Unsteady MHD Rotating Jeffreys Fluid Flow Embedded in a Porous Medium Over an Infinite Perpendicular Plate

Authors

  • M. Harikrushna Department of Mathematics, Sri KrishnadevarayaUniversity, Ananthapuramu, Andhra Pradesh, 515003, India
  • G. Prabhakara Rao Department of Mathematics,Government College(A),Ananthapuramu,Andhra Pradsh, 515001, India
  • M Veera Krishna Department of Mathematics, Rayalaseema University, Kurnool,Andhra Pradesh - 518007, India

DOI:

https://doi.org/10.37934/cfdl.17.4.3349

Keywords:

MHD, unsteady flow, Jeffreys fluids, Porous mediaum, vertical plates

Abstract

The analysis of the rotation outcomes for the viscous, incompressible, electrically conducting Jeffreys fluid in an infinite vertical plate through the revolution impacts has been explored. This is owing to the exponential exciting perpendicular absorbent plate embedded in the permeable medium by allowing for ramped surface temperature into the endurances of thermal radiation. The essential governing sets of equations for the flow are translated into non-dimensional form with insert appropriate parameters as well as variables; therefore the resultant equations are computationally resolved by the well-organizing Laplace transform methodology. The influences of numerous significant considerable parameters for the modelling on the velocity, temperature and concentration of the liquid, and the skin friction coefficient, Nusselt number and Sherwood number for together thermal conditions have been deliberated and exploring strongly by producing of graphical profiles and tabular format. This is determined that, with increasing quantities of the rotation, thermal radiation parameters, the fluid temperature as well as velocity enhances. Similarly, this is notified that, a mounting in porous parameter reasons to escalate fluid velocity in addition to concentration reversal results are noticed by the chemical reaction parameter.

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Author Biographies

M. Harikrushna, Department of Mathematics, Sri KrishnadevarayaUniversity, Ananthapuramu, Andhra Pradesh, 515003, India

harikrushna.m@gmail.com

G. Prabhakara Rao, Department of Mathematics,Government College(A),Ananthapuramu,Andhra Pradsh, 515001, India

nari.prabhu@gmail.com

M Veera Krishna, Department of Mathematics, Rayalaseema University, Kurnool,Andhra Pradesh - 518007, India

mvkruknl@gmail.com

References

Nadeem, S., Bushra Tahir, Fotini Labropulu, and Noreen Sher Akbar. "Unsteady oscillatory stagnation point flow of a Jeffrey fluid." Journal of Aerospace Engineering 27, no. 3 (2014): 636-643. https://doi.org/10.1061/(ASCE)AS.1943-5525.0000206 DOI: https://doi.org/10.1061/(ASCE)AS.1943-5525.0000206

Hayat, Tasawar, and Meraj Mustafa. "Influence of thermal radiation on the unsteady mixed convection flow of a Jeffrey fluid over a stretching sheet." Zeitschrift für Naturforschung A 65, no. 8-9 (2010): 711-719. https://doi.org/10.1515/zna-2010-8-913 DOI: https://doi.org/10.1515/zna-2010-8-913

Hayat, T., S. A. Shehzad, M. Qasim, and S. Obaidat. "Radiative flow of Jeffery fluid in a porous medium with power law heat flux and heat source." Nuclear Engineering and Design 243 (2012): 15-19. https://doi.org/10.1016/j.nucengdes.2011.11.005 DOI: https://doi.org/10.1016/j.nucengdes.2011.11.005

Shehzad, S. A., A. Alsaedi, and T. Hayat. "Influence of thermophoresis and Joule heating on the radiative flow of Jeffrey fluid with mixed convection." Brazilian Journal of Chemical Engineering 30 (2013): 897-908. https://doi.org/10.1590/S0104-66322013000400021 DOI: https://doi.org/10.1590/S0104-66322013000400021

