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Journal of Engineering Mathematics
Published in: Journal of Engineering Mathematics 1/2022

01-02-2022

Thermal radiation on mixed convection heat and mass transfer over a vertical permeable stretching/shrinking sheet with Soret and Dufour effects

Authors: Nor Fadhilah Dzulkifli, Norfifah Bachok, Nor Azizah Yacob, Norihan Md Arifin, Haliza Rosali, Ioan Pop

Published in: Journal of Engineering Mathematics | Issue 1/2022

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Abstract

The flow characteristics of heat and mass transfer on mixed convection over a vertical permeable stretching/shrinking sheet in the presence of thermal radiation with Soret and Dufour effects were studied. The governing equations were transformed to ordinary differential equations using appropriate similarity variables and solved numerically using MATLAB ‘bvp4c’ residual method. The effect of different pertinent flow parameters on velocity, temperature, and concentration distributions were examined and presented graphically. Also, the skin-friction coefficient, heat and mass transfers coefficients were computed for different parameters. The conclusion is drawn that the flow field and other quantities of physical interests are significantly influenced by these parameters. The stability analysis is also conducted due to appearance of dual solutions.
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Literature
1.
Chen TS, Armaly BF (1987) Handbook of single-phase convective heat transfer. Wiley, New York
2.
Gebhart B, Jaluria Y, Mahajan RL, Sammakia B (1988) Buoyancy-induced flows and transport. Hemisphere, New YorkMATH
3.
Schlichting H, Gersten K (2001) Boundary layer theory. Springer, New YorkMATH
4.
Pop I, Ingham DB (2001) Convective heat transfer: mathematical and computational viscous fluids and porous media. Pergamon, London
5.
6.
Mehryan S, Izadpanahi E, Ghalambaz M, Chamkha AJ (2019) Mixed convection flow caused by an oscillating cylinder in a square cavity filled with Cu-Al\(_{2}\)O\(_{3}\)/water hybrid nanofluid. J Therm Anal Calorim 137:965–982CrossRef
7.
Ghalambaz M, Doostani A, Izadpanahi E, Chamkha AJ (2020) Conjugate natural convection flow of Ag–MgO/water hybrid nanofluid in a square cavity. J Therm Anal Calorim 139:2321–2336CrossRef
8.
Mehryan SAM, Ghalambaz M, Chamkha AJ, Izadi M (2020) Numerical study on natural convection of Ag–MgO hybrid/water nanofluid inside a porous enclosure: a local thermal non-equilibrium model. Powder Technol 367:443–455CrossRef
9.
10.
Joly F, Vasseur P, Labrosse G (2000) Soret-driven thermosolutal convection in a vertical enclosure. Int Commun Heat Mass 27:755–764CrossRef
11.
Chamkha AJ, Rashad AM (2014) Unsteady heat and mass transfer by MHD mixed convection flow from a rotating vertical cone with chemical reaction and Soret and Dufour effects. Can J Chem Eng 92(4):758–767CrossRef
12.
Kafoussias NG, Williams EW (1995) Thermal-diffusion and diffusion-thermo effects on mixed free-forced convective and mass transfer boundary layer flow with temperature dependent viscosity. Int J Eng Sci 33(9):1369–1384MATHCrossRef
13.
Alam S, Rahman MM, Samad MA (2006) Dufour and Soret effects on unsteady MHD free convection and mass transfer flow past a vertical porous plate in a porous medium. Nonlinear Anal 11(3):217–226MATHCrossRef
14.
El-Kabeir SMM (2011) Soret and Dufour effects on heat and mass transfer due to a stretching cylinder saturated porous medium with chemically-reactive species. Latin Am Appl Res 41:331–337
15.
Buongiorno J (2006) Convective transport in nanofluids. ASME J Heat Transf 128(3):240–250CrossRef
16.
Kuznetsov AV, Nield DA (2014) Natural convective boundary-layer flow of a nanofluid past a vertical plate: a revised model. Int J Therm Sci 77:126–129CrossRef
17.
