Characteristics of MHD Jeffery Fluid Past an Inclined Vertical Porous Plate

Authors

  • Obulesu Mopuri Department of Mathematics, Ramireddy Subbarami Reddy Engineering College (Autonomous) , Kadanuthala (V)-524142, S.P.S.R. Nellore (Dist), Andhra Pradesh, India
  • A.Sailakumari Department of Mathematics , JNTUA College of Engineering, Anantapur-515002 ,Andhra Pradesh, India
  • Aruna Ganjikunta Departments of Mathematics, GITAM University, Hyderabad-502329, Telangana State, India
  • Sudhakara E Departments of Mathematics, Government Degree College, Vempalli - 516 329,A.P., India
  • VenkateswaraRaju K Department of Science &Humanities (Mathematics), Sri Venkateswarara College of Engineering (Autonomous), Karakambodi Road, Tirupati-, India
  • Ramesh P Department of Civil Engineering, Siddharth Institute of Engineering &Technology (Autonomous), Puttur-517583, A.P., India
  • Charankumar Ganteda Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram 522301, Andhra Pradesh, India
  • B.Ramakrishna Reddy Gokaraju Rangaraju institute of Engineering and Technology ,Hyderabad
  • S. V. K. Varma Department of Mathematics, School of Applied Sciences, REVA University, Bengaluru, Karnataka, India

DOI:

https://doi.org/10.37934/cfdl.16.6.6889

Keywords:

Jeffery parameter, MHD, slip flow regime

Abstract

This paper is concerned with the study of an unsteady, MHD natural convective boundary layer flow of a viscous, incompressible and electrically conducting, non-Newtonian Jeffery fluid over a semi-infinite vertically inclined permeable moving plate embedded in a porous medium in the presence of thermal radiation, heat absorption and thermal diffusion, heat and mass transfer. . The permeability of the porous medium and the suction velocity are considered to be an exponentially decreasing function of time. The fundamental governing equations for this investigation are solved numerically using the perturbation technique. The results are presented graphically and in tabular form for various controlling parameters. The behavior of different physical parameters is shown graphically. The numerical values of Skin friction, Nusselt number, and Sherwood number are presented in a tabular form. Obtained outcomes are compared with earlier studies in the special case and strong agreement is noted. From graphical representation, it is concluded that velocity and temperature distribution increases with the mixed convection parameter and buoyancy force parameter. An increasing value of magnetic field parameter, slip parameter, and Jeffery parameter tends to reduced velocity and also raising the values of Prandtl number, radiation parameter and heat absorption parameter tends to downfallen temperature profiles. This study may be useful in several industrial applications, for example, polymer production, manufacturing of ceramics or glassware and food processing, and so forth.

Downloads

Download data is not yet available.

Author Biographies

Obulesu Mopuri, Department of Mathematics, Ramireddy Subbarami Reddy Engineering College (Autonomous) , Kadanuthala (V)-524142, S.P.S.R. Nellore (Dist), Andhra Pradesh, India

mopuriobulesu1982@gmail.com

Aruna Ganjikunta, Departments of Mathematics, GITAM University, Hyderabad-502329, Telangana State, India

aganjiku@gitam.edu

Sudhakara E, Departments of Mathematics, Government Degree College, Vempalli - 516 329,A.P., India

drsudhakar12@gmail.com

VenkateswaraRaju K, Department of Science &Humanities (Mathematics), Sri Venkateswarara College of Engineering (Autonomous), Karakambodi Road, Tirupati-, India

venkateswararaju.k@svcolleges.edu.in

Ramesh P, Department of Civil Engineering, Siddharth Institute of Engineering &Technology (Autonomous), Puttur-517583, A.P., India

rameshparlapalli65@gmail.com

Charankumar Ganteda, Department of Engineering Mathematics, College of Engineering, Koneru Lakshmaiah Education Foundation, Vaddeswaram 522301, Andhra Pradesh, India

charankumarganteda@kluniversity.in

References

Hayat, T., Gulnaz Bashir, M. Waqas, and A. Alsaedi. "MHD flow of Jeffrey liquid due to a nonlinear radially stretched sheet in presence of Newtonian heating." Results in Physics 6 (2016): 817-823. https://doi.org/10.1016/j.rinp.2016.10.001

Rao, M. Eswara, and S. Sreenadh. "MHD boundary layer flow of Jeffrey fluid over a stretching/shrinking sheet through porous medium." Global Journal of Pure and Applied Mathematics 13, no. 8 (2017): 3985-4001.