Shehzad, S. A., Z. Abdullah, A. Alsaedi, F. M. Abbasi, and T. Hayat. "Thermally radiative three-dimensional flow of Jeffrey nanofluid with internal heat generation and magnetic field." Journal of Magnetism and Magnetic Materials 397 (2016): 108-114. https://doi.org/10.1016/j.jmmm.2015.07.057 DOI: https://doi.org/10.1016/j.jmmm.2015.07.057

Hussain, Tariq, Sabir Ali Shehzad, Tasawar Hayat, Ahmed Alsaedi, Falleh Al-Solamy, and Muhammad Ramzan. "Radiative hydromagnetic flow of Jeffrey nanofluid by an exponentially stretching sheet." Plos one 9, no. 8 (2014): e103719. https://doi.org/10.1371/journal.pone.0103719 DOI: https://doi.org/10.1371/journal.pone.0103719

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 DOI: https://doi.org/10.1016/j.aej.2015.06.008

Hayat, Tasawar, and Nasir Ali. "Peristaltic motion of a Jeffrey fluid under the effect of a magnetic field in a tube." Communications in Nonlinear Science and Numerical Simulation 13, no. 7 (2008): 1343-1352. https://doi.org/10.1016/j.cnsns.2006.12.009 DOI: https://doi.org/10.1016/j.cnsns.2006.12.009

Abd-Alla, A. M., S. M. Abo-Dahab, and Maram M. Albalawi. "Magnetic field and gravity effects on peristaltic transport of a Jeffrey fluid in an asymmetric channel." In Abstract and applied analysis, vol. 2014, no. 1, p. 896121. Hindawi Publishing Corporation, 2014. https://doi.org/10.1155/2014/896121 DOI: https://doi.org/10.1155/2014/896121

Abd-Alla, A. M., and S. M. Abo-Dahab. "Magnetic field and rotation effects on peristaltic transport of a Jeffrey fluid in an asymmetric channel." Journal of Magnetism and Magnetic Materials 374 (2015): 680-689. https://doi.org/10.1016/j.jmmm.2014.08.091 DOI: https://doi.org/10.1016/j.jmmm.2014.08.091

Akram, Safia, and S. Nadeem. "Influence of induced magnetic field and heat transfer on the peristaltic motion of a Jeffrey fluid in an asymmetric channel: closed form solutions." Journal of Magnetism and Magnetic Materials 328 (2013): 11-20. https://doi.org/10.1002/htj.21722 DOI: https://doi.org/10.1016/j.jmmm.2012.09.052

Greenspan, H. P., The Theory of Rotating Fluids, Cambridge University Press, New York, 1980.

Acheson, D. J., and Hide, R., Hydromagnetics of rotating fluids, Rep. Prog. Phys., 36, 159 (1973). https://doi.org/10.1088/0034-4885/36/2/002 DOI: https://doi.org/10.1088/0034-4885/36/2/002

Moffatt, H. K. "Report on the NATO Advanced Study Institute on magnetohydrodynamic phenomena in rotating fluids." Journal of Fluid Mechanics 57, no. 4 (1973): 625-649. https://doi.org/10.1017/S0022112073001928 DOI: https://doi.org/10.1017/S0022112073001928

Chamkha, Ali J., A. S. Dogonchi, and D. D. Ganji. "Magneto-hydrodynamic flow and heat transfer of a hybrid nanofluid in a rotating system among two surfaces in the presence of thermal radiation and Joule heating." Aip Advances 9, no. 2 (2019). https://doi.org/10.1063/1.5086247 DOI: https://doi.org/10.1063/1.5086247

Shah, Zahir, Ebenezer Bonyah, Saeed Islam, and Taza Gul. "Impact of thermal radiation on electrical MHD rotating flow of Carbon nanotubes over a stretching sheet." AIP Advances 9, no. 1 (2019). https://doi.org/10.1063/1.5048078 DOI: https://doi.org/10.1063/1.5048078

