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Year 2021, Volume: 10 Issue: 3, 98 - 113, 31.12.2021

Abstract

References

  • W. M. Bayliss, E. H. Starling, Physiology of Peristalsis, Journal of Physiology (London), 24, (1899) 99–143.
  • T. W. Latham, Fluid motion in a peristaltic pump, Master’s Thesis, Massachusetts Institute of Technology (1986), Cambridge, USA.
  • K. K. Raju, R. Devanathan, Peristaltic motion of a non-Newtonian fluid”, Rheologica Acta, 11, (1972) 170–179.
  • N. S. Akbar, Influence of magnetic field on peristaltic flow of a Casson fluid in an asymmetric channel, application in crude oil refinement. Journal of Magnetism and Magnetic Materials, 378, (2015) 463–468.
  • K. Ramesh, M. Devakar, Some analytical solutions for flows of Casson fluid with slip boundary conditions, Ain Shams Engineering Journal, 6(3), (2015) 967–975.
  • M. Rashidi, M.Yang, Z. Bhatti, M. M Bhatti, M. A. Abbas, Heat and mass transfer analysis on MHD blood flow of Casson fluid model due to peristaltic wave, Thermal Science, 22(6 (A)), (2018) 2439–2448.
  • V. P. Rathod, L. Devindrappa, Peristaltic transport in an inclined asymmetric channel with heat and mass transfer by Adomian decomposition method, Advances in Applied Science Research, 7, (2016) 83–100.
  • N. Iftikhar, A. Rehman, H. Sadaf, M. N. Khan, Impact of wall properties on the peristaltic flow of Cu-water nanofluid in a non-uniform inclined tube, International Journal of Heat and Mass Transfer, 125, (2018) 772–779.
  • B. B. Divya, G. Manjunatha,C. Rajashekhar, H. Vaidya, K. V. Prasad, The hemodynamics of variable liquid properties on the MHD peristaltic mechanism of Jeffrey fluid with heat and mass transfer, Alexandria Engineering Journal, 59(2), (2020) 693–706.
  • K. Ahmed, R. Nazar, Magnetohydrodynamic three-dimensional flow and heat transfer over a stretching surface in a visco-elastic fluid, Journal of Science and Technology, 3(1), (2011) 33–46.
  • S. Nadeem, R. U. Haq, C. Lee, MHD flow of a Casson fluid over an exponentially shrinking sheet, Scientia Iranica, 19, (2012) 1550–1553.
  • Z. Asghar, N. Ali, R. Ahmed, M. Waqas, W. A. Khan, A mathematical framework for peristaltic flow analysis of non-Newtonian Sisko fluid in an undulating porous curved channel with heat and mass transfer effects, Computer Methods and Programs in Biomedicine, 182, (2019) 105040.
  • S. Nadeem and S. Akram, Slip effects on the peristaltic flow of Jeffrey fluid in an asymmetric channel under the effect of induced magnetic field, International Journal for Numerical Methods in fluids, 63, (2010) 374–394.
  • [14] S. Hina, MHD peristaltic transport of Eyring-Powell fluid with heat/mass transfer, wall properties and slip conditions, Journal of Magnetism and Magnetic Materials, 404, (2016) 148–158.
  • M. Gnaneswara Reddy, Heat and Mass transfer on Magnetohydrodynamic peristaltic flow in a porous medium with partial slip, Alexandria Engineering Journal, 55, (2016) 1225–1234.
  • S. Akram, S. Nadeem, Influence of induced magnetic field and heat transfer on the peristaltic motion of a Jeffrey fluid in an asymmetric channel: closed-form solution, Journal of Magnetism and Magnetic Materials, 328, (2013) 11–20.
  • M. Gnaneswara Reddy, K. Venugopal Reddy, D. O. Makinde, Heat transfer on MHD peristaltic rotating flow of a Jeffrey fluid in an asymmetric channel, International Journal of Applied and Computational Mathematics, 3, (2016) 3201–3227.
