Modelling and analysis of three-dimensional chemically reacting, radiating Casson-nanofluid flow: thermophoresis and Brownian motion effects
DOI:
https://doi.org/10.14311/AP.2024.64.0455Keywords:
MHD chemical reaction, three-dimensional Casson fluid, nanofluid, inear stretching sheet thermal radiation, porous medium, finite element techniqueAbstract
In the presence of a porous material and a magnetic field, the authors of this work must evaluate the combined effects of chemical reaction and thermal radiation on a Casson-nanofluid flow in three dimensions towards a linearly stretched sheet. Using the Roseland approximation, which integrates the effect of thermal radiation into the energy equation, thermal radiation is included in this study. The governing equation with initial and boundary conditions is converted to dimensionless form by adding pertinent non-dimensional variables and parameters, and then numerically solved using the finite element method. The effects of key variables on velocity, temperature, and concentration are shown graphically, followed by tabular representations of the effect of these parameters on skin friction, Nusselt, and Sherwood numbers and an in-depth explanation. This is essential for several technological applications, such as oil heat recovery, termite welding, transpiration cooling, and drag reduction. A comparison of our numerical results with previously published data reveals a high degree of agreement between the two sets of information. This new research has implications for energy systems, biomedical engineering and aeronautics, and has significant implications for the food industry.
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References
L. J. Crane. Flow past a stretching plate. Zeitschrift für angewandte Mathematik und Physik ZAMP 21(4):645–647, 1970. https://doi.org/10.1007/BF01587695
I. Waini, A. Ishak, I. Pop. Hybrid nanofluid flow induced by an exponentially shrinking sheet. Chinese Journal of Physics 68:468–482, 2020. https://doi.org/10.1016/j.cjph.2019.12.015
N. A. Zainal, R. Nazar, K. Naganthran, I. Pop. Viscous dissipation and MHD hybrid nanofluid flow towards an exponentially stretching/shrinking surface. Neural Computing and Applications 33(17):11285–11295, 2021. https://doi.org/10.1007/s00521-020-05645-5
A. S. Rao, K. D. Ramaiah, G. Kotha, et al. A spectral relaxation approach for boundary layer flow of nanofluid past an exponentially stretching surface with variable suction in the presence of heat source/sink with viscous dissipation. Arabian Journal for Science and Engineering 46(8):7509–7520, 2021. https://doi.org/10.1007/s13369-021-05422-z
I. C. Mandal, S. Mukhopadhyay. Nonlinear convection in micropolar fluid flow past a non-isothermal exponentially permeable stretching sheet in presence of heat source/sink. Thermal Engineering 67(4):202–215, 2020. https://doi.org/10.1134/S0040601520040059
M. Subhani, S. Nadeem. Numerical analysis of micropolar hybrid nanofluid. Applied Nanoscience 9(4):447–459, 2019. https://doi.org/10.1007/s13204-018-0926-2
P. Agrawal, P. K. Dadheech, R. N. Jat, D. Baleanu. Radiative MHD hybrid-nanofluids flow over a permeable stretching surface with heat source/sink embedded in porous medium. International Journal of Numerical Methods for Heat & Fluid Flow 31(8):2818–2840, 2021. https://doi.org/10.1108/HFF-11-2020-0694
N. Abbas, S. Nadeem, A. Saleem, et al. Models base study of inclined MHD of hybrid nanofluid flow over nonlinear stretching cylinder. Chinese Journal of Physics 69:109–117, 2021. https://doi.org/10.1016/j.cjph.2020.11.019
E. H. Aly, I. Pop. MHD flow and heat transfer near stagnation point over a stretching/shrinking surface with partial slip and viscous dissipation: Hybrid nanofluid versus nanofluid. Powder Technology 367:192–205, 2020. https://doi.org/10.1016/j.powtec.2020.03.030
S. Chaudhary, K. M. Kanika. Heat generation/absorption and radiation effects on hydromagnetic stagnation point flow of nanofluids toward a heated porous stretching/shrinking sheet with suction/injection. Journal of Porous Media 23(1):27–49, 2020. https://doi.org/10.1615/JPorMedia.2019026922
A. Hajatzadeh Pordanjani, S. Aghakhani, A. Karimipour, et al. Investigation of free convection heat transfer and entropy generation of nanofluid flow inside a cavity affected by magnetic field and thermal radiation. Journal of Thermal Analysis and Calorimetry 137(3):997–1019, 2019. https://doi.org/10.1007/s10973-018-7982-4
