Three-dimensional MHD Mixed Convention Upper Convective Flow of Maxwell Fluid Throughout the Past in Thermophoresis and Brownian Motion with the Effects of Diffusion Thermo and Thermal Diffusion Utilizing Nonlinear Radiative Heat Flux

Authors

  • Rameswara Reddy Yeddula Department of Mechanical engineering, JNTUA College of Engineering Pulivendula-516390, Constitute College of Jawaharlal Nehru Technological University Anantapur , Ananthapuramu, A.P, India
  • Srinivasan Donti Ratnam Department of Mechanical Engineering, JNTUA College of Engineering Kalikiri-517234, Constitute college of Jawaharlal Nehru Technological University Anantapur, Ananthapuramu, A.P, India

DOI:

https://doi.org/10.37934/cfdl.16.5.135153

Keywords:

Thermal Radiation, MHD, Maxwell fluid, Brownian motion, thermophoresis

Abstract

This article aims to investigate the impact of nanoparticles and magnetohydrodynamics (MHD) on the transfer of heat and mass using a three-dimensional upper-convected Maxwell (UCM) nanofluid flow across a stretched surface. A nonlinear radiative heat flow was included in formulating the equation that describes energy. The nonlinear partial differential equations of the issue are transformed into ordinary differential equations utilizing the similarity transformation. These equations are then solved using the well-known shooting approach in conjunction with the Runge-Kutta integration process of order four. To increase the dependability of our findings make use of the MATLAB. On the velocities, temperatures, and concentrations of the particles, the graphical and numerical representations of the effects of the main parameters, such as the Dufour parameter, the Brownian motion parameter, the Prandtl number, the thermophoresis parameter, and the magnetic parameter, are presented. It has been shown that the flow velocity decreases as a function of both the linear and nonlinear thermal radiation parameters. In addition, increasing values of the Brownian motion parameter have the effect of reducing the nanoparticle concentration profile, the same behavior has observed in the case of thermal diffusion and Diffusion thermo parameters.

Author Biographies

Rameswara Reddy Yeddula, Department of Mechanical engineering, JNTUA College of Engineering Pulivendula-516390, Constitute College of Jawaharlal Nehru Technological University Anantapur , Ananthapuramu, A.P, India

vrcreddymaths77@gmail.com

Srinivasan Donti Ratnam, Department of Mechanical Engineering, JNTUA College of Engineering Kalikiri-517234, Constitute college of Jawaharlal Nehru Technological University Anantapur, Ananthapuramu, A.P, India

mech@jntua.ac.in

References

Bird, Robert Byron, Robert Calvin Armstrong, and Ole Hassager. "Dynamics of polymeric liquids. Vol. 1: Fluid mechanics." (1987).

Fosdick, R. L., and K. R. Rajagopal. "Anomalous features in the model of “second order fluids”." Archive for Rational Mechanics and Analysis 70 (1979): 145-152. https://doi.org/10.1007/BF00250351

Hayat, T., Z. Abbas, and M. Sajid. "Series solution for the upper-convected Maxwell fluid over a porous stretching plate." Physics Letters A 358, no. 5-6 (2006): 396-403. https://doi.org/10.1016/j.physleta.2006.04.117

Sadeghy, Kayvan, Amir-Hosain Najafi, and Meghdad Saffaripour. "Sakiadis flow of an upper-convected Maxwell fluid." International Journal of Non-Linear Mechanics 40, no. 9 (2005): 1220-1228. https://doi.org/10.1016/j.ijnonlinmec.2005.05.006

Rajagopal, Kumbakonam R., A. S. Gupta, and Alan S. Wineman. "On a boundary layer theory for non-Newtonian fluids." International Journal of Engineering Science 18, no. 6 (1980): 875-883. https://doi.org/10.1016/0020-7225(80)90035-X

Mohamadali, Meysam, and Nariman Ashrafi. "Similarity solution for high Weissenberg number flow of upper-convected maxwell fluid on a linearly stretching sheet." Journal of Engineering 2016 (2016). https://doi.org/10.1155/2016/9718786

Mushtaq, A., S. Abbasbandy, M. Mustafa, T. Hayat, and A. Alsaedi. "Numerical solution for Sakiadis flow of upper-convected Maxwell fluid using Cattaneo-Christov heat flux model." AIP Advances 6, no. 1 (2016). https://doi.org/10.1063/1.4940133

