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Arabian Journal for Science and Engineering

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06-01-2021 | Research Article-Mechanical Engineering

Impact of Nonlinear Rosseland Approximation on Flow of Newtonian Fluid with Unequal Diffusivities of Chemically Reactive Species

Authors: M. Sheikh, Z. Abbas, J. Hasnain, A. Nadeem, M. Sajid

Published in: Arabian Journal for Science and Engineering | Issue 3/2021

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Abstract

This investigation studies the flow of a Newtonian fluid close to stagnation point past a stretching/shrinking plate embedded in a porous media. Heat transfer analysis with nonlinear thermal radiation (TR) is also carried out. Homogeneous-heterogeneous reactions with unequal diffusivities of reactants take place in the fluid. The controlling partial differential equations (DEs) of the existing model are reduced to dimensionless ordinary DEs through similarity transformations. These subsequent equations are numerically tackled with the guide of the shooting procedure. The velocity, temperature and concentration’s behaviour has been inspected for specific estimations of the including parameters. The viscous fluid (VF) temperature increases with nonlinear TR. The change in the concentration profile due to the diffusion coefficient rate \( \delta \) is more prominent in the concentration of specie D compared to specie C. Heterogeneous reaction parameter intensity is very helpful in reducing the concentration of bulk fluid \( \phi_{1}(\eta) \) as well as increasing the surface catalyst concentration \( \phi_{2}(\eta) \)

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Crane, L.J.: Flow past a stretching plate. Zeitschrift Für Angewandte Mathematik und Physik ZAMP 21, 645–647 (1970). https://doi.org/10.1007/BF01587695CrossRef

Parhi, S.; Nath, G.: Stability of viscous flow over a stretching sheet. Acta Technic CSAV Ceskoslovensk Akad Ved 34, 389–409 (1989)MATH

Kumaran, V.; Kumar, A.V.; Pop, I.: Transition of boundary layer flow past a stretching sheet due to a step change in applied constant mass flux. Acta Mech. 216, 139–145 (2011). https://doi.org/10.1007/s00707-010-0340-7CrossRefMATH

Yirga, Y.; Tesfay, D.: Magnetohydrodynamic flow of viscous fluid over a non-linearly stretching sheet. Open Access Libr. J. 01, 1–11 (2014). https://doi.org/10.4236/oalib.1101030CrossRef

Hassan, H.S.: Symmetry analysis for MHD viscous flow and heat transfer over a stretching sheet. Appl. Math. 06, 78–94 (2015). https://doi.org/10.4236/am.2015.61009CrossRef

Sheikh, M.; Abbas, Z.: Effects of thermophoresis and heat generation/absorption on MHD flow due to an oscillatory stretching sheet with chemically reactive species. J. Magn. Magn. Mater. 396, 204–213 (2015). https://doi.org/10.1016/j.jmmm.2015.08.011CrossRef

Singh, J.; Mahabaleshwar, U.S.; Bognár, G.: Mass transpiration in nonlinear MHD flow due to porous stretching sheet. Sci. Rep. 9, 1–15 (2019). https://doi.org/10.1038/s41598-019-52597-5CrossRef

Polu, B.A.R.; Reddy, S.S.R.: Impact of thermal radiation and viscous dissipation on hydromagnetic unsteady flow over an exponentially inclined preamble stretching sheet. J. Comput. Appl. Res. Mech. Eng. (2019). https://doi.org/10.22061/jcarme.2019.3709.1433CrossRef

Wang, C.Y.: Stagnation flow towards a shrinking sheet. Int. J. Non-Linear Mech. 43, 377–382 (2008). https://doi.org/10.1016/j.ijnonlinmec.2007.12.021CrossRef

10.

Lok, Y.Y.; Ishak, A.; Pop, I.: MHD stagnation-point flow towards a shrinking sheet. Int. J. Numer. Methods Heat Fluid Flow 21, 61–72 (2011). https://doi.org/10.1108/09615531111095076CrossRef

11.

Rosali, H.; Ishak, A.: Stagnation-point flow over a stretching/shrinking sheet in a porous medium. AIP Conf. Proc. 1571, 949–955 (2013). https://doi.org/10.1063/1.4858776CrossRef

12.

Yasin, M.H.M.; Ishak, A.; Pop, I.: MHD stagnation-point flow and heat transfer with effects of viscous dissipation, joule heating and partial velocity slip. Sci. Rep. 5, 1–8 (2015). https://doi.org/10.1038/srep17848CrossRef

13.

Nasir, N.A.A.M.; Ishak, A.; Pop, I.; Zainuddin, N.: MHD stagnation point flow towards a quadratically stretching/shrinking surface. J. Phys: Conf. Ser. (2019). https://doi.org/10.1088/1742-6596/1366/1/012013CrossRef

14.

