Flow of Casson Nanofluid Past a Permeable Surface: Effects of Brownian Motion, Thermophoretic Diffusion and Lorenz force

Authors

  • Seethamahalakshmi Vyakaranam Vyakaranam Department of Mathematics, PVP Siddartha Institute of Technology, Kanuru, Vijayawada, Andhra Pradesh 520007, India
  • Bindu Pathuri Department of Engineering Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Andhra Pradesh 522302, India
  • Venkata Ramana Reddy Gurrampati Department of Engineering Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Andhra Pradesh 522302, India
  • Abayomi Samuel Oke Adekunle Ajasin University, P. M. B. 001, Akungba-Akoko, Ondo State, Nigeria

DOI:

https://doi.org/10.37934/cfdl.14.12.111125

Keywords:

Casson nano liquid, MHD, Inclined porous surface, thermal Radiation.

Abstract

This study is aimed at testing the significance of Brownian movement and thermophoresis dispersion on MHD Casson nano liquid limit layer stream past a nonlinear slanted permeable extending surface, with the impact of convective limits and warm radiation with a synthetic response. Nonlinear ODEs are gotten from overseeing nonlinear PDEs by utilizing good comparability changes. The amounts related to building angles, for example, skin grating, Nusselt and Sherwood numbers alongside different effects of factors from the material on the speed and temperature, are outlined. Numerical consequences of the current investigation are acquired through the Runge-Kutta Fehlberg strategy alongside the shooting procedure and in a constraining sense are diminished to the distributed outcomes for a precision reason.

Author Biographies

Seethamahalakshmi Vyakaranam Vyakaranam, Department of Mathematics, PVP Siddartha Institute of Technology, Kanuru, Vijayawada, Andhra Pradesh 520007, India

seethamahalakshmi1997@gmail.com

Bindu Pathuri, Department of Engineering Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Andhra Pradesh 522302, India

bindupathuri@kluniversity.in

Venkata Ramana Reddy Gurrampati, Department of Engineering Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Andhra Pradesh 522302, India

gvrr1976@gmail.com

Abayomi Samuel Oke , Adekunle Ajasin University, P. M. B. 001, Akungba-Akoko, Ondo State, Nigeria

okeabayomisamuel@gmail.com

References

Hayat, T., S. A. Shehzad, A. Alsaedi, and M. S. Alhothuali. "Mixed convection stagnation point flow of Casson fluid with convective boundary conditions." Chinese Physics Letters 29, no. 11 (2012): 114704. https://doi.org/10.1088/0256-307X/29/11/114704

Ugwah-Oguejiofor, Chinenye Jane, Charles Ogbonna Okoli, Michael Oguejiofor Ugwah, Millicent Ladi Umaru, Chiedozie Smart Ogbulie, Halilu Emmanuel Mshelia, Mohammed Umar, and Anoka Ayembe Njan. "Acute and sub-acute toxicity of aqueous extract of aerial parts of Caralluma dalzielii NE Brown in mice and rats." Heliyon 5, no. 1 (2019): e01179. https://doi.org/10.1016/j.heliyon.2019.e01179

Kamran, A., S. Hussain, M. Sagheer, and N. Akmal. "A numerical study of magnetohydrodynamics flow in Casson nanofluid combined with Joule heating and slip boundary conditions." Results in Physics 7 (2017): 3037-3048. https://doi.org/10.1016/j.rinp.2017.08.004

Reddy, G. V. R., and Y. Hari Krishna. "Soret and dufour effects on MHD micropolar fluid flow over a linearly stretching sheet, through a non-darcy porous medium." International Journal of Applied Mechanics and Engineering 23, no. 2 (2018). https://doi.org/10.2478/ijame-2018-0028

Shah, Zahir, Abdullah Dawar, I. Khan, Saeed Islam, Dennis Ling Chaun Ching, and Aurang Zeb Khan. "Cattaneo-Christov model for electrical magnetite micropoler Casson ferrofluid over a stretching/shrinking sheet using effective thermal conductivity model." Case Studies in Thermal Engineering 13 (2019): 100352. https://doi.org/10.1016/j.csite.2018.11.003

Khan, Arshad, Dolat Khan, Ilyas Khan, Farhad Ali, and Muhammad Imran. "MHD flow of sodium alginate-based Casson type nanofluid passing through a porous medium with Newtonian heating." Scientific Reports 8, no. 1 (2018): 1-12. https://doi.org/10.1038/s41598-018-26994-1

Alwawi, Firas A., Hamzeh T. Alkasasbeh, A. M. Rashad, and Ruwaidiah Idris. "MHD natural convection of Sodium Alginate Casson nanofluid over a solid sphere." Results in Physics 16 (2020): 102818. https://doi.org/10.1016/j.rinp.2019.102818