Omowaye, Adeola John, and Isaac Lare Animasaun. "Upper-convected maxwell fluid flow with variable thermo-physical properties over a melting surface situated in hot environment subject to thermal stratification." Journal of applied fluid mechanics 9, no. 4 (2016): 1777-1790. https://doi.org/10.18869/acadpub.jafm.68.235.24939

Krupalakshmi, Koneri L., Bijjanal J. Gireesha, Basavarajappa Mahanthesh, and Rama Subba Reddy Gorla. "Influence of nonlinear thermal radiation and Magnetic field on upper-convected Maxwell fluid flow due to a convectively heated stretching sheet in the presence of dust particles." Communications in Numerical Analysis 1 (2016): 57-73. https://doi.org/10.5899/2016/cna-00254

I. Waini, N. A. Zainal, and N. S. Khashi’ie, “Aligned magnetic field effects on flow and heat transfer of the upper-convected Maxwell fluid over a stretching/shrinking sheet,” MATEC Web Conferences, vol. 97, p. 01078, 2017. https://doi.org/10.1051/matecconf/20179701078

Bilal, M., M. Sagheer, and S. Hussain. "On MHD 3D upper convected Maxwell fluid flow with thermophoretic effect using nonlinear radiative heat flux." Canadian Journal of Physics 96, no. 1 (2018): 1-10. https://doi.org/10.1139/cjp-2017-0250

Raghunath, Kodi, Ravuri Mohana Ramana, Charankumar Ganteda, Prem Kumar Chaurasiya, Damodar Tiwari, Rajan Kumar, Dharam Buddhi, and Kuldeep Kumar Saxena. "Processing to pass unsteady MHD flow of a second-grade fluid through a porous medium in the presence of radiation absorption exhibits Diffusion thermo, hall and ion slip effects." Advances in Materials and Processing Technologies (2023): 1-18. https://doi.org/10.1080/2374068X.2023.2191450

Kodi, Raghunath, Charankumar Ganteda, Abhishek Dasore, M. Logesh Kumar, G. Laxmaiah, Mohd Abul Hasan, Saiful Islam, and Abdul Razak. "Influence of MHD mixed convection flow for maxwell nanofluid through a vertical cone with porous material in the existence of variable heat conductivity and diffusion." Case Studies in Thermal Engineering 44 (2023): 102875. https://doi.org/10.1016/j.csite.2023.102875

Raghunath, Kodi, Mopuri Obulesu, and Konduru Venkateswara Raju. "Radiation absorption on MHD free conduction flow through porous medium over an unbounded vertical plate with heat source." International Journal of Ambient Energy (2023): 1-9. https://doi.org/10.1080/01430750.2023.2181869

Li, Shuguang, Kodi Raghunath, Ayman Alfaleh, Farhan Ali, A. Zaib, M. Ijaz Khan, Sayed M. ElDin, and V. Puneeth. "Effects of activation energy and chemical reaction on unsteady MHD dissipative Darcy–Forchheimer squeezed flow of Casson fluid over horizontal channel." Scientific Reports 13, no. 1 (2023): 2666.. https://doi.org/10.1038/s41598-023-29702-w

Suresh Kumar, Y., Shaik Hussain, K. Raghunath, Farhan Ali, Kamel Guedri, Sayed M. Eldin, and M. Ijaz Khan. "Numerical analysis of magnetohydrodynamics Casson nanofluid flow with activation energy, Hall current and thermal radiation." Scientific Reports 13, no. 1 (2023): 4021. https://doi.org/10.1038/s41598-023-28379-5

Ganjikunta, Aruna, Hari Babu Kommaddi, Venkateswarlu Bhajanthri, and Raghunath Kodi. "An unsteady MHD flow of a second‐grade fluid passing through a porous medium in the presence of radiation absorption exhibits Hall and ion slip effects." Heat Transfer 52, no. 1 (2023): 780-806. https://doi.org/10.1002/htj.22716

Pantokratoras, Asterios, and Tiegang Fang. "Sakiadis flow with nonlinear Rosseland thermal radiation." Physica Scripta 87, no. 1 (2012): 015703. https://doi.org/10.1088/0031-8949/87/01/015703