Hayat, Tasawar, Rai Sajjad Saif, Rahmat Ellahi, Taseer Muhammad, and Ahmed Alsaedi. "Simultaneous effects of melting heat and internal heat generation in stagnation point flow of Jeffrey fluid towards a nonlinear stretching surface with variable thickness." International Journal of Thermal Sciences 132 (2018): 344-354. https://doi.org/10.1016/j.ijthermalsci.2018.05.047

Rana, M. A., Y. Ali, and M. Shoaib. "Three-dimensional Couette flow of a Jeffrey fluid along periodic injection/suction." Arabian Journal of Mathematics 7 (2018): 229-247. https://doi.org/10.1007/s40065-018-0205-9

Imran, M. A., Fizza Miraj, I. Khan, and I. Tlili. "MHD fractional Jeffrey’s fluid flow in the presence of thermo diffusion, thermal radiation effects with first order chemical reaction and uniform heat flux." Results in Physics 10 (2018): 10-17. https://doi.org/10.1016/j.rinp.2018.04.008

Vasu, B., Atul Kumar Ray, and Rama SR Gorla. "Free convective heat transfer in Jeffrey fluid with suspended nanoparticles and Cattaneo–Christov heat flux." Proceedings of the Institution of Mechanical Engineers, Part N: Journal of Nanomaterials, Nanoengineering and Nanosystems 234, no. 3-4 (2020): 99-114. https://doi.org/10.1177/2397791420912628

Das, Kalidas, Nilangshu Acharya, and Prabir Kumar Kundu. "Radiative flow of MHD Jeffrey fluid past a stretching sheet with surface slip and melting heat transfer." Alexandria Engineering Journal 54, no. 4 (2015): 815-821. https://doi.org/10.1016/j.aej.2015.06.008

Qasim, M. "Heat and mass transfer in a Jeffrey fluid over a stretching sheet with heat source/sink." Alexandria Engineering Journal 52, no. 4 (2013): 571-575. https://doi.org/10.1016/j.aej.2013.08.004

Sreenadh, S., K. Komala, and A. N. S. Srinivas. "Peristaltic pumping of a power–Law fluid in contact with a Jeffrey fluid in an inclined channel with permeable walls." Ain Shams Engineering Journal 8, no. 4 (2017): 605-611. https://doi.org/10.1016/j.asej.2015.08.019

Zeeshan, A., and A. Majeed. "Heat transfer analysis of Jeffery fluid flow over a stretching sheet with suction/injection and magnetic dipole effect." Alexandria engineering journal 55, no. 3 (2016): 2171-2181. https://doi.org/10.1016/j.aej.2016.06.014

KohilavaniNaganthran, RoslindaNazar , Ioan Pop: Effects of heat generation/absorption in the Jefrey fluid past a permeable stretching/shrinking disc, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 41, Article number: 414 [2019). https://doi.org/10.1007/s40430-019-1942-1

Lu, Dian-Chen, M. Ramzan, M. Bilal, Jae Dong Chung, and Umer Farooq. "Upshot of chemical species and nonlinear thermal radiation on Oldroyd-B nanofluid flow past a bi-directional stretched surface with heat generation/absorption in a porous media." Communications in Theoretical Physics 70, no. 1 (2018): 071. https://doi.org/10.1088/0253-6102/70/1/71

Suleman, Muhammad, Muhammad Ramzan, Madiha Zulfiqar, Muhammad Bilal, Ahmad Shafee, Jae Dong Chung, Dianchen Lu, and Umer Farooq. "Entropy analysis of 3D non-Newtonian MHD nanofluid flow with nonlinear thermal radiation past over exponential stretched surface." Entropy 20, no. 12 (2018): 930. https://doi.org/10.3390/e20120930

Raju, K. Venkateswara, A. Parandhama, M. C. Raju, and K. Ramesh Babu. "Unsteady MHD Mixed Convection Flow of Jeffrey Fluid Past a Radiating Inclined Permeable Moving Plate in the Presence of Thermophoresis Heat Generation and Chemical Reaction." Journal of Ultra Scientist of Physical Sciences-Section A (Mathematics) 30, no. 1 (2018). https://doi.org/10.22147/jusps-A/300107

Cui, Yong, Yiping Wang, Qunwu Huang, and Shichao Wei. "Effect of radiation and convection heat transfer on cooling performance of radiative panel." Renewable Energy 99 (2016): 10-17. https://doi.org/10.1016/j.renene.2016.06.025

Jha, Basant K., B. Y. Isah, and I. J. Uwanta. "Unsteady MHD free convective Couette flow between vertical porous plates with thermal radiation." Journal of King Saud University-Science 27, no. 4 (2015): 338-348. https://doi.org/10.1016/j.jksus.2015.06.005