Sandhya, A., G. V. Ramana Reddy, and V. S. R. G. Deekshitulu. "Heat and mass transfer effects on MHD flow past an inclined porous plate in the presence of chemical reaction." International Journal of Applied Mechanics and Engineering 25, no. 3 (2020). https://doi.org/10.2478/ijame-2020-0036

Dolatabadi, Nader, Ramin Rahmani, Homer Rahnejat, and Colin P. Garner. "Thermal conductivity and molecular heat transport of nanofluids." RSC Advances 9, no. 5 (2019): 2516-2524. https://doi.org/10.1039/C8RA08987F

Buongiorno, Jacopo. "Convective transport in nanofluids." Journal of Heat Transfer 128, no. 3 (2006): 240-250. https://doi.org/10.1115/1.2150834

Buongiorno, Jacopo, Lin-Wen Hu, Sung Joong Kim, Ryan Hannink, B. A. O. Truong, and Eric Forrest. "Nanofluids for enhanced economics and safety of nuclear reactors: an evaluation of the potential features, issues, and research gaps." Nuclear Technology 162, no. 1 (2008): 80-91. https://doi.org/10.13182/NT08-A3934

Ajam, Hossein, Seyed Sajad Jafari, and Navid Freidoonimehr. "Analytical approximation of MHD nano-fluid flow induced by a stretching permeable surface using Buongiorno's model." Ain Shams Engineering Journal 9, no. 4 (2018): 525-536. https://doi.org/10.1016/j.asej.2016.03.006

Reddy, Seethi Reddy Reddisekhar, Polu Bala Anki Reddy, and Ali J. Chamkha. "Influence of Soret and Dufour effects on unsteady 3D MHD slip flow of Carreau nanofluid over a slendering stretchable sheet with chemical reaction." Nonlinear Analysis: Modelling and Control 24, no. 6 (2019): 853-869. https://doi.org/10.15388/NA.2019.6.1

Jaradat, H. M., Muhammed Syam, Marwan Alquran, Safwan Al Shara, and Khedr M. Abohassn. "A new two-mode coupled Burgers equation: Conditions for multiple kink solution and singular kink solution to exist." Ain Shams Engineering Journal 9, no. 4 (2018): 3239-3244. https://doi.org/10.1016/j.asej.2017.12.005

Idowu, A. S., and B. O. Falodun. "Effects of thermophoresis, Soret-Dufour on heat and mass transfer flow of magnetohydrodynamics non-Newtonian nanofluid over an inclined plate." Arab Journal of Basic and Applied Sciences 27, no. 1 (2020): 149-165. https://doi.org/10.1080/25765299.2020.1746017

Gangaiah, T., N. Saidulu, and A. Venkata Lakshmi. "The Influence of Thermal Radiation on‎ Mixed Convection MHD Flow of a Casson‎ Nanofluid over an Exponentially Stretching‎ Sheet." International Journal of Nanoscience and Nanotechnology 15, no. 2 (2019): 83-98.

Rafique, Khuram, Muhammad Imran Anwar, Masnita Misiran, Ilyas Khan, Sayer O. Alharbi, Phatiphat Thounthong, and Kottakkaran Sooppy Nisar. "Keller-box analysis of Buongiorno model with Brownian and thermophoretic diffusion for Casson nanofluid over an inclined surface." Symmetry 11, no. 11 (2019): 1370. https://doi.org/10.3390/sym11111370

Lund, Liaquat Ali, Zurni Omar, and Ilyas Khan. "Mathematical analysis of magnetohydrodynamic (MHD) flow of micropolar nanofluid under buoyancy effects past a vertical shrinking surface: Dual solutions." Heliyon 5, no. 9 (2019): e02432. https://doi.org/10.1016/j.heliyon.2019.e02432

Reddy, K. Veera, G. Venkata Ramana Reddy, A. Sandhya, and Y. Hari Krishna. "Numerical solution of MHD, Soret, Dufour, and thermal radiation contributions on unsteady free convection motion of Casson liquid past a semi‐infinite vertical porous plate." Heat Transfer 51, no. 3 (2022): 2837-2858. https://doi.org/10.1002/htj.22452

Mangathai, P., G. V. Ramana Reddy, and B. Rami Reddy. "MHD free convective flow past a vertical porous plate in the presence of radiation and heat generation." International Journal of Chemical Sciences 14, no. 3 (2016): 1577-1597.

