Radiation and Mixed Convection Effects on Chemically Reactive Sisko Fluid Flow over a Curved Stretching Surface

Document Type : Research Article

Authors

1 Department of Mathematics, Quaid-i-Azam University, Islamabad 44000, PAKISTAN

2 Department of Mathematics Shaheed Benazir Bhutto University, Sheringal Dir Upper 180000, PAKISTAN

3 NAAM Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, SAUDI ARABIA

Abstract

The main objective of this framework is to establish the modeling and simulation of mixed convection flows along with a curved stretching sheet with Sisko fluid. The impacts of thermal radiation and first-order chemical reaction are also incorporated to illustrate the heat and mass transfer phenomenon. In addition, the convective condition is deliberated to discuss the heat transfer mechanism. The normalized conservation equations emerge as a system of non-linear
two-dimensional coupled Partial Differential Equations (PDEs). Under appropriate transformation, these equations are converted into Ordinary Differential Equations (ODEs). Numerical procedures are examined in this study for various active parameters. A significant declining behavior of the velocity profile is depicted with an increase in mixed convection and buoyancy ratio parameter.
An enhancement conduct in the temperature of the fluid is reported through the growing values of radiation parameter and Biot number. A remarkable decreasing trend is addressed by the higher values of the chemical reaction parameter while plotting the concentration profile of the fluid. Moreover, the resistive forces, heat, and mass transfer rates are discussed in tabular form. A comparison with shooting and RK-45 Fehlberg method is illustrated to show the validity of the present scheme. Thus the present consequences are well correlated with the existing literature.