Patel, Harshad R. "Thermal radiation effects on MHD flow with heat and mass transfer of micropolar fluid between two vertical walls." International Journal of Ambient Energy 42, no. 11 (2021): 1281-1296. https://doi.org/10.1080/01430750.2019.1594371

Kataria, HariR, and HarshadR Patel. "Heat and mass transfer in magnetohydrodynamic (MHD) Casson fluid flow past over an oscillating vertical plate embedded in porous medium with ramped wall temperature." Propulsion and Power Research 7, no. 3 (2018): 257-267. https://doi.org/10.1016/j.jppr.2018.07.003

Patel, Harshad R. "Effects of cross diffusion and heat generation on mixed convective MHD flow of Casson fluid through porous medium with non-linear thermal radiation." Heliyon 5, no. 4 (2019). https://doi.org/10.1016/j.heliyon.2019.e01555

Hsiao, Kai-Long. "Combined electrical MHD heat transfer thermal extrusion system using Maxwell fluid with radiative and viscous dissipation effects." Applied Thermal Engineering 112 (2017): 1281-1288. https://doi.org/10.1016/j.applthermaleng.2016.08.208

Raptis, A. "Radiation and free convection flow through a porous medium." International Communications in Heat and Mass Transfer 25, no. 2 (1998): 289-295. https://doi.org/10.1016/S0735-1933(98)00016-5

Makinde, Oluwole D. "Free convection flow with thermal radiation and mass transfer past a moving vertical porous plate." International Communications in Heat and Mass Transfer 32, no. 10 (2005): 1411-1419. https://doi.org/10.1016/j.icheatmasstransfer.2005.07.005

Raghunath, K., M. Obulesu, and R. Sivaprasad. "Heat and mass transfer on an unsteady MHD flow through porous medium between two porous vertical plates." In AIP Conference Proceedings, vol. 2220, no. 1. AIP Publishing, 2020. https://doi.org/10.1063/5.0001103

Raju, M. C., and Raju KVS. "MHD Casson fluid flow through a vertical plate." Journal of Computational & Applied Research in Mechanical Engineering (JCARME) 9, no. 2 (2020): 343-350.

Srinivasacharya, D., and G. Swamy Reddy. "Chemical reaction and radiation effects on mixed convection heat and mass transfer over a vertical plate in power-law fluid saturated porous medium." Journal of the Egyptian Mathematical Society 24, no. 1 (2016): 108-115. https://doi.org/10.1016/j.joems.2014.10.001

Pattnaik, Jyotsna Rani, Gouranga Charan Dash, and Suprava Singh. "Radiation and mass transfer effects on MHD flow through porous medium past an exponentially accelerated inclined plate with variable temperature." Ain Shams Engineering Journal 8, no. 1 (2017): 67-75. https://doi.org/10.1016/j.asej.2015.08.014

Luo, Xiao-Hong, Ben-Wen Li, and Zhang-Mao Hu. "Effects of thermal radiation on MHD flow and heat transfer in a cubic cavity." International Journal of Heat and Mass Transfer 92 (2016): 449-466. https://doi.org/10.1016/j.ijheatmasstransfer.2015.08.104

Obulesu, M., and R. Siva Prasad. "Radiation Absorption Effect on MHD Dissipative Fluid Past A Vertical Porous Plate Embedded in Porous Media." Bulletin of Pure & Applied Sciences-Mathematics and Statistics 37, no. 1 (2018): 184-199. https://doi.org/10.5958/2320-3226.2018.00019.X

Murthy, MV Ramana, R. Srinivasa Raju, and J. Anand Rao. "Heat and mass transfer effects on MHD natural convective flow past an infinite vertical porous plate with thermal radiation and Hall current." Procedia Engineering 127 (2015): 1330-1337. https://doi.org/10.1016/j.proeng.2015.11.491

Sandhya, Akuri, G. Reddy, and G. V. S. R. Deekshitulu. "Radiation and chemical reaction effects on MHD Casson fluid flow past a semi-infinite vertical moving porous plate." (2020).

Babu, D. Dastagiri, S. Venkateswarlu, and E. Keashava Reddy. "Heat and mass transfer on MHD flow of Non-Newtonian fluid over an infinite vertical porous plate with Hall effects." International Journal of Pure and Applied Mathematics 119, no. 15 (2018): 87-103.

