Restricted accessResearch articleFirst published online 2024
Chemical reaction,Soret and Dufour impacts on magneto-hydrodynamic (MHD) convective Casson fluid over a vertical absorbent plate with ramped wall temperature and ramped surface concentration
In the energy transport field, the non-Newtonian fluid flows have a comprehensive series of applications in association with biological fluids, oceanography, covering energy exchanger technology, melt-spinning, and the freezing of metallic plates and suspensions. Therefore, the chemical reaction, heat generation, Soret and Dufour consequences on magneto-hydrodynamic unsteady chemically reactive Casson fluid have been considered. It is due to an exponentially accelerated vertical permeable plate embedded into a porous medium by captivating ramped surface temperature and concentration in the endurances of thermal radiation. The basic governing sets of equations are converted into non-dimensional forms by putting the appropriate non-dimensional variables and the resultant equations are computationally solved by the proficient Crank–Nicolson implicit finite difference methodology. The influences of numerous imperative considerable parameters on the velocity, temperature along with concentration of the fluids, and the skin friction coefficients, Nusselt and Sherwood numbers for the together thermal situations have been explored and discussed powerfully by making utilization of graphical profiles in addition to tables. It is found that by the increasing quantities of the Dufour, temperature generation and thermal radiation parameter, the fluid temperature and velocity are enhanced. Similarly, it is found that an increase in the Soret parameter, then the fluid velocity and concentration are enhanced, while opposite results are obtained by increasing in the chemical reaction parameter.
KrishnaMVAhamadNAChamkhaAJ. Hall and ion slip effects on unsteady MHD free convective rotating flow through a saturated porous medium over an exponential accelerated plate. Alex Eng J2020; 59: 565–577.
2.
KrishnaMVSravanthiCSGorlaRSR. Hall and ion slip effects on MHD rotating flow of ciliary propulsion of microscopic organism through porous media. Int Commun Heat Mass Transf2020; 112: 104500.
3.
KrishnaMVChamkhaAJ. Hall effects on MHD squeezing flow of a water based nano fluid between two parallel disks. J Porous media2019; 22: 209–223.
4.
KrishnaMVChamkhaAJ. Hall and ion slip effects on unsteady MHD convective rotating flow of nanofluids – application in biomedical engineering. J Egyptian Math Soc2020; 28: 1–14.
5.
KrishnaMV. Heat transport on steady MHD flow of copper and alumina nanofluids past a stretching porous surface. Heat Transf2020; 49: 1374–1385.
6.
Anki ReddyPB. Magneto-hydrodynamic flow of Casson fluid over an exponentially inclined permeable stretching surface with thermal radiation and chemical reaction. Ain Shams Eng J2016; 7: 593–602.
7.
KatariaHRPatelHR. Radiation and chemical reaction effects on MHD Casson fluid flow past an oscillating vertical plate embedded in porous medium. Alex Eng J2016; 55: 583–595.
8.
HussananASallehMZKhanI,et al.Heat transfer in magneto-hydrodynamic flow of a Casson fluid with porous medium and Newtonian heating. J Nanofluids2017; 6: 784–793.
9.
Abd EI-azizMYahyaAS. Perturbation analysis of unsteady boundary layer slip flow and heat transfer of Casson fluid past a vertical permeable plate with Hall current. Appl Math Comput2017; 307: 146–164.
10.
HussananASallehMZKhanI,et al.Heat transfer in magneto-hydrodynamic flow of a Casson fluid with porous medium and Newtonian heating. J Nanofluids2017; 6: 1–10.
11.
KatariaHRPatelHR. Heat and mass transfer in magneto-hydrodynamic (MHD) Casson fluid flow past over an oscillating vertical plate embedded in a porous medium with ramped wall temperature. Propul Power Res2018; 7: 257–267.
12.
MahantheshBMakindeODGireeshaBJ. Two-phase flow of dusty Casson fluid Cattaneo–Christov heat flux and heat source past a cone, wedge and plate. Defect Diffus Forum2018; 387: 625–639.
13.
SaravanaRSailajaMReddyRH. Effect of aligned magnetic field on Casson fluid flow over a stretched surface of non-uniform thickness. Nonlinear Eng2019; 8: 283–292.
