Effects of Activation Energy and Diffusion Thermo an Unsteady MHD Maxwell Fluid Flow over a Porous Vertical Stretched Sheet in the Presence of Thermophoresis and Brownian Motion

Authors

  • Aruna Ganjikunta Department of Mathematics, GITAM University, Hyderabad, Telangana, Pincode- 502329, India
  • Bhagya Lakshmi Kuntumalla Department of Mathematics, CMR Technical Campus, Kandlakoya (village), Medchal, Hyderabad, Telangana, Pincode-500059, India
  • Ramachandra Reddy Vaddemani Department of Humanities and Sciences, K.S.R.M College of Engineering, Kadapa, Aandra Pradesh, Pin-516005, India

DOI:

https://doi.org/10.37934/cfdl.16.12.1837

Keywords:

Mixed convective flow, Maxwell fluid, Nonlinear thermal radiation, porous sheet

Abstract

This article discusses the effects of Activation energy and Diffusion thermo on an unsteady MHD flow of an electrically conducting Maxwell Nanofluid over a stretching sheet in a porous medium in the presence of thermophoresis and Brownian motion. Using the similarity transformations, the partial differential equations corresponding to the momentum, energy, and concentration equations are transformed into a system of nonlinear ordinary differential equations, which are solved numerically using a RungeKutta fourth-order method along with the shooting technique, and the results obtained for different governing flow parameters are drawn graphically, and their effects on velocity, temperature, and concentration profiles are discussed. The values of the skin friction coefficient, Nusselt number coefficient, and Sherwood number coefficient are presented in the table. A comparison with previously reported data is made, and an excellent agreement is noted. The objective of the present study is to use the Activation energy and Diffusion thermo parameters to increase the concentration of chemical species on the boundary layer and temperature, respectively. The temperature of the fluid increases as the radiation parameter, Brownian motion, thermophoresis, and magnetic parameters increase.

Author Biographies

Aruna Ganjikunta, Department of Mathematics, GITAM University, Hyderabad, Telangana, Pincode- 502329, India

aganjiku@gitam.edu

Bhagya Lakshmi Kuntumalla, Department of Mathematics, CMR Technical Campus, Kandlakoya (village), Medchal, Hyderabad, Telangana, Pincode-500059, India

bhagyalakshmi.hns@cmrtc.ac.in

Ramachandra Reddy Vaddemani, Department of Humanities and Sciences, K.S.R.M College of Engineering, Kadapa, Aandra Pradesh, Pin-516005, India

vrcreddymaths77@gmail.com

References

Zierep, J., and Constantin Fetecau. "Energetic balance for the Rayleigh–Stokes problem of a Maxwell fluid." International Journal of Engineering Science 45, no. 2-8 (2007): 617-627.

Fetecau, Corina, M. Athar, and Constantin Fetecau. "Unsteady flow of a generalized Maxwell fluid with fractional derivative due to a constantly accelerating plate." Computers & Mathematics with Applications 57, no. 4 (2009): 596-603.

Renardy, Michael, and Xiaojun Wang. "Boundary layers for the upper convected Maxwell fluid." Journal of Non-Newtonian Fluid Mechanics 189 (2012): 14-18.

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, 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

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

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.

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

Raghunath, Kodi, and Ravuri Mohanaramana. "Hall, Soret, and rotational effects on unsteady MHD rotating flow of a second-grade fluid through a porous medium in the presence of chemical reaction and aligned magnetic field." International Communications in Heat and Mass Transfer 137 (2022): 106287.. https://doi.org/10.1016/j.icheatmasstransfer.2022.106287.