Gurrampati, Venkata Ramana Reddy, S. Mohammed Ibrahim, and V. S. Bhagavan. "Similarity transformations of heat and mass transfer effects on steady MHD free convection dissipative fluid flow past an inclined porous surface with chemical reaction." Journal of Naval Architecture and Marine Engineering 11, no. 2 (2014): 157-166. https://doi.org/10.3329/jname.v11i2.18313

El-Dabe, Nabil TM, A. Refaie Ali, A. A. El-shekhipy, and G. A. Shalaby. "Non-linear heat and mass transfer of second grade fluid flow with Hall currents and thermophoresis Effects." Applied Mathematics & Information Sciences 11, no. 1 (2017): 267-280. https://doi.org/10.18576/amis/110133

Aman, Sidra, Ilyas Khan, Zulkhibri Ismail, Mohd Zuki Salleh, and Qasem M. Al-Mdallal. "Heat transfer enhancement in free convection flow of CNTs Maxwell nanofluids with four different types of molecular liquids." Scientific Reports 7, no. 1 (2017): 1-13. https://doi.org/10.1038/s41598-017-01358-3

Rashidi, M. M., and S. A. Mohimanian Pour. "Analytic approximate solutions for unsteady boundary-layer flow and heat transfer due to a stretching sheet by homotopy analysis method." Nonlinear Analysis: Modelling and Control 15, no. 1 (2010): 83-95. https://doi.org/10.15388/NA.2010.15.1.14366

Motsa, Sandile S., and Zodwa G. Makukula. "On a Bivariate Spectral Homotopy Analysis Method for Unsteady Mixed Convection Boundary Layer Flow, Heat, and Mass Transfer due to a Stretching Surface in a Rotating Fluid." Journal of Applied Mathematics 2017 (2017). https://doi.org/10.1155/2017/5962073

Singh, V., and Sh Agarwal. "Flow and heat transfer of Maxwell fluid with variable viscosity and thermal conductivity over an exponentially stretching sheet." American Journal of Fluid Dynamics 3, no. 4 (2013): 87-95.

Khidir, A. A., and P. Sibanda. "On spectral-homotopy analysis solutions of steady magnetohydrodynamic (MHD) flow and heat transfer from a rotating disk in a porous medium." Scientific Research and Essays 7, no. 31 (2012): 2770-2780.

Idowu, A. S., and B. O. Falodun. "Soret-Dufour effects on MHD heat and mass transfer of Walter'sB viscoelastic fluid over a semi-infinite vertical plate: spectral relaxation analysis." Journal of Taibah University for Science 13, no. 1 (2019): 49-62. https://doi.org/10.1080/16583655.2018.1523527

Manjula, V., and K. V. Chandra Sekhar. "Effect of Soret number and heat source on unsteady MHD Casson fluid flow past an inclined plate embedded in porous medium." ARPN Journal of Engineering and Applied Sciences 14, no. 11 (2019): 2069-2079.

Mallikarjuna, B., A. M. Rashad, Ahmed Kadhim Hussein, and S. Hariprasad Raju. "Transpiration and thermophoresis effects on non-Darcy convective flow past a rotating cone with thermal radiation." Arabian Journal for Science and Engineering 41, no. 11 (2016): 4691-4700. https://doi.org/10.1007/s13369-016-2252-x

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

Reddy, G. V. Ramana, N. Bhaskar Reddy, and R. S. R. 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

Reddy, J. V. Ramana, V. Sugunamma, and N. Sandeep. "Thermophoresis and Brownian motion effects on unsteady MHD nanofluid flow over a slendering stretching surface with slip effects." Alexandria Engineering Journal 57, no. 4 (2018): 2465-2473. https://doi.org/10.1016/j.aej.2017.02.014

Kigio, John Kinyanjui, Mutuku Winifred Nduku, and Oke Abayomi Samuel. "Analysis of volume fraction and convective heat transfer on MHD Casson nanofluid over a vertical plate." Fluid Mechanics 7, no. 1 (2021): 1-8. https://doi.org/10.11648/j.fm.20210701.11

Reddy, Karnati Veera, and Gurrampati Venkata Ramana Reddy. "Outlining the Impact of Melting on Mhd Casson Fluid Flow Past a Stretching Sheet in a Porous Medium with Radiation." Biointerface Research in Applied Chemistry 13, no. 1 (2022): 1-14. https://doi.org/10.33263/BRIAC131.042

Rani, K. Sandhya, and G. Venkata Ramana Reddy. "Cattaneo-Christov Heat and Mass Transfer Flux Across Electro-Hydrodynamics Blood-Based Hybrid NanoFluid Subject to Lorentz Force." CFD Letters 14, no. 7 (2022): 124-134. https://doi.org/10.37934/cfdl.14.7.124134

Gurrampati, Venkata Ramana Reddy, and Kolli Vijaya. "The Buongiorno model with Brownian and thermophoretic diffusion for MHD casson nanofluid over an inclined porous surface." Journal of Naval Architecture and Marine Engineering 19, no. 1 (2022): 31-45.