Keywords

Main Subjects

References

[1] Seddeek M.A., Abdel A.M., Effects Of Radiation And Thermal Diffusivity on Heat Transfer Over a Stretching Surface with Variable Heat Flux, Phys. Lett. A, 348: 172—179 (2006).
[2] Hayat T., Khan M.I., Farooq M., Alsaedi A., Waqas M., Yasmeen T., Impact of Cattaneo-Christov Heat Flux Model In Flow of Variable Thermal Conductivity Fluid  over A Variable Thicked Surface, Int. J. Heat Mass Transf., 99: 702—710 (2016).
[3] Hayat T., Khan M.I., Farooq M., Yasmeen T., Alsaedi A., Stagnation Point Flow with Cattaneo-Christov Heat Flux and Homogeneous-Heterogeneous Reactions, J. Mol. Liq., 220: 49--55 (2016).
[4] Hayat T., Khan M.I., Waqas M., Alsaedi A., Farooq M., Numerical Simulation for Melting Heat Transfer and Radiation Effects In Stagnation Point Flow of Carbon-- Water Nanofluid, Comput. Meth. Appl. Mech. Eng., 315: 1011-1024 (2017).
[5] Yasmeen T., Hayat T., Khan M.I., Imtiaz M., Alsaedi A., Ferrofluid Flow by a Stretched Surface in the Presence of Magnetic Dipole and Homogeneous-Heterogeneous Reactions, J. Mol. Liq., 223: 1000-1005 (2016).
[6] Krishnamurthy M.R., Gireesha B.J., Prasannakumara B.C., Gorla R.S.R., Thermal Radiation and Chemical Reaction Effects on Boundary Layer Slip Flow and Melting Heat Transfer Of Nanofluid Induced
by a Nonlinear Stretching Sheet, Nonlinear Eng., 5(3): 147-159 (2016).
[7] Motsumi T.G., Makinde O.D., Effects of Thermal Radiation and Viscous Dissipation on Boundary Layer Flow of Nanofluids over a Permeable Moving Flat Plate, Physica Scripta, 86: 1-11 (2012).
[8] Hayat T., Ullah I., Muhammad T., Alsaedi A., Radiative Three-Dimensional Flow with Soret and Dufour Effects, Int. J. Mech. Sci., 133: 829-837 (2017).
[9] Hassan A.R., Maritz R.., Gbadeyan J.A., A Reactive Hydromagnetic Heat Generating Fluid Flow with Thermal Radiation Within Porous Channel with Symmetrical Convective Cooling, Int. J. Therm. Sci., 122: 248-256 (2017).
[10] Sparrow E.M., Combined Forced and Free Convection in a Boundary Layer Flow, Phys. Fluids, 2: 319(1959).
[11] Zhou X., Huai X., Numerical Investigation of Thermocapillary Convection in a Liquid Layer with Free Surface, Microgravity Sci. Tech., 25: 335-341 (2014).
[12] Lyubimova T., Beysens D., Gandikota G., Amiroudine S., Vibration Effect on A Thermal Front Propagation in a Square Cavity Filled with Incompressible Fluid, Microgravity Sci. Tech., 26: 51-56 (2014).
[13] Munro T.R., Ban H., Flow and Heat Flux Behavior of Micro-Bubble Jet Flows Observed in Thin, Twisted-Wire, Subcooled Boiling in Microgravity, Microgravity Sci. Tech., 27: 49-60 (2015).
[14] Chen Jie-C., Zhang L., You-Rong Yu Jia-J., Three-Dimensional Numerical Simulation of Pure Solutocapillary Flow in a Shallow Annular Pool For Mixture Fluid with High Schmidt Number, Microgravity Sci. Tech., 28(1): 49-57 (2016).
[15] Lei Y., Chen Z., Shi J., Analysis of Condensation Heat Transfer Performance in Curved Triangle Microchannels Based on the Volume of Fluid Method, Microgravity Sci. Tech., 29: 433-443 (2017).
[16] Merkin J.H., Pop I., Mixed Convection Along a Vertical Surface: Similarity Solutions for Uniform Flow, Fluid Dyn. Res., 30(4): 233-250 (2002).
[17] Nadeem S., Saleem S., Mixed Convection Flow of Eyring--Powell Fluid Along a Rotating Cone, Results Phys., 4: 54-62 (2014).
[18] Noor N.F.M., Haq R.U., Nadeem S., Mixed Convection Stagnation Flow of a Micropolar Nanofluid Along a Vertically Stretching Surface with Slip Effects, Meccanica, 50(8): 2007-2022 (2015).
[19] Haq R.U., Hamouch Z., Hussain S.T., Mekkaoui T., MHD Mixed Convection Flow Along a Vertically Heated Sheet, Int. J. Hydrogen Energy, 42(24): 15925-15932 (2017).
[20] Turkyilmazoglu M., Mixed Convection Flow of Magnetohydrodynamic Micropolar Fluid Due to
a Porous Heated/Cooled Deformable Plate: Exact Solutions, Int. J. Heat Mass Transf., 106: 127-134 (2017).
[21] Turkyilmazoglu M., Analytical Solutions to Mixed Convection MHD Fluid Flow Induced by a Nonlinearly Deforming Permeable Surface, Commun. Nonlinear Sci. Numer. Simul., 63: 373-379 (2018).
[22] Hayat T., Shah F., Khan .I., Alsaedi A., Yasmeen T., Modeling MHD Stagnation Point Flow of Thixotropic Fluid with Non-Uniform Heat Absorption/Generation, Microgravity Sci. Tech., 29: 459-465 (2017).
