Heat and mass transfer investigation of a chemically reactive Burgers nanofluid with an induced magnetic field over an exponentially stretching surface
Restricted accessResearch articleFirst published online December, 2021
Heat and mass transfer investigation of a chemically reactive Burgers nanofluid with an induced magnetic field over an exponentially stretching surface
The flow of a chemically reactive Burgers nanofluid with an induced magnetic field over an exponentially stretching surface is considered in this analysis. The thermal slip and concentration slip boundary conditions are considered to analyze the flow at the exponentially stretching surface in the current analysis. Furthermore, a heat transfer analysis is presented with the influence of heat generation/absorption and a variable thermal conductivity effect. Appropriate similarity variables are used to transfer the flow model into the coupled ordinary differential equations. These coupled equations are computed numerically by using the Boundary value problem (BVP) midrich technique. The impact of emerging parameters is examined graphically. It is found that the fluid velocity augments for the several values of relaxation parameters, while it shows the opposite trend for the retardation parameter. Further, it is found that the transfer rate of heat and mass boosted by increasing the values of relaxation and retardation parameters. A comparative investigation of the present article with the prevailing literature shows a remarkable agreement.
BurgersJM. Mechanical considerations-model systems-phenomenological theories of relaxation and of viscosity. In First Report on Viscosity and Plasticity. New York: Nordemann Publishing Company, 1935.
2.
RümpkerGWolffD. Viscoelastic relaxation of a Burgers half-space: implications for the interpretation of the Fennoscandian uplift. Geophys J Int1996; 124: 541–555.
3.
QuintanillaRRajagopalKR. On burgers fluids. Math Methods Appl Sci2006; 29: 2133–2147.
4.
FetecauCHayatTKhanM, et al.A note on longitudinal oscillations of a generalized Burgers fluid in cylindrical domains. J Non-Newtonian Fluid Mech2010; 165: 350–361.
5.
KhanMAnjumAFetecauC, et al.Exact solutions for some oscillating motions of a fractional Burgers’ fluid. Math Comput Model2010; 51: 682–692.
6.
KhanNAKhanSUllahS. MHD flow of Burger's fluid over an off-centered rotating disk in a porous medium. AIP Adv2015; 5: 087179.
7.
KhanMKhanWA. Steady flow of Burgers’ nanofluid over a stretching surface with heat generation/absorption. J Braz Soc Mech Sci Eng2016; 38: 2359–2367.
8.
DasKAcharyaNKunduPK. The onset of nanofluid flow past a convectively heated shrinking sheet in presence of heat source/sink: a Lie group approach. Appl Therm Eng2016; 103: 38–46.
9.
RamzanMBilalMChungJD,et al.Impact of generalized Fourier's and Fick's Laws on MHD 3D second grade nanofluid flow with variable thermal conductivity and convective heat and mass conditions. Phys Fluids2017; 29: 093102.
10.
RamzanMBilalMChungJD. Effects of thermal and solutal stratification on Jeffrey magneto-nanofluid along an inclined stretching cylinder with thermal radiation and heat generation/absorption. Int J Mech Sci2017; 131: 317–324.
11.
SafdarRImranMKhaliqueCM. Time-dependent flow model of a generalized Burgers’ fluid with fractional derivatives through a cylindrical domain: an exact and numerical approach. Results Phys2018; 9: 237–245.
12.
WaqasMKhanIMHayatT, et al. A generalized Fourier and Fick’s perspective for stretching flow of Burgers fluid with temperature-dependent thermal conductivity. Therm Sci2018; 00: 82–82.
13.
NirmalaPHKumariAS. Convection unsteady MHD of chemical reaction burgers fluid flow over a stretching sheet in the presence of radiation and heat source with the surface boundary condition. In: AIP conference proceedings, vol. 2246, Melville, New York: AIP Publishing, LLC, 2020, p. 020087.
14.
AcharyaNMondalHKunduPK. Spectral approach to study the entropy generation of radiative mixed convective couple stress fluid flow over a permeable stretching cylinder. Proc IMechE, Part C: J Mechanical Engineering Science2020. https://doi.org/10.1177/0954406220954893
15.
AcharyaNMaitySKunduPK. Differential transformed approach of unsteady chemically reactive nanofluid flow over a bidirectional stretched surface in presence of magnetic field. Heat Transfer2020; 49: 3917–3942.
16.
LiZHusseinAKYounisO, et al.Natural convection and entropy generation of a nanofluid around a circular baffle inside an inclined square cavity under thermal radiation and magnetic field effects. Int Commun Heat Mass Transfer2020; 116: 104650.
17.
SheikholeslamiMFarshadSAShafeeA,et al.Performance of solar collector with turbulator involving nanomaterial turbulent regime. Renew Energy2021; 163: 1222–1237.
18.