14.
PatelHR. Effects of heat generation, thermal radiation and Hall current on MHD Casson fluid flow past an oscillating plate in porous medium. Multiphase Sci Tech2019; 31: 87–107.
15.
EndalewMF. Analytical study of heat and mass transfer effects on unsteady Casson fluid flow over an oscillating plate with thermal and solutal boundary conditions. Heat Transf2021; 50: 6285–6299.
16.
ChamkhaAJ. Thermal radiation and buoyancy effects on hydro-magnetic flow over an accelerating permeable surface with heat source or sink. Int J Eng Science2000; 38: 1699–1712.
17.
SajidMHayatT. Influence of thermal radiation on the boundary layer flow due to an exponentially stretching sheet. Int Commu Heat Mass Transf2008; 35: 347–356.
18.
KrishnaMVChamkhaAJ. Hall and ion slip effects on MHD rotating boundary layer flow of nanofluid past an infinite vertical plate embedded in a porous medium. Results Phys2019; 15: 102652.
19.
KrishnaMVSwarnalathammaBVChamkhaAJ. Investigations of Soret, Joule and Hall effects on MHD rotating mixed convective flow past an infinite vertical porous plate. J Ocean Eng Sci2019; 4: 263–275.
20.
ChaudarySSusheelaC. Thermal radiation effects on MHD boundary layer flow over an exponentially accelerating surface. Appl Math2015; 6: 295.
21.
SinghKKumarM. Effect thermal radiation on mixed convection flow of microploar fluid from an unsteady stretching surface with viscous dissipation and heat generation/absorption. Int J Che Eng2016; 4: 1–10.
22.
SethGSKumbhakarBSharmaIR. Unsteady MHD free convection flow with Hall effect of a radiating and heat absorbing fluid past a moving vertical plate with variable ramped temperature. J Egyptian Math Soc2016; 24: 471–478.
23.
JyotsnaRPDasGCSinghS. Radiation and mass transfer effects on MHD flow through porous medium past an exponentially accelerated inclined plate with variable temperature. Ain Shams Eng J2017; 8: 67–75.
24.
VeereshCRajuMCVarmaSVK,et al.Effects of thermal diffusion and radiation on magneto-hydrodynamic (MHD) chemically reacting fluid flow past a vertical plate in a slip flow regime. J Appl Comp Mech2019; 5: 334–343.
25.
VenkateshwarluMReddyGVRLaxmiDV. Effects of chemical reaction and heat generation on MHD boundary layer flow of a moving vertical plate with suction and viscous dissipation. Eng Int2013; 1: 27–38.
26.
SethGSHussainSMSarkarS. Hydro-magnetic natural convection flow with heat and mass transfer of a chemically reacting and heat absorbing fluid past an accelerated moving vertical plate with ramped temperature and ramped surface concentration through a porous medium. J Egypt Math Soc2015; 23: 197–207.
27.
Satya NarayanaPVVenkateswarluBDevikaB. Chemical reaction and heat source effects on MHD oscillatory flow in an irregular channel. Ain Shams Eng J2016; 5: 1079–1088.
28.
PalDBiswasS. Influence of chemical reaction and Soret effect on mixed convective MHD oscillatory flow of Casson fluid with thermal radiation and viscous dissipation. Int J Compu Math2016; 3: 1897–1919.
29.
KumarNSKumarBRKumarAGV. Thermal diffusion and chemical reaction effects on unsteady flow past a vertical porous plate with heat source in slip flow regime. J Nav Arch Mar Eng2016; 13: 51–62.
30.
DasMMahantaGShawS,et al.Unsteady MHD chemically reactive double-diffusive Casson fluid past a flat plate in porous medium with heat and mass transfer. Heat Transfer-Asian Res2019; 48: 1761–1777.
31.
KatariaHRPatelHR. Effects of chemical reaction and heat generation/absorption on MHD Casson fluid flow over an exponentially accelerated vertical plate embedded in a porous medium with ramped wall temperature and ramped surface temperature. Propul Power Res2019; 8: 35–46.
32.