[23] Crane L.J., Flow Past a Stretching Plate, J. Appl. Math. Phys., (ZAMP) 21: 645-647 (1970).
[24] Khan Y., Abdou M.A., Faraz N., Nildirim A., Wu Q., Numerical Solution of MHD Flow over a Nonlinear Porous Stretching Sheet, Iran. J. Chem. Chem. Eng. (IJCCE), 31(3): 125-132 (2012).
[25] Turkyilmazoglu M., Equivalences and Correspondences Between the Deforming Body Induced Flow and Heat in Two-Three Dimensions, Phys. Fluids, 28: 043102 (2016).
[26] Sajid M., Ali N., Javed T., Abbas Z., Stretching a Curved Surface in a Viscous Fluid, Chinese Phys. Lett., 27: 024703 (2010).
[27] Abbas Z., Naveed M., Sajid M., Heat Transfer Analysis for Stretching Flow over a Curved Surface with Magnetic Field, J. Eng. Thermophys., 22: 337-345 (2013).
[28] Rosca N.C., Pop I., Unsteady Boundary Layer Flow over a Permeable Curved Stretching/Shrinking Surface, Europ. J. Mech. - B/Fluids, 51: 61-67 (2015).
[29] Sanni K.M., Asghar S., Jalil M., Okechi N.F., Flow of Viscous Fluid Along a Nonlinearly Stretching Curved Surface, Results Phys., 7: 1-4(2017).
[30] Labropulu F., Li D., Pop I., Non-Orthogonal Stagnation-Point Flow Towards A Stretching Surface in a Non-Newtonian Fluid With Heat Transfer, Int. J. Thermal Sci., 49(6): 1042-1050 (2010).
[31] Nadeem S., Akram S., Akbar N., Simulation of Heat and Chemical Reactions on Peristaltic Flow of a Williamson Fluid in an Inclined Asymmetric Channel, Iran. J. Chem. Chem. Eng. (IJCCE), 32(2): 93-107 (2013).
[32] Hayat T., Ali S., Awais M., Alhuthali M.S., Newtonian Heating In Stagnation Point Flow of Burgers Fluid, Appl. Math. Mech. -Engl. Ed., 36(1): 61-68 (2015).
[33] Hayat T., Ali S., Asif M.F., Alsaedi A., On Comparison of Series And Numerical Solutions for Flow of Eyring-Powell Fluid with Newtonian Heating and Internal Heat Generation/Absorption, PLOS ONE, 10: 1-13 (2015).
[34] Hayat T., Ali S., Alsaedi A., Alsulami H.H., Influence of Thermal Radiation and Joule Heating in the Eyring-Powell Fluid Flow with the Soret and Dufour Effects, J. Appl. Mech. Tech. Phys., 57(6): 1051-1060 (2016).
[35] Madhu M., Kishan N., Finite Element Analysis of Heat and Mass Transfer by MHD Mixed Convection Stagnation-Point Flow of a Non-Newtonian Power-Law Nanofluid Towards a Stretching Surface with Radiation, J. Egyptian Math. Soci., 24(3): 458-470 (2016).
[36] Akram S., Nadeem S., Influence Of Nanoparticles Phenomena on The Peristaltic Flow of Pseudoplastic Fluid in an Inclined Asymmetric Channel with Different Wave Forms, Iran. J. Chem. Chem. Eng. (IJCCE), 36(2): 107-124 (2017).
[37] Farooq A., Ali R., Benim A.C., Soret and Dufour Effects on Three Dimensional Oldroyd-B Fluid, Physica A, 503: 345-354 (2018).
[38] Malik R., Khan M., Munir A., Khan W.A., Flow and Heat Transfer in Sisko Fluid with Convective Boundary Condition, PLOS ONE, 9(10): E107989 (2014).
[39] Khan M., Ahmad L., Alshomrani A.A., Alzahrani A.K., Alghamdi M.S., A 3D Sisko Fluid Flow with Cattaneo-Christov Heat Flux Model and Heterogeneous-Homogeneous Reactions: a Numerical Study, J. Mol. Liq., 238: 19-26 (2017).
[40] Khan M., Ahmad L., Khan W.A., Numerically Framing The Impact of Radiation on Magnetonanoparticles for 3D Sisko Fluid Fow,
J. Braz. Soc. Mech. Sci. Eng., 39: 4475-4487 (2017).
[41] Ahmad L., Khan M., Khan W.A., Numerical Investigation of Magneto-Nanoparticles for Unsteady 3D Generalized Newtonian Liquid Flow, Europ. Phys. J. Plus, 9(132): 373 (2017).
[42] Malik R., Khan M., Numerical Study of Homogeneous-Heterogeneous Reactions in Sisko Fluid Flow Past a/ Stretching Cylinder, Results Phys., 8: 64-70 (2018).
[43] Ahmad L., Khan M., Numerical Simulation for MHD Flow of Sisko Nanofluid over a Moving Curved Surface: a Revised Model, Microsystem Tech., (2018):
        https://Doi.Org/10.1007/S00542-018-4128-3.
[44] Rosseland S., “Astrophysik und Atom-Theoretische Grundlagen”, Springer-Verlag, Berlin, 41-44 (1931).
Iranian Journal of Chemistry and Chemical Engineering
Volume 39, Issue 4 - Serial Number 102
July and August 2020
Pages 339-354

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