Singh, Jitendra Kumar, Gauri Shenkar Seth, and Ghousia Begum. "Hydromagnetic free convective flow of Walters’-B fluid over a vertical surface with time varying surface conditions." World Journal of Engineering 17, no. 2 (2020): 295-307. https://doi.org/10.1108/WJE-06-2019-0163 DOI: https://doi.org/10.1108/WJE-06-2019-0163

Nandi, Susmay, and Bidyasagar Kumbhakar. "Unsteady MHD free convective flow past a permeable vertical plate with periodic movement and slippage in the presence of Hall current and rotation." Thermal Science and Engineering Progress 19 (2020): 100561. https://doi.org/10.1016/j.tsep.2020.100561 DOI: https://doi.org/10.1016/j.tsep.2020.100561

Shoaib, Muhammad, Muhammad Asif Zahoor Raja, Muhammad Touseef Sabir, Saeed Islam, Zahir Shah, Poom Kumam, and Hussam Alrabaiah. "Numerical investigation for rotating flow of MHD hybrid nanofluid with thermal radiation over a stretching sheet." Scientific Reports 10, no. 1 (2020): 18533. https://doi.org/10.1038/s41598-020-75254-8 DOI: https://doi.org/10.1038/s41598-020-75254-8

Sharma, Ram Prakash, S. K. Ghosh, and S. Das. "MHD flow in a rotating channel surrounded in a porous medium with an inclined magnetic field." Energy Systems and Nanotechnology (2021): 369-384. https://doi.org/10.1007/978-981-16-1256-5_18 DOI: https://doi.org/10.1007/978-981-16-1256-5_18

Sarkar, Subharthi, Bapuji Sahoo, and T. V. S. Sekhar. "Influence of magnetic field in the control of Taylor column phenomenon in the translation of a sphere in a rotating fluid." Physics of Fluids 33, no. 7 (2021). https://doi.org/10.1063/5.0057140 DOI: https://doi.org/10.1063/5.0057140

Jeevitha, S., M. Chitra, and B. Rushi Kumar. "MHD flow in a rotating vertical cone through a porous medium." Heat Transfer 52, no. 3 (2023): 2165-2185. https://doi.org/10.1002/htj.22779 DOI: https://doi.org/10.1002/htj.22779

Reddy, GV Ramana, N. Bhaskar Reddy, and Rama Subba Reddy Gorla. "Radiation and chemical reaction effects on MHD flow along a moving vertical porous plate." International Journal of Applied Mechanics and Engineering 21, no. 1 (2016): 157-168. https://doi.org/10.1515/ijame-2016-0010 DOI: https://doi.org/10.1515/ijame-2016-0010

Mohd Zin, Nor Athirah, Ilyas Khan, and Sharidan Shafie. "Influence of thermal radiation on unsteady MHD free convection flow of Jeffrey fluid over a vertical plate with ramped wall temperature." Mathematical Problems in Engineering 2016, no. 1 (2016): 6257071. https://doi.org/10.1155/2016/6257071 DOI: https://doi.org/10.1155/2016/6257071

Seth, G. S., S. Sarkar, and Syed Modassir Hussain. "Effects of Hall current, radiation and rotation on natural convection heat and mass transfer flow past a moving vertical plate." Ain Shams Engineering Journal 5, no. 2 (2014): 489-503. http://dx.doi.org/10.1016/j.asej.2013.09.014 DOI: https://doi.org/10.1016/j.asej.2013.09.014

Nabilah, Nur Amira, Cheng Yee Ng, Nauman Riyaz Maldar, and Fatin Khalida Abd Khadir. "Marine hydrokinetic energy potential of Peninsular Malaysia by using hybrid site selection method." Progress in Energy and Environment (2023): 1-10.