Tripathy, R. S., G. C. Dash, S. R. Mishra, and S. Baag. "Chemical reaction effect on MHD free convective surface over a moving vertical plate through porous medium." Alexandria Engineering Journal 54, no. 3 (2015): 673-679. https://doi.org/10.1016/j.aej.2015.04.012

Haq, Rizwan Ul, Feroz Ahmed Soomro, Toufik Mekkaoui, and Qasem M. Al-Mdallal. "MHD natural convection flow enclosure in a corrugated cavity filled with a porous medium." International Journal of Heat and Mass Transfer 121 (2018): 1168-1178. https://doi.org/10.1016/j.ijheatmasstransfer.2018.01.063

Patel, Harshad R. "Cross diffusion and heat generation effects on mixed convection stagnation point MHD Carreau fluid flow in a porous medium." International Journal of Ambient Energy 43, no. 1 (2022): 4990-5005. https://doi.org/10.1080/01430750.2021.1931960

Harshad R. Patel: Effects of Magnetic field, thermo-diffusion and hall current on Casson fluid flow past an oscillating plate in porous medium, Multiphase Science and Technology, [Begell House), Volume 31, Issue-1 [2019), 87–107 [ISSN: 0276-1459], Scopus. https://doi.org/10.1615/MultScienTechn.2019029514

Ibrahim, S. Y., and Oluwole D. Makinde. "Radiation effect on chemically reacting magnetohydrodynamics (MHD) boundary layer flow of heat and mass transfer through a porous vertical flat plate." International Journal of Physical Sciences 6, no. 6 (2011): 1508-1516.

Pattnaik, J. R., G. C. Dash, and S. Singh. "Diffusion-thermo effect with hall current on unsteady hydromagnetic flow past an infinite vertical porous plate." Alexandria Engineering Journal 56, no. 1 (2017): 13-25. https://doi.org/10.1016/j.aej.2016.08.027

Chamkha, Ali J., and S. E. Ahmed. "Similarity solution for unsteady MHD flow near a stagnation point of a three-dimensional porous body with heat and mass transfer, heat generation/absorption and chemical reaction." (2011): 87-94. https://doi.org/10.1504/PCFD.2011.042848

Harshad R. Patel: Heat and Mass Transfer Effects on Unsteady Free Convective MHD Flow of a Micro Polar Fluid between Two Vertical Walls, Mathematics Today, Vol.34 [December 2018) 42-63. [ISSN: 0976-3228].

Umamaheswar, M., M. C. Raju, and S. Vijaya Kumar Varma. "MHD convective heat and mass transfer flow of a Newtonian fluid past a vertical porous plate with chemical reaction, radiation absorption and thermal diffusion." International Journal of Engineering Research in Africa 19 (2015): 37-56. https://doi.org/10.4028/www.scientific.net/JERA.19.37

Kumar, D. Ravi, K. Jayarami Reddy, and M. C. Raju. "Unsteady MHD thermal diffusive and radiative fluid flow past a vertical porous plate with chemical reaction in slip flow regime." International Journal of Applied Mechanics and Engineering 24, no. 1 (2019): 117-129. https://doi.org/10.2478/ijame-2019-0008

Guled, C. N., J. V. Tawade, P. Kumam, S. Noeiaghdam, I. Maharudrappa, S. M. Chithra, and V. Govindan. "The heat transfer effects of MHD slip flow with suction and injection and radiation over a shrinking sheet by optimal homotopy analysis method." Results in Engineering 18 (2023): 101173. https://doi.org/10.1016/j.rineng.2023.101173

Dharmaiah, G., JL Rama Prasad, K. S. Balamurugan, I. Nurhidayat, Unai Fernandez-Gamiz, and Samad Noeiaghdam. "Performance of magnetic dipole contribution on ferromagnetic non-Newtonian radiative MHD blood flow: An application of biotechnology and medical sciences." Heliyon 9, no. 2 (2023). https://doi.org/10.1016/j.heliyon.2023.e13369

Manvi, Bharatkumar, Jagadish Tawade, Mahadev Biradar, Samad Noeiaghdam, Unai Fernandez-Gamiz, and Vediyappan Govindan. "The effects of MHD radiating and non-uniform heat source/sink with heating on the momentum and heat transfer of Eyring-Powell fluid over a stretching." Results in Engineering 14 (2022): 100435. https://doi.org/10.1016/j.rineng.2022.100435

Arulmozhi, S., K. Sukkiramathi, Shyam Sundar Santra, R. Edwan, Unai Fernandez-Gamiz, and Samad Noeiaghdam. "Heat and mass transfer analysis of radiative and chemical reactive effects on MHD nanofluid over an infinite moving vertical plate." Results in Engineering 14 (2022): 100394. https://doi.org/10.1016/j.rineng.2022.100394