  • T. Sarpakaya, Flow of non-Newtonian fluids in a magnetic field, American Institute of Chemical Engineers Journal, 7, (1961) 324–328.
  • T. Hayat, A. Saleem, A. Tanveer, F. Alsaadi, Numerical study for MHD peristaltic flow of Williamson nanofluid in an endoscope with partial slip and wall properties, International Journal of Heat and Mass Transfer, 114, (2017) 1181–1187.
  • C. Vasudev, U. Rajeswara Rao, M. V. Subba Reddy, G. Prabhakar Rao, Influence of Magnetic field and Heat transfer on Peristaltic flow of Jeffrey fluid through a porous medium in an asymmetric channel, ARPN Journal of Engineering and Applied Sciences, 5, (2010) 87–103.
  • V. P. Rathod, Laxmi Devindrappa, Effects of heat transfer on the peristaltic MHD flow of a Bingham fluid through a porous medium in a channel, International Journal of biomathematics, 7, (2014) 1450060–1450080.
  • V. P. Rathod, M. M. Channakote, Slip effects and heat transfer on MHD peristaltic flow of Jeffrey fluid in an inclined channel, Journal of Chemical, Biological and Physical Sciences, 2, (2012) 1987–1997.
  • A. Zeeshan, M. M. Bhatti, T. Muhammad, L. Zhang, Magnetized peristaltic particle-fluid propulsion with Hall and ion slip effects through a permeable channel, Physica A: Statistical Mechanics and its Applications, 550, (2019) 123999.
  • R. Muthuraj, K. Nirmala, S. Srinivas, Influence of chemical reaction and wall properties on MHD peristaltic transport of a dusty fluid with heat and mass transfer, Alexandria Engineering Journal, 55, (2016) 597–611.
  • T. Hayat, S. Hina, A. A. Hendi, S. Asghar, Influence of compliant walls on peristaltic motion with heat/mass transfer and chemical reaction, International Journal of Heat and Mass Transfer, 55, (2012) 3386–3394.
  • T. Hayat, H.Yasmin, M. Al-Yami, Soret and Dufour effects in peristaltic transport of physiological fluids with chemical reaction: A mathematical Analysis, Computers and Fluids, 70, (2014) 242–253.
  • T. Hayat, H. Zahir, A. Tanveer, A. Alsaedi, Influence of Hall current and chemical reaction in mixed convective peristaltic flow of Prandlt fluid, Journal of Magnetism and Magnetic materials,407, (2016) 321–327.
  • M. G. Reddy, K. V. Reddy, Influence of Joule heating on MHD peristaltic flow of a nanofluid with compliant walls, Procedia Engineering, 127, (2015) 1002–1009.
  • K. V. Reddy, O. D. Makinde, M. G. Reddy, Thermal analysis of MHD electro-osmotic peristaltic pumping of Casson fluid through a rotating asymmetric micro-channel, Indian Journal of Physics, 92(11), (2018) 1439–1448.
  • M. G. Reddy, B. C. Prasannakumara, O. D. Makinde, Cross diffusion impacts on hydromagnetic radiative peristaltic Carreau-Casson nanofluids flow in an irregular channel, Defect and Diffusion Forum, 377, (2017) 62–83.
  • O. D. Makinde, M. Gnaneswara Reddy, K. Venugopal Reddy, Effects of Thermal Radiation on MHD Peristaltic Motion of Walters-B Fluid with Heat Source and Slip Conditions, Journal of Applied Fluid Mechanics, 10(4), (2017) 1105–1112.
  • M. Gnaneswara Reddy, K. Venugopal Reddy, O. D. Makinde, Hydromagnetic peristaltic motion of a reacting and radiating couple stress fluid in an inclined asymmetric channel filled with a porous medium, Alexandria Engineering Journal, 55(2), (2016) 1841–1853.

