
[16] Ghadikolaei, S.S., Hosseinzadeh, K., Ganji, D.D., Jafari, B., Nonlinear thermal radiation effect on magneto Casson nanofluid flow with Joule heating effect over an inclined porous stretching sheet, Case Studies in Thermal Engineering, 12, 2018, 176–187.
[17] Aman, S., Zokri, S.M., Ismail, Z., Salleh, M.Z., Khan, I., Effect of MHD and porosity on exact solutions and flow of a hybrid casson-nanofluid, Journal of Advanced Research in Fluid Mechanics and Thermal Sciences, 44(1), 2018, 131–139.
[18] Siddiqa, S., Begum, N., Hossain, M.A., Shoaib, M., Reddy Gorla, R.S., Radiative heat transfer analysis of non-Newtonian dusty Casson fluid flow along a complex wavy surface, Numer. Heat Transf. Part A Appl., 73 (4), 2018, 209–221.
[19] Elgazery, N.S., Flow of non-Newtonian magneto-fluid with gold and alumina nanoparticles through a non-Darcian porous medium, Journal of the Egyptian Mathematical Society, 27(1), 2019, 1–25.
[20] Hady, F.M., Mahdy, A., Mohamed, R.A., Ahmed, S.E., Abo-zaid, O.A., Unsteady natural convection flow of a dusty non-Newtonian Casson fluid along a vertical wavy plate: numerical approach, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 41(11), 2019, 1–20.
[21] Akolade, M.T., Tijani, Y.O., A comparative study of three dimensional flow of Casson–Williamson nanofluids past a riga plate : Spectral quasi-linearization approach, Partial Differential Equations in Applied Mathematics, 4, 2021, 100108.
[22] Elelamy, A.F., Elgazery, N.S., Ellahi, R., Blood flow of MHD non-Newtonian nanofluid with heat transfer and slip effects: Application of bacterial growth in heart valve, International Journal of Numerical Methods for Heat & Fluid Flow, 30(11), 2020, 4883–4908.
[23] Usman, M., Gul, T., A., Khan, Alsubie, A., Zaka, M., Electromagnetic couple stress film flow of hybrid nanofluid over an unsteady rotating disc, International Communications in Heat and Mass Transfer, 127, 2021, 105562.
[24] Varun Kumar, R.S., Gunderi Dhananjaya, P., Naveen Kumar, R.R., Punith Gowda, J., Prasannakumara, B.C., Modeling and theoretical investigation on Casson nanofluid flow over a curved stretching surface with the influence of magnetic field and chemical reaction, International Journal for Computational Methods in Engineering Science and Mechanics, 23(1), 2022, 12–19.
[25] Venkata Ramudu, A.C., Anantha Kumar, K., Sugunamma, V., Sandeep, N., Impact of Soret and Dufour on MHD Casson fluid flow past a stretching surface with convective–diffusive conditions, Journal of Thermal Analysis and Calorimetry, 147(3), 2022, 2653–2663.
[26] Elgazery, N.S., Hassan, M.A., The effects of variable fluid properties and magnetic field on the flow of non-Newtonian fluid film on an unsteady stretching sheet through a porous medium, Communications in Numerical Methods in Engineering, 24(12), 2008, 2113-2129.
[27] Elgazery, N.S., El-Sayed, M.F., Effects of magneto-Marangoni convection with variable properties on non-Newtonian biviscosity fluid over stretching sheet in porous medium, Journal of Porous Media, 17(10), 2014, 901-912.
[28] Elgazery, N.S., Numerical simulation for biviscosity fluid flow through a porous medium under the effects of variable properties, Special Topics and Reviews in Porous Media, 3(1), 2012, 1–11.
[29] 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(1), 2015, 11–31.
[30] El-Aziz, M.A., Afify, A.A., Effects of Variable Thermal Conductivity with Thermal Radiation on MHD Flow and Heat Transfer of Casson Liquid Film Over an Unsteady Stretching Surface, Brazilian Journal of Physics, 46(5), 2001, 516–525.
[31] Nawaz, M., Naz, R., Awais, M., Magnetohydrodynamic axisymmetric flow of Casson fluid with variable thermal conductivity and free stream, Alexandria Engineering Journal, 57(3), 2018, 2043–2050.
[32] Sohail, M., Shah, Z., Tassaddiq, A., Kumam, P., Roy, P., Entropy generation in MHD Casson fluid flow with variable heat conductance and thermal conductivity over non-linear bi-directional stretching surface, Scientific Reports, 10(1), 2020, 1–16.