Kodi, Raghunath, Mohana Ramana Ravuri, V. Veeranna, M. Ijaz Khan, Sherzod Abdullaev, and Nissren Tamam. "Hall current and thermal radiation effects of 3D rotating hybrid nanofluid reactive flow via stretched plate with internal heat absorption." Results in Physics 53 (2023): 106915. https://doi.org/10.1016/j.rinp.2023.106915

Kodi, Raghunath, Ramachandra Reddy Vaddemani, M. Ijaz Khan, Sherzod Shukhratovich Abdullaev, Attia Boudjemline, Mohamed Boujelbene, and Yassine Bouazzi. "Unsteady magneto-hydro-dynamics flow of Jeffrey fluid through porous media with thermal radiation, Hall current and Soret effects." Journal of Magnetism and Magnetic Materials 582 (2023): 171033. https://doi.org/10.1016/j.jmmm.2023.171033

Raghunath, Kodi. "Study of Heat and Mass Transfer of an Unsteady Magnetohydrodynamic (MHD) Nanofluid Flow Past a Vertical Porous Plate in the Presence of Chemical Reaction, Radiation and Soret Effects." Journal of Nanofluids 12, no. 3 (2023): 767-776. https://doi.org/10.1166/jon.2023.1923

Raghunath, K., R. Mohana Ramana, V. Ramachandra Reddy, and M. Obulesu. "Diffusion Thermo and Chemical Reaction Effects on Magnetohydrodynamic Jeffrey Nanofluid Over an Inclined Vertical Plate in the Presence of Radiation Absorption and Constant Heat Source." Journal of Nanofluids 12, no. 1 (2023): 147-156. https://doi.org/10.1166/jon.2023.1923

Maatoug, Samah, K. Hari Babu, V. V. L. Deepthi, Kaouther Ghachem, Kodi Raghunath, Charankumar Ganteda, and Sami Ullah Khan. "Variable chemical species and thermo-diffusion Darcy–Forchheimer squeezed flow of Jeffrey nanofluid in horizontal channel with viscous dissipation effects." Journal of the Indian Chemical Society 100, no. 1 (2023): 100831. https://doi.org/10.1016/j.jics.2022.100831

Bafakeeh, Omar T., Kodi Raghunath, Farhan Ali, Muhammad Khalid, El Sayed Mohamed Tag-ElDin, Mowffaq Oreijah, Kamel Guedri, Nidhal Ben Khedher, and Muhammad Ijaz Khan. "Hall current and Soret effects on unsteady MHD rotating flow of second-grade fluid through porous media under the influences of thermal radiation and chemical reactions." Catalysts 12, no. 10 (2022): 1233. https://doi.org/10.3390/catal12101233.

Deepthi, V. V. L., Maha MA Lashin, N. Ravi Kumar, Kodi Raghunath, Farhan Ali, Mowffaq Oreijah, Kamel Guedri, El Sayed Mohamed Tag-ElDin, M. Ijaz Khan, and Ahmed M. Galal. "Recent development of heat and mass transport in the presence of Hall, ion slip and thermo diffusion in radiative second grade material: application of micromachines." Micromachines 13, no. 10 (2022): 1566. https://doi.org/10.3390/mi13101566.

Ramzan, Muhammad, and Muhammad Bilal. "Time dependent MHD nano-second grade fluid flow induced by permeable vertical sheet with mixed convection and thermal radiation." PloS one 10, no. 5 (2015): e0124929. https://doi.org/10.1371/journal.pone.0124929

Ibrahim, Wubshet. "Nonlinear radiative heat transfer in magnetohydrodynamic (MHD) stagnation point flow of nanofluid past a stretching sheet with convective boundary condition." Propulsion and Power Research 4, no. 4 (2015): 230-239. https://doi.org/10.1016/j.jppr.2015.07.007

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Published

2024-01-11

How to Cite

Vaddemani, D. R., & Srinivasan Donti Ratnam. (2024). Three-dimensional MHD Mixed Convention Upper Convective Flow of Maxwell Fluid Throughout the Past in Thermophoresis and Brownian Motion with the Effects of Diffusion Thermo and Thermal Diffusion Utilizing Nonlinear Radiative Heat Flux. CFD Letters, 16(5), 135–153. https://doi.org/10.37934/cfdl.16.5.135153

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