SarpkayaT. Flow of non-Newtonian fluids in a magnetic field. AIChE J1961; 7: 324–328.
19.
DjukicDS. On the use of Crocco's equation for the flow of power-law fluids in a transverse magnetic field. AIChE J1973; 19: 1159–1163.
20.
KumariMNathG. Steady mixed convection stagnation-point flow of upper convected Maxwell fluids with magnetic field. Int J Non-Linear Mech2009; 44: 1048–1055.
21.
AliFMNazarRArifinNM, et al.MHD stagnation-point flow and heat transfer towards stretching sheet with an induced magnetic field. Appl Math Mech2011; 32: 409–418.
22.
KumarKAReddyJRSandeepN, et al.Influence of thermal radiation on stagnation flow towards a stretching sheet with an induced magnetic field. Adv Phys Theor Appl2016; 53: 23–28.
23.
SandeepNSulochanaCAnimasaunIL. Stagnation-point flow of a Jeffrey nanofluid over a stretching surface with induced magnetic field and chemical reaction. Int J Eng Res Africa2016; 20: 93–111.
24.
SheikholeslamiMRokniHB. Nanofluid two phase model analysis in existence of induced magnetic field. Int J Heat Mass Transfer2017; 107: 288–299.
25.
AcharyaNDasKKunduPK. Framing the features of MHD boundary layer flow past an unsteady stretching cylinder in presence of non-uniform heat source. J Mol Liq2017; 225: 418–425.
26.
RamzanMBilalMChungJD. Radiative Williamson nanofluid flow over a convectively heated Riga plate with chemical reaction – a numerical approach. Chin J Phys2017; 55: 1663–1673.
27.
RamzanMBilalMKanwalS, et al.Effects of variable thermal conductivity and non-linear thermal radiation past an Eyring Powell nanofluid flow with chemical reaction. Commun Theor Phys2017; 67: 723.
28.
BilalMSagheerMHussainS, et al.MHD Stagnation point flow of Williamson fluid over a stretching cylinder with variable thermal conductivity and homogeneous/heterogeneous reaction. Commun Theor Phys2017; 67: 688.
29.
BilalMHussainSSagheerM. Boundary layer flow of magneto-micropolar nanofluid flow with Hall and ion-slip effects using variable thermal diffusivity. Bull Pol Acad Sci Tech Sci2017; 65: 383–390.
30.
DasKAcharyaNKunduPK. Influence of variable fluid properties on nanofluid flow over a wedge with surface slip. Arab J Sci Eng2018; 43: 2119–2131.
31.
AcharyaNDasKKunduPK. Influence of multiple slips and chemical reaction on radiative MHD Williamson nanofluid flow in porous medium. Multidiscip Model Mater Struct2019; 15: 630–658. https://doi.org/10.1108/MMMS-08-2018-0152
32.
ArainMBBhattiMMZeeshanA,et al.Analysis of Arrhenius kinetics on multiphase flow between a pair of rotating circular plates. Math Probl Eng2020; 2020. https://doi.org/10.1155/2020/2749105
33.
ShahidAHuangHLKhaliqueCM, et al.Numerical analysis of activation energy on MHD nanofluid flow with exponential temperature-dependent viscosity past a porous plate. J Therm Anal Calorim2020; 143: 1–12.
34.
SheikholeslamiMJafaryarMShafeeA, et al.Acceleration of discharge process of clean energy storage unit with insertion of porous foam considering nanoparticle enhanced paraffin. J Cleaner Prod2020; 261: 121206.
35.
AbubakrMAmeinHAkoushBM, et al.An intuitive framework for optimizing energetic and exergetic performances of parabolic trough solar collectors operating with nanofluids. Renew Energy2020; 157: 130–149.
36.
SheikholeslamiMFarshadSA. Nanoparticle transportation inside a tube with quad-channel tapes involving solar radiation. Powder Technol2021; 378: 145–159.
37.
BezaatpourMRostamzadehHBezaatpourJ. Hybridization of rotary absorber tube and magnetic field inducer with nanofluid for performance enhancement of parabolic trough solar collector. J Cleaner Prod2021; 283: 124565.
38.
BilalMUrvaY. Analysis of non-Newtonian fluid flow over fine rotating thin needle for variable viscosity and activation energy. Arch Appl Mech2020; 91: 1–17.
39.
HafeezAKhanMAhmedJ. Stagnation point flow of radiative Oldroyd-B nanofluid over a rotating disk. Comput Methods Programs Biomed2020; 191: 105342.
40.
AmanFIshakAPopI. Mixed convection boundary layer flow near stagnation-point on vertical surface with slip. Appl Math Mech2011; 32: 1599–1606.
41.
ZaibAKhanUKhanI, et al.Entropy generation and dual solutions in mixed convection stagnation point flow of micropolar Ti6Al4 V nanoparticle along a Riga surface. Processes2020; 8: 14.