Javed, Maryiam, Naveed Imran, Adal Arooj, and Muhammad Sohail. "Meta-analysis on homogeneous-heterogeneous reaction effects in a sinusoidal wavy curved channel." Chemical Physics Letters 763 (2021): 138200. https://doi.org/10.1016/j.cplett.2020.138200

Nazir, Umar, Muhammad Sohail, Mahmoud M. Selim, Hussam Alrabaiah, and Poom Kumam. "Finite element simulations of hybrid nano-Carreau Yasuda fluid with hall and ion slip forces over rotating heated porous cone." Scientific Reports 11, no. 1 (2021): 19604. https://doi.org/10.1038/s41598-021-99116-z

Akbar, Sana, and Muhammad Sohail. "Three dimensional MHD viscous flow under the influence of thermal radiation and viscous dissipation." International Journal of Emerging Multidisciplinaries: Mathematics 1, no. 3 (2022): 106-117. https://doi.org/10.54938/ijemdm.2022.01.3.122

Sohail, Muhammad, Yu-Ming Chu, Essam R. El-Zahar, Umar Nazir, and Tahir Naseem. "Contribution of joule heating and viscous dissipation on three dimensional flow of Casson model comprising temperature dependent conductance utilizing shooting method." Physica Scripta 96, no. 8 (2021): 085208. https://doi.org/10.1088/1402-4896/ac00e5

Wang, Fuzhang, Umar Nazir, Muhammad Sohail, Essam R. El-Zahar, Choonkil Park, and Phatiphat Thounthong. "A Galerkin strategy for tri-hybridized mixture in ethylene glycol comprising variable diffusion and thermal conductivity using non-Fourier’s theory." Nanotechnology Reviews 11, no. 1 (2022): 834-845. https://doi.org/10.1515/ntrev-2022-0050

Algehyne, Ebrahem A., Essam R. El-Zahar, S. H. Elhag, Fatimah S. Bayones, Umar Nazir, Muhammad Sohail, and Poom Kumam. "Investigation of thermal performance of Maxwell hybrid nanofluid boundary value problem in vertical porous surface via finite element approach." Scientific Reports 12, no. 1 (2022): 2335. https://doi.org/10.1038/s41598-022-06213-8

Muhammad Sohail , Umair Ali , Qasem Al-Mdallal , PhatiphatThounthong , El-Sayed M. Sherif , HussamAlrabaiah , Zahra Abdelmalek : Theoretical and numerical investigation of entropy for the variable thermophysical characteristics of couple stress material: Applications to optimization,Alexandria Engineering Journal,Volume 59, Issue 6, December 2020, Pages 4365-4375. https://doi.org/10.1016/j.aej.2020.07.042

Muhammad Sohail, Umar Nazir, Yu-Ming Chu, HussamAlrabaiah, Wael Al-Kouz, and PhatiphatThounthong: Computational exploration for radiative flow of Sutterbynanofluid with variable temperature-dependent thermal conductivity and diffusion coefficient,Open Physics 2020; 18: 1073–1083. https://doi.org/10.1515/phys-2020-0216

Naseem, Tahir, Umar Nazir, and Muhammad Sohail. "Contribution of Dufour and Soret effects on hydromagnetized material comprising temperature‐dependent thermal conductivity." Heat Transfer 50, no. 7 (2021): 7157-7175. https://doi.org/10.1002/htj.22222

Nazir, Umar, Muhammad Sohail, Kanit Mukdasai, Abha Singh, Reham A. Alahmadi, Ahmed M. Galal, and Sayed M. Eldin. "Applications of variable thermal properties in Carreau material with ion slip and Hall forces towards cone using a non-Fourier approach via FE-method and mesh-free study." Frontiers in Materials 9 (2022): 1054138. https://doi.org/10.3389/fmats.2022.1054138

Zubair, Tamour, Muhammad Usman, Muhammad Hamid, Muhammad Sohail, Umar Nazir, Kottakkaran Sooppy Nisar, and Velusamy Vijayakumar. "Computational analysis of radiative Williamson hybrid nanofluid comprising variable thermal conductivity." Japanese Journal of Applied Physics 60, no. 8 (2021): 087004. https://doi.org/10.35848/1347-4065/ac1388

Downloads

Published

2024-01-23

How to Cite

Mopuri, O., A.Sailakumari, Ganjikunta, A. ., E, S., K, V., P, R., Charankumar Ganteda, B.Ramakrishna Reddy, & S. V. K. Varma. (2024). Characteristics of MHD Jeffery Fluid Past an Inclined Vertical Porous Plate. CFD Letters, 16(6), 68–89. https://doi.org/10.37934/cfdl.16.6.6889

Issue

Section

Articles