KaladharKKomuraiahEReddyKM. Soret and Dufour effects on chemically reacting mixed convection flow in an annulus with Navier slip and convective boundary conditions. Appl Math Nonlinear Sci2019; 4: 475–488.
33.
NandiSKumbhakarB. Hall current and thermo-diffusion effects on magneto-hydrodynamic convective flow near an oscillatory plate with ramped type thermal and solutal boundary conditions. Indian J Phys2021; 96: 1–14.
34.
GoudGS. Heat generation/absorption influence on steady stretched permeable surface on MHD flow of a micropolar fluid through a porous medium in the presence of variable suction/injection. Int J Thermofluids2020; 7–8: 100044.
35.
GoudGSNandeppanavarMM. Effect of thermal radiation on magneto hydro dynamics heat transfer micropolar fluid flow over a vertical moving porous plate. Exp Comput Multiph Flow2023; 5: 149–158.
36.
SrinivasuluTGoudBS. Effect of inclined magnetic field on flow, heat and mass transfer of Williamson nanofluid over a stretching sheet. Case Stud Therm Eng2021; 23: 100819.
37.
GoudBSMahanteshMN. Ohmic heating and chemical reaction effect on MHD flow of micropolar fluid past a stretching surface. Partial Differ Equ Appl Math2021; 4: 100104.
38.
GoudBSKumarPPMalgaBS,et al.FEM to study the radiation, Soret, Dufour numbers effect on heat and mass transfer of magneto-Casson fluid over a vertical permeable plate in the presence of viscous dissipation. Waves Random Complex Media2022. doi:10.1080/17455030.2022.2091809.
39.
AmarNKishanNGoudBS. MHD Heat transfer flow over a moving wedge with convective boundary conditions with the influence of viscous dissipation and internal heat generation/absorption. Heat Transfer2022; 51: 5015–5029.
40.
GoudBSKumarPPMalgaBS. Induced magnetic field effect on MHD free convection flow in nonconducting and conducting vertical microchannel walls. Heat Transfer2022; 51: 2201–2218.
41.
HussainSMGoudBSMadheshwaranP, et al.Effectiveness of non-uniform heat generation (sink) and thermal characterization of a Carreau fluid flowing across a nonlinear elongating cylinder: a numerical study. ACS Omega2022; 7: 25309–25320.
42.
ShankarBGReddyYDJamshedW, et al.2D Mixed convection non-Darcy model with radiation effect in a nanofluid over an inclined wavy surface. Alexandria Eng J2022; 61: 9965–9976.
43.
ShankarBGReddyYDJamshedW, et al.Radiation effect on MHD Casson fluid flow over an inclined non-linear surface with chemical reaction in a Forchheimer porous medium. Alexandria Eng J2022; 61: 8207–8220.
44.
ReddyYDMebarek-OudinaFGoudBS,et al.Radiation, velocity and thermal slips effect toward MHD boundary layer flow through heat and mass transport of Williamson nanofluid with porous medium. Arab J Sci Eng2022; 47: 16355–16369. doi:10.1007/s13369-022-06825-2.
45.
ReddyNNReddyYDRaoVS, et al.Multiple slip effects on steady MHD flow past a non-isothermal stretching surface in presence of Soret, Dufour with suction/injection. Int Commun Heat Mass Transf2022; 134: 106024.
46.
ReddyYDGoudBSKhanMR, et al.Transport properties of a hydromagnetic radiative stagnation point flow of a nanofluid across a stretching surface. Case Stud Therm Eng2022; 31: 101839.
47.
KumarMAReddyYDRaoVS,et al.Thermal radiation impact on MHD heat transfer natural convective nano fluid flow over an impulsively started vertical plate. Case Stud Therm Eng2021; 24: 100826.
48.
KumarMAReddyYDGoudBS,et al.An impact on non-Newtonian free convective MHD Casson fluid flow past a vertical porous plate in the existence of Soret, Dufour, and chemical reaction. Int J Ambient Energy2022; 43: 7410–7418. doi:10.1080/01430750.2022.2063381.
49.