M. Sheikholeslami. Numerical simulation of magnetic nanofluid natural convection in porous media. Physics Letters A 381(5):494–503, 2017. https://doi.org/10.1016/j.physleta.2016.11.042
B. Mahanthesh, B. J. Gireesha, R. S. R. Gorla, O. D. Makinde. Magnetohydrodynamic three-dimensional flow of nanofluids with slip and thermal radiation over a nonlinear stretching sheet: A numerical study. Neural Computing and Applications 30(5):1557–1567, 2018. https://doi.org/10.1007/s00521-016-2742-5
A. M. Sedki, S. M. Abo-Dahab, J. Bouslimi, K. H. Mahmoud. Thermal radiation effect on unsteady mixed convection boundary layer flow and heat transfer of nanofluid over permeable stretching surface through porous medium in the presence of heat generation. Science Progress 104(3):00368504211042261, 2021. https://doi.org/10.1177/00368504211042261
M. A. Xenos, E. N. Petropoulou, A. Siokis, U. S. Mahabaleshwar. Solving the nonlinear boundary layer flow equations with pressure gradient and radiation. Symmetry 12(5):710, 2020. https://doi.org/10.3390/sym12050710
E. H. Aly, A. Ebaid. MHD marangoni boundary layer problem for hybrid nanofluids with thermal radiation. International Journal of Numerical Methods for Heat & Fluid Flow 31(3):897–913, 2021. https://doi.org/10.1108/HFF-05-2020-0245
S. Sivasankaran, M. Bhuvaneswari, T. Chandrapushpam, S. Karthikeyan. Influence of thermal radiation on squeezing flow of copper-water nanofluid between parallel plates. Materials Today: Proceedings 42:457–464, 2021. https://doi.org/10.1016/j.matpr.2020.10.184
G. K. Ramesh, B. C. Prasannakumara, B. J. Gireesha, et al. Three dimensional flow of Maxwell fluid with suspended nanoparticles past a bidirectional porous stretching surface with thermal radiation. Thermal Science and Engineering Progress 1:6–14, 2017. https://doi.org/10.1016/j.tsep.2017.02.006
M. R. Eid, O. D. Makinde. Solar radiation effect on a magneto nanofluid flow in a porous medium with chemically reactive species. International Journal of Chemical Reactor Engineering 16(9):20170212, 2018. https://doi.org/10.1515/ijcre-2017-0212
S. Hazarika, S. Ahmed, A. J. Chamkha. Investigation of nanoparticles Cu, Ag and Fe3O4 on thermophoresis and viscous dissipation of MHD nanofluid over a stretching sheet in a porous regime: A numerical modeling. Mathematics and Computers in Simulation 182:819–837, 2021. https://doi.org/10.1016/j.matcom.2020.12.005
M. D. Shamshuddin, A. Abderrahmane, A. Koulali, et al. Thermal and solutal performance of Cu/CuO nanoparticles on a non-linear radially stretching surface with heat source/sink and varying chemical reaction effects. International Communications in Heat and Mass Transfer 129:105710, 2021. https://doi.org/10.1016/j.icheatmasstransfer.2021.105710
M. C. Krishna Reddy, M. Gundagani, S. Sheri, N. V. N. Babu. Heat and mass transfer effects on unsteady MHD free convection flow past a vertical permeable moving plate with radiation. International Journal of Applied Mathematical Research 1(2):189–205, 2012. https://doi.org/10.14419/ijamr.v1i2.45
M. Gundagani, A. Paul, N. V. N. Babu. Heat and mass transfer effects on an unsteady hydromagnetic free convective flow over an infinite vertical plate embedded in a porous medium with heat absorption. International Journal of Open Problems in Computer Science and Mathematics 8(1):15–27, 2015. https://doi.org/10.12816/0010706
D. Gadially, M. Gundagani. Analysis of soret and dufour effects on unsteady MHD convective flow past a semi-infinite vertical porous plate via finite difference method. International Journal of Applied Physics and Mathematics 4(5):332–344, 2014. https://doi.org/10.7763/IJAPM.2014.V4.306
M. Gundagani, A. Paul, N. V. N. Babu. Numerical study of chemical reaction effects on unsteady MHD fluid flow past an infinite vertical plate embedded in a porous medium with variable suction. Electronic Journal of Mathematical Analysis and Applications 3(2):179–192, 2015. https://doi.org/10.21608/ejmaa.2015.310762
N. V. N. Babu, A. Paul, M. Gundagani. Soret and Dufour effects on unsteady hydromagnetic free convective fluid flow past an infinite vertical porous plate in the presence of chemical reaction. Journal of Science and Arts 1(30):99–111, 2015.