[33] Bisht, A., Sharma, R., Non-similar solution of Casson nanofluid with variable viscosity and variable thermal conductivity, International Journal of Numerical Methods for Heat & Fluid Flow, 22(7), 2020, 3919–3938.
[34] Elgazery, N.S., Elelamy, A.F., Multiple solutions for non-Newtonian nanofluid flow over a stretching sheet with nonlinear thermal radiation: Application in transdermal drug delivery, Pramana, 94(1), 2020, 8-94.
[35] Kumar, K., Chauhan, P.R., Kumar, R., Bharj, R.S., Irreversibility analysis in Al2O3-water nanofluid flow with variable property, Facta Universitatis, Series: Mechanical Engineering, 20(3), 2022, 503–518.
[36] Feijó, B.C., Pavlovic, A., Rocha, L.A.O., Isoldi, L.A., Lorente, S., dos Santos, E.D., Geometrical investigation of microchannel with two trapezoidal blocks subjected to laminar convective flows with and without boiling, Reports in Mechanical Engineering, 3(1), 2022, 20–36.
[37] Aliy, G., Kishan, N., Effect of Electric Field on MHD Flow and Heat Transfer Characteristics of Williamson Nanofluid over a Heated Surface with Variable Thickness, OHAM Solution, 30(1), 2019, 1–23.
[38] Bhargava, R., Chandra, H., Numerical simulation of MHD boundary layer flow and heat transfer over a nonlinear stretching sheet in the porous medium with viscous dissipation using hybrid approach, arXiv:1711.03579 [physics.flu-dyn].
[39] Ahmed, S.E., Mansour, M.A., Mahdy, A. Mohamed, S.S., Entropy generation due to double diffusive convective flow of Casson fluids over nonlinearity stretching sheets with slip conditions, Engineering Science and Technology, an International Journal, 20, 2017, 1553–1562.
[40] Crane, L.J., Flow past a stretching plate, Zeitschrift für Angewandte Mathematik und Physik, 21(4), 1970, 645–647.
[41] Elgazery, N.S., Nanofluids flow over a permeable unsteady stretching surface with non-uniform heat source/sink in the presence of inclined magnetic field, Journal of the Egyptian Mathematical Society, 27(1), 2019, 1–26.
[42] Afify, A.A., Elgazery, N.S., Lie group analysis for the effects of chemical reaction on MHD stagnation-point flow of heat and mass transfer towards a heated porous stretching sheet with suction or injection, Nonlinear Analysis: Modelling and Control, 17(1), 2012, 1–15.
[43] Qian, M.Y., He, J.H., Two-scale thermal science for modern life: Making the Impossible Possible, Thermal Science, 26(3), 2022, 2409-2412.
[44] He, J.H., Seeing with a single scale is always unbelieving: From magic to two-scale fractal, Thermal Science, 25(2), 2021, 1217-1219
[45] Liu, F.J., Zhang, T., He, C.H., Tian, D., Thermal oscillation arising in a heat shock of a porous hierarchy and its application, Facta Universitatis Series Mechanical Engineering, 20(3), 2022, 633-645.
[46] Xue, R.J., Liu, F.J., A Fractional model and its application to heat prevention coating with cocoon-like hierarchy, Thermal Science, 26(3), 2022, 2493-2498.
[47] He, C.H., A variational principle for a fractal nano/microelectromechanical (N/MEMS) system, International Journal of Numerical Methods for Heat & Fluid Flow, 2022, DOI: 10.1108/HFF-03-2022-0191.
[48] Wang, K.L., Novel analytical approach to modified fractal gas dynamics model with the variable coefficients, ZAMM Zeitschrift fur Angewandte Mathematik und Mechanik, 2023, DOI: 10.1002/zamm.202100391.
[49] Wang, K.L., Wei, C.F., Fractal soliton solutions for the fractal-fractional shallow water wave equation arising in ocean engineering, Alexandria Engineering Journal, 65, 2023, 859-865.
[50] Li, Z.Y., Wang, M.C., Wang, Y.L., Solving a class of variable order nonlinear fractional integral differential equations by using reproducing kernel function, AIMS Mathematics, 7(7), 2022, 12935-12951
[51] Li, Z.Y., Chen, Q.T., Wang, Y.L., Li, X.Y., Solving two-sided fractional super-diffusive partial differential equations with variable coefficients in a class of new reproducing kernel spaces, Fractal and Fractional, 6(9), 2022, 492.
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