Muniandy, Sumitra, Syuhaida Ismail, and Md Ezamudin Said. "Revenue/cost production sharing contract (psc) fiscal regime on marginal gas fields in Malaysia: Case study." Progress in Energy and Environment (2023): 11-18. https://doi.org/10.37934/progee.26.1.1118 DOI: https://doi.org/10.37934/progee.26.1.1118

Hamrayev, Hemra, and Kamyar Shameli. "Synthesis and Characterization of Ionically Cross-Linked Chitosan Nanoparticles." Journal of Research in Nanoscience and Nanotechnology 7, no. 1 (2022): 7-13. https://doi.org/10.37934/jrnn.7.1.713 DOI: https://doi.org/10.37934/jrnn.7.1.713

Noor, Nur Azlina Mat, Sharidan Shafie, and Mohd Ariff Admon. "MHD squeezing flow of casson nanofluid with chemical reaction, thermal radiation and heat Generation/Absorption." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 68, no. 2 (2020): 94-111. https://doi.org/10.37934/arfmts.68.2.94111 DOI: https://doi.org/10.37934/arfmts.68.2.94111

Goud, B. Shankar. "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." International Journal of Thermofluids 7 (2020): 100044. https://doi.org/10.1016/j.ijft.2020.100044 DOI: https://doi.org/10.1016/j.ijft.2020.100044

Bejawada, Shankar Goud, and Mahantesh M. Nandeppanavar. "Effect of thermal radiation on magnetohydrodynamics heat transfer micropolar fluid flow over a vertical moving porous plate." Experimental and Computational Multiphase Flow 5, no. 2 (2023): 149-158. https://doi.org/10.1007/s42757-021-0131-5 DOI: https://doi.org/10.1007/s42757-021-0131-5

Srinivasulu, Thadakamalla, and B. Shankar Goud. "Effect of inclined magnetic field on flow, heat and mass transfer of Williamson nanofluid over a stretching sheet." Case Studies in Thermal Engineering 23 (2021): 100819. https://doi.org/10.1016/j.csite.2020.100819. DOI: https://doi.org/10.1016/j.csite.2020.100819

Goud, B. Shankar, and Mahantesh M. Nandeppanavar. "Ohmic heating and chemical reaction effect on MHD flow of micropolar fluid past a stretching surface." Partial Differential Equations in Applied Mathematics 4 (2021): 100104. https://doi.org/10.1016/j.padiff.2021.100104. DOI: https://doi.org/10.1016/j.padiff.2021.100104

Goud, B. Shankar, P. Pramod Kumar, Bala Siddulu Malga, and Y. Dharmendar Reddy. "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 in Random and Complex Media (2022): 1-22. https://doi.org/10.1080/17455030.2022.2091809 DOI: https://doi.org/10.1080/17455030.2022.2091809

Amar, N., Naikoti Kishan, and B. Shankar Goud. "MHD heat transfer flow over a moving wedge with convective boundary conditions with the influence of viscous dissipation and internal heat generation/absorption." Heat Transfer 51, no. 6 (2022): 5015-5029. https://doi.org/10.1002/htj.22534 DOI: https://doi.org/10.1002/htj.22534

Shankar Goud, Bejawada, Patlolla Pramod Kumar, and Bala Siddulu Malga. "Induced magnetic field effect on MHD free convection flow in nonconducting and conducting vertical microchannel walls." Heat transfer 51, no. 2 (2022): 2201-2218. https://doi.org/10.1002/htj.22396 DOI: https://doi.org/10.1002/htj.22396

Hussain, Syed M., B. Shankar Goud, Prakash Madheshwaran, Wasim Jamshed, Amjad Ali Pasha, Rabia Safdar, Misbah Arshad, Rabha W. Ibrahim, and Mohammad Kalimuddin Ahmad. "Effectiveness of nonuniform heat generation (sink) and thermal characterization of a carreau fluid flowing across a nonlinear elongating cylinder: A numerical study." ACS omega 7, no. 29 (2022): 25309-25320. https://doi.org/10.1021/acsomega.2c02207 DOI: https://doi.org/10.1021/acsomega.2c02207