M. Gundagani, S. Sheri, N. V. N. Babu, M. C. Krishna Reddy. Finite element solution of thermal radiation effect on unsteady MHD flow past a vertical porous plate with variable suction. American Academic & Scholarly Research Journal 4(3):3–22, 2012.
N. V. N. Babu, M. Gundagani, S. M. Bhati. Casson fluid performance on natural convective dissipative couette flow past an infinite vertically inclined plate filled in porous medium with heat transfer, MHD and hall current effects. International Journal of Pharmaceutical Research 10(4):809–819, 2018.
M. Gundagani, S. Sheri, A. Paul, M. C. Krishna Reddy. Radiation effects on an unsteady MHD convective flow past a semi-infinite vertical permeable moving plate embedded in a porous medium with viscous dissipation. Walailak Journal of Science and Technology 10(5):499–515, 2013.
M. Gundagani, S. Sheri, A. Paul, M. C. Krishna Reddy. Unsteady magnetohydrodynamic free convective flow past a vertical porous plate. International Journal of Applied Science and Engineering 11(3):267–275, 2013.
M. Gundagani, D. Gadially, V. Nirmala Kasturi, P. K. Tanuku. Joint effects of thermal diffusion and diffusion thermo on MHD three dimensional nanofluid flow towards a stretching sheet. Mathematical Models in Engineering 9(4):130–143, 2023. https://doi.org/10.21595/mme.2023.23590
M. Gundagani, N. V. N. Babu, D. Gadially, et al. Study of Nano-Powell-Erying fluid flow past a porous stretching sheet by the effects of MHD, thermal and mass convective boundary conditions. Journal of Umm Al-Qura University for Engineering and Architecture 15(3):271–281, 2024. https://doi.org/10.1007/s43995-024-00056-2
M. Gundagani, L. P. Mamidi, P. K. Tanuku. Finite element solutions of double diffusion effects on three-dimensional MHD Nano-Powell-Erying fluid flow in presence of thermal and mass Biot numbers. Journal of Engineering and Applied Science 71(1):9, 2024. https://doi.org/10.1186/s44147-023-00347-w
D. Gadially, M. Gundagani. Effects of viscous dissipation on unsteady MHD free convective flow with thermophoresis past a radiate inclined permeable plate. Iranian Journal of Science 38(3.1):379–388, 2014. https://doi.org/10.22099/ijsts.2014.2437
S. A. A. Shah, N. A. Ahammad, E. M. T. E. Din, et al. Bio-convection effects on Prandtl hybrid nanofluid flow with chemical reaction and motile microorganism over a stretching sheet. Nanomaterials 12(13):2174, 2022. https://doi.org/10.3390/nano12132174
S. Nadeem, R. U. Haq, N. S. Akbar, Z. H. Khan. MHD three-dimensional Casson fluid flow past a porous linearly stretching sheet. Alexandria Engineering Journal 52(4):577–582, 2013. https://doi.org/10.1016/j.aej.2013.08.005
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