Kodi, Raghunath, Mohanaramana Ravuri, Nagesh Gulle, Charankumar Ganteda, Sami Ullah Khan, and M. Ijaz Khan. "Hall and ion slip radiative flow of chemically reactive second grade through porous saturated space via perturbation approach." Waves in Random and Complex Media (2022): 1-17. https://doi.org/10.1080/17455030.2022.2108555

Vaddemani, Ramachandra Reddy, Sreedhar Ganta, and Raghunath Kodi. "Effects of hall current, activation energy and diffusion thermo of MHD Darcy-Forchheimer Casson nanofluid flow in the presence of Brownian motion and thermophoresis." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 105, no. 2 (2023): 129-145. https://doi.org/10.37934/arfmts.105.2.129145

Hsiao KL. Combined electrical MHD heat transfer thermal extrusion system using Maxwell fluid with radiative and viscous dissipation effects. ApplThermEng (2017) 112: 1281–8.

Reddy, N. Keerthi, HA Kumara Swamy, and M. Sankar. "Buoyant convective flow of different hybrid nanoliquids in a non-uniformly heated annulus." The European Physical Journal Special Topics 230 (2021): 1213-1225.

Venkata Ramudu, Ankalagiri Chinna, Kempannagari Anantha Kumar, Vangala Sugunamma, and Naramgari Sandeep. "Heat and mass transfer in MHD Casson nanofluid flow past a stretching sheet with thermophoresis and Brownian motion." Heat Transfer 49, no. 8 (2020): 5020-5037.

Cheng, Ching-Yang. "Soret and Dufour effects on free convection heat and mass transfer from an arbitrarily inclined plate in a porous medium with constant wall temperature and concentration." International Communications in Heat and Mass Transfer 39, no. 1 (2012): 72-77.

Hayat, Tasawar, Muhammad Ijaz Khan, Muhammad Waqas, and Ahmed Alsaedi. "Stagnation point flow of hyperbolic tangent fluid with Soret-Dufour effects." Results in physics 7 (2017): 2711-2717.

Hayat, T., M. Mustafa, and I. Pop. "Heat and mass transfer for Soret and Dufour’s effect on mixed convection boundary layer flow over a stretching vertical surface in a porous medium filled with a viscoelastic fluid." Communications in Nonlinear Science and Numerical Simulation 15, no. 5 (2010): 1183-1196.

Postelnicu, Adrian. "Influence of a magnetic field on heat and mass transfer by natural convection from vertical surfaces in porous media considering Soret and Dufour effects." International Journal of heat and mass transfer 47, no. 6-7 (2004): 1467-1472.

Kafoussias, N. G., and E. W. Williams. "Thermal-diffusion and diffusion-thermo effects on mixed free-forced convective and mass transfer boundary layer flow with temperature dependent viscosity." International Journal of Engineering Science 33, no. 9 (1995): 1369-1384.

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

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

K. Raghunath, G. Nagesh, V. Ramachandra Reddy, and M. Obulesu. "Unsteady MHD fluid flow past an inclined vertical porous plate in the presence of chemical reaction with aligned magnetic field, radiation, and Soret effects." Heat Transfer 51, no. 3 (2022): 2742-2760. https://doi.org/10.1002/htj.22423

Vaddemani, Ramachandra Reddy, Raghunath Kodi, and Obulesu Mopuri. "Characteristics of MHD Casson fluid past an inclined vertical porous plate." Materials Today: Proceedings 49 (2022): 2136-2142. https://doi.org/10.1016/j.matpr.2021.08.328

Kodi, Raghunath, Ramachandra Reddy Vaddemani, and Obulesu Mopuri. "Effects of radiation absorption and aligned magnetic field on MHD Cassion fluid past an inclined vertical porous plate in porous media." Simulation and Analysis of Mathematical Methods in Real‐Time Engineering Applications (2021): 273-291. https://doi.org/10.1002/9781119785521.ch12

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

Downloads

Published

2024-07-21

How to Cite

Aruna Ganjikunta, Bhagya Lakshmi Kuntumalla, & Vaddemani, R. R. (2024). Effects of Activation Energy and Diffusion Thermo an Unsteady MHD Maxwell Fluid Flow over a Porous Vertical Stretched Sheet in the Presence of Thermophoresis and Brownian Motion. CFD Letters, 16(12), 18–37. https://doi.org/10.37934/cfdl.16.12.1837

Issue

Section

Articles