Bejawada, Shankar Goud, Yanala Dharmendar Reddy, Wasim Jamshed, Mohamed R. Eid, Rabia Safdar, Kottakkaran Sooppy Nisar, Siti Suzilliana Putri Mohamed Isa, Mohammad Mahtab Alam, and Shahanaz Parvin. "2D mixed convection non-Darcy model with radiation effect in a nanofluid over an inclined wavy surface." Alexandria Engineering Journal 61, no. 12 (2022): 9965-9976. https://doi.org/10.1016/j.aej.2022.03.030 DOI: https://doi.org/10.1016/j.aej.2022.03.030

Bejawada, Shankar Goud, Yanala Dharmendar Reddy, Wasim Jamshed, Kottakkaran Sooppy Nisar, Abdulaziz N. Alharbi, and Ridha Chouikh. "Radiation effect on MHD Casson fluid flow over an inclined non-linear surface with chemical reaction in a Forchheimer porous medium." Alexandria Engineering Journal 61, no. 10 (2022): 8207-8220. https://doi.org/10.1016/j.aej.2022.01.043. DOI: https://doi.org/10.1016/j.aej.2022.01.043

Reddy, Y. Dharmendar, Fateh Mebarek-Oudina, B. Shankar Goud, and A. I. Ismail. "Radiation, velocity and thermal slips effect toward MHD boundary layer flow through heat and mass transport of Williamson nanofluid with porous medium." Arabian Journal for Science and Engineering 47, no. 12 (2022): 16355-16369. https://doi.org/10.1007/s13369-022-06825-2 DOI: https://doi.org/10.1007/s13369-022-06825-2

Reddy, Nalivela Nagi, Yanala Dharmendar Reddy, Vempati Srinivasa Rao, B. Shankar Goud, and Kottakkaran Sooppy Nisar. "Multiple slip effects on steady MHD flow past a non-isothermal stretching surface in presence of Soret, Dufour with suction/injection." International Communications in Heat and Mass Transfer 134 (2022): 106024. https://doi.org/10.1016/j.icheatmasstransfer.2022.106024 DOI: https://doi.org/10.1016/j.icheatmasstransfer.2022.106024

Reddy, Yanala Dharmendar, B. Shankar Goud, M. Riaz Khan, Mohamed Abdelghany Elkotb, and Ahmed M. Galal. "Transport properties of a hydromagnetic radiative stagnation point flow of a nanofluid across a stretching surface." Case Studies in Thermal Engineering 31 (2022): 101839. https://doi.org/10.1016/j.csite.2022.101839 DOI: https://doi.org/10.1016/j.csite.2022.101839

Kumar, M. Anil, Y. Dharmendar Reddy, V. Srinivasa Rao, and B. Shankar Goud. "Thermal radiation impact on MHD heat transfer natural convective nano fluid flow over an impulsively started vertical plate." Case studies in thermal engineering 24 (2021): 100826. https://doi.org/10.1016/j.csite.2020.100826 DOI: https://doi.org/10.1016/j.csite.2020.100826

Kumar, M. Anil, Yanala Dharmendar Reddy, B. Shankar Goud, and V. Srinivasa Rao. "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." International Journal of Ambient Energy 43, no. 1 (2022): 7410-7418. https://doi.org/10.1080/01430750.2022.2063381 DOI: https://doi.org/10.1080/01430750.2022.2063381

Reddy, Y. Dharmendar, B. Shankar Goud, Ali J. Chamkha, and M. Anil Kumar. "Influence of radiation and viscous dissipation on MHD heat transfer Casson nanofluid flow along a nonlinear stretching surface with chemical reaction." Heat Transfer 51, no. 4 (2022): 3495-3511. https://doi.org/10.1002/htj.22460 DOI: https://doi.org/10.1002/htj.22460

Published

2024-10-31

How to Cite

Harikrushna, M. ., Prabhakara Rao, G. ., & Krishna, M. V. (2024). Unsteady MHD Rotating Jeffreys Fluid Flow Embedded in a Porous Medium Over an Infinite Perpendicular Plate. CFD Letters, 17(4), 33–49. https://doi.org/10.37934/cfdl.17.4.3349

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