Alarifi, I.M.; Abokhalil, A.G.; Osman, M.; Lund, L.A.; Ayed, M.B.; Belmabrouk, H.; Iskander, T.: MHD flow and heat transfer over vertical stretching sheet with heat sink or source effect. Sym. Basel (2019). https://doi.org/10.3390/sym11030297CrossRefMATH

15.

Magyari, E.; Pantokratoras, A.: Note on the effect of thermal radiation in the linearized Rosseland approximation on the heat transfer characteristics of various boundary layer flows. Int. Commun. Heat Mass Trans. 38, 554–556 (2011). https://doi.org/10.1016/j.icheatmasstransfer.2011.03.006CrossRef

16.

Pantokratoras, A.: Natural convection along a vertical isothermal plate with linear and non-linear Rosseland thermal radiation. Int. J. Thermal Sci. 84, 151–157 (2014). https://doi.org/10.1016/j.ijthermalsci.2014.05.015CrossRef

17.

Laxmi, T.V.; Shankar, B.: Effect of nonlinear thermal radiation on boundary layer flow of viscous fluid over nonlinear stretching sheet with injection/suction. J. Appl. Math. Phys. 04, 307–319 (2016). https://doi.org/10.4236/jamp.2016.42038CrossRef

18.

Waqas, H.; Khan, S.U.; Bhatti, M.M.; Imran, M.: Significance of bioconvection in chemical reactive flow of magnetized Carreau–Yasuda nanofluid with thermal radiation and second-order slip. J. Thermal Anal. Calor. 140(3), 1293–1306 (2020)CrossRef

19.

Riaz, A.; Ellahi, R.; Bhatti, M.M.; Marin, M.: Study of heat and mass transfer in the Eyring-Powell model of fluid propagating peristaltically through a rectangular compliant channel. Heat Transf. Res. 50(16), 1539–1560 (2019)CrossRef

20.

Hashim,; Sardar, H.; Khan, M.: Mixed convection flow and heat transfer mechanism for non-Newtonian Carreau nanofluids under the effect of infinite shear rate viscosity. Phys. Scr. 95, 035225 (2020). https://doi.org/10.1088/1402-4896/AB41E9CrossRef

21.

Pattnaik, P.K.; Mishra, S.; Bhatti, M.M.: Duan-Rach approach to study ethylene glycol C2H6O2 nanofluid flow based upon model. Inventions 5(3), 1–23 (2020)CrossRef

22.

Zhang, L.; Arain, M.B.; Bhatti, M.M.; Zeeshan, A.; Hal-Sulami, H.: Effects of magnetic Reynolds number on swimming of gyrotactic microorganisms between rotating circular plates filled with nanofluids. Appl. Math. Mech. 41(4), 637–654 (2020)CrossRef

23.

Chaudhary, M.A.; Merkin, J.H.: A simple isothermal model for homogeneous-heterogeneous reactions in boundary-layer flow. I Equal diffusivities. Fluid Dyn. Res. 16, 311–333 (1995). https://doi.org/10.1016/0169-5983(95)00015-6MathSciNetCrossRefMATH

24.

Chaudhary, M.A.; Merkin, J.H.: stretchingshrinking sheet with uniform suction and slip effects. Fluid Dyn. Res. 16, 335–359 (1995). https://doi.org/10.1016/0169-5983(95)90813-HCrossRef

25.

Animasaun, I. L.; Raju, C. S. K.; Sandeep, N.; Unequal diffusivities case of homogeneous–heterogeneous reactions within viscoelastic fluid flow in the presence of induced magnetic-field and nonlinear thermal radiation. Alexandria Eng. J. 55, 1595–1606 (2016)

26.

Sheikh, M.; Abbas, Z.: Homogeneous–heterogeneous reactions in stagnation point flow of Casson fluid due to a stretching/shrinking sheet with uniform suction and slip effects. Ain Shams Eng. J. (2017). https://doi.org/10.1016/j.asej.2015.09.010CrossRef

27.

Alghamdi, M.: On magnetohydrodynamic flow of viscoelastic nanofluids with homo-geneous -heterogeneous reactions. Coatings (2020). https://doi.org/10.3390/coatings10010055CrossRef

28.

Das, R.: Estimation of Radius Ratio in a Fin Using Inverse CFD Model. CFD Lett. 3(1), 40–47 (2011)

29.

Das, R.: A simplex search method for a conductive–convective fin with variable conductivity. Int. J. Heat Mass Transf. 54, 5001–5009 (2011)CrossRef

30.

Das, R.: A simulated annealing-based inverse computational fluid dynamics model for unknown parameter estimation in fluid flow problem. Int. J. Comput. Fluid Dyn. 26, 499–513 (2012). https://doi.org/10.1080/10618562.2011.632375MathSciNetCrossRef

31.