ReddyYDGoudBSChamkhaAJ,et al.Influence of radiation and viscous dissipation on MHD heat transfer Casson nanofluid flow along a nonlinear stretching surface with chemical reaction. Heat Transfer2022; 51: 3495–3511.
50.
NagarajuLNaikotiKKrishnaMV. Chemical reaction and Soret effects on MHD convective flow of second grade fluid through an absorbent medium with ramped wall temperature as well as ramped surface concentration. J Indian Chem Soc2023; 100: 100818.
51.
KrishnaMV. Hall and ion slip effects on MHD free convective rotating flow bounded by the semi-infinite vertical porous surface. Heat Transfer2020; 49: 1920–1938.
52.
KrishnaMV. Hall and ion slip effects on MHD laminar flow of an elastic-viscous (Walter’s-B) fluid. Heat Transfer2020; 49: 2311–2329.
53.
BashaPMSKrishnaMVNagarathnaN. Hall and ion slip effects on steady MHD free convective flow through a porous medium in a vertical micro channel. Heat Transfer2020; 45: 4264–4280.
54.
AkinshiloATIlegbusiAOAliHM, et al.Impact of melting and radiation on MHD mixed convective heat transfer slip flow through vertical porous embedded micro-channel. J Cent South Univ2023; 30: 3670–3681.
55.
KoulaliASahiAMezianiB, et al.CFD Analysis of natural convection between two superposed fluids: role of corrugated bottoms. Chem Eng Commun 2023; 210: 670–686.
56.
AbedRNAbedARNYousifE. Carbon surfaces doped with (Co3O4-Cr2O3) nano-composite for high-temperature photo thermal solar energy conversion via spectrally selective surfaces. Prog. Color Colorants Coat2021; 14: 301–315.
57.
AbedRNAbdallhMRashadAA, et al.New coating synthesis comprising CuO:niO/C to obtain highly selective surface for enhancing solar energy absorption. J. Polym. Bull2021; 78: 433–455.
58.
AbedRNYousifEAbedARN, et al.Optical properties of PVC composite modified during light exposure to give high absorption enhancement. J. Non-Crys. Solids2021; 570: 120946.
59.
AbedRNAbedARNKhamasFA, et al.High performance thermal coating comprising (CuO:niO) nanocomposite/C spectrally selective to absorb solar energy. Prog Color Colorants Coat2020; 13: 275–284.
60.
AbedRNMustafaAAlaaAR, et al.Spectrally selective coating of nanoparticles (Co3O4:cr2O3) incorporated in carbon to captivate solar energy. Heat Transf-Asian Res2020; 49: 1386–1401.
61.
AbedANAbedRN. Characterization effect of copper oxide and cobalt oxide nanocomposite on poly(vinyl chloride) doping process for solar energy applications. Prog Color Colorants Coat2022; 15: 235–241.
62.
AbedRNZainulabdeenKAbdallhM, et al.The optical properties behavior of modify poly(methyl methacrylate) nanocomposite thin films during solar energy absorption. J Non-Cryst Solids2023; 609: 122257.
63.
AbedRNAbedARNAbedAN. Electrical conductivity of carbon ash surface immersed with nanoparticles (Co3O4–Cr2O3) for spectroscopic selective surfaces. Poly Bull2023; 80: 11207–11224.
64.
AbedRNSattarMAHameedSS, et al.Optical and morphological properties of poly(vinyl chloride)-nano-chitosan composites doped with TiO2 and Cr2O3 nanoparticles and their potential for solar energy applications. Chem Papers2023; 77: 757–769.
65.
AhmedAAbedRNKadhomM, et al.Modification of poly (vinyl chloride) thin films with organic compound and nanoparticles for solar energy applications. J Polym Res2023; 30: 274.
66.
BrewsterMQ. Thermal radiative transfer and properties. New York: John Wiley and Sons, 1972.
Supplementary Material
Please find the following supplemental material available below.
For Open Access articles published under a Creative Commons License, all supplemental material carries the same license as the article it is associated with.
For non-Open Access articles published, all supplemental material carries a non-exclusive license, and permission requests for re-use of supplemental material or any part of supplemental material shall be sent directly to the copyright owner as specified in the copyright notice associated with the article.