Dzulkifli NF, Bachok N, Pop I, Yacob NA, Arifin NM, Rosali H (2017) Soret and Dufour effects on unsteady boundary layer flow and heat transfer of nanofluid over a stretching/shrinking sheet: A stability analysis. J Chem Eng Process Technol 8(3):1000336MATHCrossRef
18.
Dzulkifli NF, Bachok N, Yacob NA, Arifin NM (2019) Soret and Dufour effects on unsteady boundary layer flow and heat transfer in copper-water nanofluid over a shrinking sheet with partial slip and stability analysis. J Nanofluids 8(7):1601–1608CrossRef
19.
Bekezhanova VB, Goncharova ON (2020) Influence of the Dufour and Soret effects on the characteristics of evaporating liquid flows. Int J Heat Mass Tran 154:119696CrossRef
20.
Salleh SNA, Bachok N, Arifin NM, Ali FM (2020) Influence of Soret and Dufour on forced convection flow towards a moving thin needle considering Buongiorno’s nanofluid model. Alex Eng J 59(5):3897–3906CrossRef
21.
Jawad M, Saeed A, Kumam P, Shah Z, Khan A (2021) Analysis of boundary layer MHD Darcy-Forchheimer radiative nanofluid flow with Soret and Dufour effects by means of marangoni convection. Case Stud Therm Eng 23:100792CrossRef
22.
Shehzad SA, Abbas Z, Rauf A, Abdelmalek Z (2021) Dynamics of fluid flow through Soret–Dufour impacts subject to upward and downward motion of rotating disk. Int Commun Heat Mass 120:105025CrossRef
23.
Sakiadis BC (1961) Boundary-layer behavior on continuous solid surfaces: I. Boundary-layer equations for two-dimensional and axisymmetric flow. AIChE J 7(1):26–28CrossRef
24.
Crane LJ (1970) Flow past a stretching plate. J Appl Math Phys (ZAMP) 21:645–647CrossRef
25.
Takhar HS, Chamkha AJ, Nath G (2000) Combined heat and mass transfer along a vertical moving cylinder with a free stream. Heat Mass Transf 36:237–246CrossRef
26.
Takhar HS, Chamkha AJ, Nath G (2001) Unsteady three-dimensional MHD-boundary-layer flow due to the impulsive motion of a stretching surface. Acta Mech 146:59–71MATHCrossRef
27.
Elsaid EM, Abdel-wahed MS (2021) Impact of hybrid nanofluid coolant on the boundary layer behavior over a moving cylinder: numerical case study. Case Stud Therm Eng 25:100951CrossRef
28.
Aladdin NAL, Bachok N, Pop I (2021) Boundary layer flow and heat transfer of Cu–Al\(_2\)O\(_3\)/water over a moving horizontal slender needle in presence of hydromagnetic and slip effects. Int Comm Heat Mass Trans 123:105213CrossRef
29.
Das K (2011) Effects of heat and mass transfer on MHD free convection flow near a moving vertical plate of a radiating and chemically reacting fluid. J Sib Fed Univ Math Phys 4(1):18–31MATH
30.
Chamkha AJ (1997) Solar radiation assisted natural convection in uniform porous medium supported by a vertical flat plate. J Heat Transf 119(1):89–96CrossRef
31.
Veera Krishna M, Chamkha AJ (2019) Hall and ion slip effects on MHD rotating boundary layer flow of nanofluid past an infinite vertical plate embedded in a porous medium. Results Phys 15:102652CrossRef
32.
Thameem Basha H, Sivaraj R, Subramanyam Reddy A, Chamkha AJ (2019) SWCNH/ diamond-ethylene glycol nanofluid flow over a wedge, plate and stagnation point with induced magnetic field and nonlinear radiation - solar energy application. Eur Phys J Spec Top 228:2531–2551CrossRef
33.
Kumar B, Seth GS, Nandkeolyar R, Chamkha AJ (2019) Outlining the impact of induced magnetic field and thermal radiation on magneto-convection flow of dissipative fluid. Int J Thermal Sci 146:106101CrossRef
34.
Chamkha AJ, Dogonchi AS, Ganji DD (2019) Magneto-hydrodynamic flow and heat transfer of a hybrid nanofluid in a rotating system among two surfaces in the presence of thermal radiation and Joule heating. AIP Adv 9:025103CrossRef
35.
Chamkha AJ (1997) MHD-free convection from a vertical plate embedded in a thermally stratified porous medium with Hall effects. Appl Math Model 21(10):603–609MATHCrossRef
36.
Modather M, Rashad AM, Chamkha AJ (2009) An analytical study of MHD heat and mass transfer oscillatory flow of a micropolar fluid over a vertical permeable plate in a porous medium. Turk J Eng Env Sci 33:245–257