Das, R.: Inverse analysis of Navier-Stokes equations using simplex search method. Inverse Probl. Sci. Eng. 20(4), 445–462 (2012). https://doi.org/10.1080/17415977.2011.629046MathSciNetCrossRefMATH

32.

Das, R.: Three-Parameter estimation study in a radial fin geometry using FDM based simplex method. Heat Transf. Eng. 35, 1309–1319 (2014). https://doi.org/10.1080/01457632.2013.876866CrossRef

33.

Das, R.: Estimation of parameters in a fin with temperature-dependent thermal conductivity and radiation. Proc. IMech. E Part E J. Process Mech. Eng. 230(6), 474–485 (2016)CrossRef

34.

Rashad, A.; El-Hakiem, M.: Effect of radiation on non-darcy free convection from a vertical cylinder embedded in a fluid-saturated porous medium with a temperature-dependent viscosity. J. Porous Media 10(2), 209–218 (2007)CrossRef

35.

Rashad, A.; EL-Kabeir, S.: Heat and mass transfer in transient flow by mixed convection boundary layer over a stretching sheet embedded in a porous medium with chemically reactive species. J. Porous Media 13, 75–85 (2010)CrossRef

36.

El-Kabeir, S.; Chamkha, A.; Rashad, A.: Heat and mass transfer by MHD stagnation-point flow of a power-law fluid towards a stretching surface with radiation, chemical reaction and soret and dufour effects. Int. J. Chem. React. Eng. 8, 1–18 (2010)

37.

Rashad, A.; Chamkha, A.; El-Kabeir, S.: Effect of chemical reaction on heat and mass transfer by mixed convection flow about a solid sphere in a saturated porous media. Int. J. Numer. Methods Heat Fluid Flow 21(4), 418–433 (2011)CrossRef

38.

Rashad, A.; Chamkha, A.; El-Kabeir, S.: Effects of radiation and chemical reaction on heat and mass transfer by natural convection in a micropolar fluid saturated porous medium with streamwise temperature and species concentration variations. Heat Transf. Res. 45(8), 795–815 (2014)CrossRef

39.

Chamkha, A.; Kabeir, S.M.M.; Rashad, A.: Unsteady coupled heat and mass transfer by mixed convection flow of a micropolar fluid near the stagnation point on a vertical surface in the presence of radiation and chemical reaction. Progress Comput. Fluid Dyn. 15(3), 186–196 (2015)MathSciNetCrossRef

40.

El-Kabeir, S.M.M.; Modather, M.; Rashad, A.: Heat and mass transfer by unsteady natural convection over a moving vertical plate embedded in a saturated porous medium with chemical reaction, soret and dufour effects. J. Appl. Fluid Mech. 8(3), 453–463 (2015)CrossRef

41.

Nabwey, H.A.; Kabeir, S.M.M.; Rashad, A.: Lie group analysis of effects of radiation and chemical reaction on heat and mass transfer by unsteady slip flow from a non-isothermal stretching sheet immersed in a porous medium. J. Comput. Theor. Nanosci. 12(11), 4056–4062 (2015)CrossRef

42.

Subbarayudu, K.; Suneetha, S.; Bala, A.R.; Rashad, A.M.: Framing the activation energy and binary chemical reaction on cnt’s with cattaneo-christov heat diffusion on maxwell nanofluid in the presence of nonlinear thermal radiation. Arabian J. Sci. Eng. 44, 10313–10325 (2019)CrossRef

43.

Reddy, S.R.R.; Bala, A.R.P.; Rashad, A.M.: Activation energy impact on chemically reacting eyring-powell nanofluid flow over a stretching cylinder. Arab. J. Sci. Eng. 45(7), 5227–5242 (2020)CrossRef

44.

Souayeh, B.; Reddy, M.G.; Sreenivasulu, P.; Poornima, T.; Rahimi-Gorji, M.; Alari, I.M.: Comparative analysis on non-linear radiative heat transfer on MHD Casson nano fluid past a thin needle. J. Mol. Liquids 284, 163–174 (2019). https://doi.org/10.1016/j.molliq.2019.03.151CrossRef

45.

Shaw, S.; Kameswaran, P. K.; Precious Sibanda, P.: Homogeneous-heterogeneous reactions in micropolar fluid flow from a permeable stretching or shrinking sheet in a porous medium. Boundary Value Probl. 2013(77), (2013)

Title: Impact of Nonlinear Rosseland Approximation on Flow of Newtonian Fluid with Unequal Diffusivities of Chemically Reactive Species
Authors: M. Sheikh
Z. Abbas
J. Hasnain
A. Nadeem
M. Sajid
Publication date: 06-01-2021
Publisher: Springer Berlin Heidelberg
Published in: Arabian Journal for Science and Engineering / Issue 3/2021
Print ISSN: 2193-567X
Electronic ISSN: 2191-4281
DOI: https://doi.org/10.1007/s13369-020-05216-9

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