Gladys, T., and G. V. Ramana Reddy. "Contributions of variable viscosity and thermal conductivity on the dynamics of non-Newtonian nanofluids flow past an accelerating vertical plate." Partial Differential Equations in Applied Mathematics 5 (2022): 100264. https://doi.org/10.1016/j.padiff.2022.100264

Reddy, K. Veera, G. Venkata Ramana Reddy, A. Sandhya, and Y. Hari Krishna. "Numerical solution of MHD, Soret, Dufour, and thermal radiation contributions on unsteady free convection motion of Casson liquid past a semi‐infinite vertical porous plate." Heat Transfer 51, no. 3 (2022): 2837-2858. https://doi.org/10.1002/htj.22452

Reddy, G. Venkata Ramana, K. V. Chandra Sekhar, and Bidemi Olumide Falodun. "Multiple Slip Effects on Unsteady MHD Casson Nanofluid Flow over a Porous Stretching Sheet." Journal of Applied Nonlinear Dynamics 11, no. 3 (2022): 651-666. https://doi.org/10.5890/jand.2022.09.009

Kumar, K. Ganesh, M. Gnaneswara Reddy, M. V. V. N. L. Sudharani, S. A. Shehzad, and Ali J. Chamkha. "Cattaneo-Christov heat diffusion phenomenon in Reiner-Philippoff fluid through a transverse magnetic field." Physica A: Statistical Mechanics and its Applications 541 (2020): 123330. https://doi.org/10.1016/j.physa.2019.123330

Magyari, Eugen, and Ali J. Chamkha. "Combined effect of heat generation or absorption and first-order chemical reaction on micropolar fluid flows over a uniformly stretched permeable surface: the full analytical solution." International Journal of Thermal Sciences 49, no. 9 (2010): 1821-1828. https://doi.org/10.1016/j.ijthermalsci.2010.04.007

Takhar, Harmindar S., Ali J. Chamkha, and Girishwar Nath. "MHD flow over a moving plate in a rotating fluid with magnetic field, Hall currents and free stream velocity." International Journal of Engineering Science 40, no. 13 (2002): 1511-1527. https://doi.org/10.1016/S0020-7225(02)00016-2

Khan, Ansab Azam, Khairy Zaimi, Suliadi Firdaus Sufahani, and Mohammad Ferdows. "MHD flow and heat transfer of double stratified micropolar fluid over a vertical permeable shrinking/stretching sheet with chemical reaction and heat source." Journal of Advanced Research in Applied Sciences and Engineering Technology 21, no. 1 (2020): 1-14. https://doi.org/10.37934/araset.21.1.114

Jamali, Muhammad Sabaruddin Ahmad, Zuhaila Ismail, and Norsarahaida Saidina Amin. "Effect of Different Types of Stenosis on Generalized Power Law Model of Blood Flow in a Bifurcated Artery." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 87, no. 3 (2021): 172-183. https://doi.org/10.37934/arfmts.87.3.172183

Hamrelaine, Salim, Fateh Mebarek-Oudina, and Mohamed Rafik Sari. "Analysis of MHD Jeffery Hamel flow with suction/injection by homotopy analysis method." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 58, no. 2 (2019): 173-186.

Shafique, Ahmad, Muhammad Ramzan, Zaib Un Nisa, Mudassar Nazar, and Hafeez Ahmad. "Unsteady Magnetohydrodynamic Flow of Second Grade Nanofluid (Ag-Cu) With CPC Fractional Derivative: nanofluid." Journal of Advanced Research in Fluid Mechanics and Thermal Sciences 97, no. 2 (2022): 103-114. https://doi.org/10.37934/arfmts.97.2.103114

Mahat, Rahimah, Muhammad Saqib, Imran Ulah, Sharidan Shafie, and Sharena Mohamad Isa. "MHD Mixed Convection of Viscoelastic Nanofluid Flow due to Constant Heat Flux." Journal of Advanced Research in Numerical Heat Transfer 9, no. 1 (2022): 19-25.

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Published

2022-11-22

How to Cite

Vyakaranam, S. V., Bindu Pathuri, Venkata Ramana Reddy Gurrampati, & , A. S. O. (2022). Flow of Casson Nanofluid Past a Permeable Surface: Effects of Brownian Motion, Thermophoretic Diffusion and Lorenz force. CFD Letters, 14(12), 111125. https://doi.org/10.37934/cfdl.14.12.111125

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