37.
Ghasemi SE, Hatami M (2021) Solar radiation effects on MHD stagnation point flow and heat transfer of a nanofluid over a stretching sheet. Case Stud in Therm Eng 25:100898CrossRef
38.
Muthucumaraswamy R, Saravanan B (2014) Numerical study of MHD and radiation effects on flow past an oscillating isothermal vertical plate with uniform mass flux. Int J Innov Res Sci Eng Technol 3(2):9139–9155
39.
Srinivasacharya D, RamReddy Ch (2011) Soret and Dufour effects on mixed convection from an exponentially stretching surface. Int J Nonlinear Sci 12(1):60–68MathSciNetMATH
40.
Pal D, Mondal H (2012) Influence of chemical reaction and thermal radiation on mixed convection heat and mass transfer over a stretching sheet in Darcian porous medium with Soret and Dufour effects. Energy Convers Manag 62:102–108CrossRef
41.
Rosseland S (1936) Theoretical astrophysics. Oxford Univ. Press, ClarendonMATH
42.
Raptis A (1998) Radiation and free convection flow through a porous medium. Int Commun Heat Mass Transf 25(2):289–295CrossRef
43.
Magyari E, Pantokratoras A (2011) Note on the effect of thermal radiation in the linearized Rosseland approximation on the heat transfer characteristics of various boundary layer flows. Int Comm Heat Mass Transf 38(5):554–556CrossRef
44.
Viskanta R, Grosh RJ (1962) Heat transfer by simultaneous conduction and radiation in an absorbing medium. J Heat Transf 84:63–72CrossRef
45.
Sparrow EM, Cess RD (1978) Radiation heat transfer. Hemisphere Publishing Company, Washington
46.
Pop SR, Pop S, Groşan T, Pop I (2004) Radiation effects on the flow near the stagnation point of a stretching sheet. Technishe Mekanik 25:100–106
47.
Kumari M, Nath G (2004) Radiation effect on mixed convection from a horizontal surface in a porous medium. Mech Res Commun 31(4):483–491MATHCrossRef
48.
Cortell R (2012) Combined effect of viscous dissipation and thermal radiation on fluid flows over a non-linearly stretched permeable wall. Meccanica 47:769–781MathSciNetMATHCrossRef
49.
Fang T, Zhang YS, Ji AA (2010) Viscous flow over a shrinking sheet with a second order slip flow model. Commun Nonlinear Sci Num Simul 15(7):1831–1842MathSciNetMATHCrossRef
50.
Vajravelu K, Rollins D (2004) Hydromagnetic flow of a second grade fluid over a stretching sheet. Appl Math Comput 148(3):783–791MathSciNetMATH
51.
Cortell R (2007) Viscous flow and heat transfer over a nonlinearly stretching sheet. Appl Math Comput 184(2):864–873MathSciNetMATH
52.
53.
Weidman PD, Kubitschek D, Davis AMJ (2006) The effect of transpiration on self-similar boundary layer flow over moving surfaces. Int J Eng Sci 44:730–737MATHCrossRef
54.
Ishak A, Nazar R, Arifin NM, Pop I (2007) Mixed convection of the stagnation-point flow towards a stretching vertical permeable sheet. Malays J Math Sci 1(2):217–226
55.
Mousavi SM, Rostami MN, Yousefi M, Dinarvand PI, Sheremet MA (2021) Dual solutions for Casson hybrid nanofluid flow due to a stretching/shrinking sheet: a new combination of theoretical and experimental models. Chin J Phys 71:574–588MathSciNetCrossRef
56.
Harris SD, Ingham DB, Pop I (2009) Mixed convection boundary-layer flow near the stagnation point on a vertical surface in a porous medium: Brinkman model with slip. Transp Porous Med 77:267–285CrossRef
Metadata
Title
Thermal radiation on mixed convection heat and mass transfer over a vertical permeable stretching/shrinking sheet with Soret and Dufour effects
Authors
Nor Fadhilah Dzulkifli
Norfifah Bachok
Nor Azizah Yacob
Norihan Md Arifin
Haliza Rosali
Ioan Pop
Publication date
01-02-2022
Publisher
Springer Netherlands
Published in
Journal of Engineering Mathematics / Issue 1/2022
Print ISSN: 0022-0833
Electronic ISSN: 1573-2703
DOI
https://doi.org/10.1007/s10665-021-10188-2

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