Magnetohydrodynamic peristaltic transport of Casson fluid embedded with chemical reaction in an asymmetrical permeable conduit

Year 2021, Volume: 10 Issue: 3, 98 - 113, 31.12.2021

Abstract

The present study investigates the magnetohydrodynamic non-Newtonian peristaltic flow of the Casson fluid model embedded with a chemical reaction. The assumption of small Reynolds number and approximations of long-wavelength are considered. The constituent equations are analytically solved by the method of decomposition by Adomian. Distributions of the velocity field, pressure gradient and concentration field are obtained. The simulations of influencing parameters on the behaviour of the fluid model have been elaborated with the help of graphs, and detailed analysis has been done. It can be observed that both the reaction parameter and Schmidt Number show similar behaviour for concentration profile. The graphs clearly show that the fluid parameter drastically reduces the pressure rise and pressure gradient. The pressure gradient will be increased by the increase in Hartmann number, but it reduces the pressure rise.

References

  • W. M. Bayliss, E. H. Starling, Physiology of Peristalsis, Journal of Physiology (London), 24, (1899) 99–143.
  • T. W. Latham, Fluid motion in a peristaltic pump, Master’s Thesis, Massachusetts Institute of Technology (1986), Cambridge, USA.
  • K. K. Raju, R. Devanathan, Peristaltic motion of a non-Newtonian fluid”, Rheologica Acta, 11, (1972) 170–179.
  • N. S. Akbar, Influence of magnetic field on peristaltic flow of a Casson fluid in an asymmetric channel, application in crude oil refinement. Journal of Magnetism and Magnetic Materials, 378, (2015) 463–468.
  • K. Ramesh, M. Devakar, Some analytical solutions for flows of Casson fluid with slip boundary conditions, Ain Shams Engineering Journal, 6(3), (2015) 967–975.
  • M. Rashidi, M.Yang, Z. Bhatti, M. M Bhatti, M. A. Abbas, Heat and mass transfer analysis on MHD blood flow of Casson fluid model due to peristaltic wave, Thermal Science, 22(6 (A)), (2018) 2439–2448.
  • V. P. Rathod, L. Devindrappa, Peristaltic transport in an inclined asymmetric channel with heat and mass transfer by Adomian decomposition method, Advances in Applied Science Research, 7, (2016) 83–100.
  • N. Iftikhar, A. Rehman, H. Sadaf, M. N. Khan, Impact of wall properties on the peristaltic flow of Cu-water nanofluid in a non-uniform inclined tube, International Journal of Heat and Mass Transfer, 125, (2018) 772–779.
  • B. B. Divya, G. Manjunatha,C. Rajashekhar, H. Vaidya, K. V. Prasad, The hemodynamics of variable liquid properties on the MHD peristaltic mechanism of Jeffrey fluid with heat and mass transfer, Alexandria Engineering Journal, 59(2), (2020) 693–706.
  • K. Ahmed, R. Nazar, Magnetohydrodynamic three-dimensional flow and heat transfer over a stretching surface in a visco-elastic fluid, Journal of Science and Technology, 3(1), (2011) 33–46.
  • S. Nadeem, R. U. Haq, C. Lee, MHD flow of a Casson fluid over an exponentially shrinking sheet, Scientia Iranica, 19, (2012) 1550–1553.
  • Z. Asghar, N. Ali, R. Ahmed, M. Waqas, W. A. Khan, A mathematical framework for peristaltic flow analysis of non-Newtonian Sisko fluid in an undulating porous curved channel with heat and mass transfer effects, Computer Methods and Programs in Biomedicine, 182, (2019) 105040.
  • S. Nadeem and S. Akram, Slip effects on the peristaltic flow of Jeffrey fluid in an asymmetric channel under the effect of induced magnetic field, International Journal for Numerical Methods in fluids, 63, (2010) 374–394.
  • [14] S. Hina, MHD peristaltic transport of Eyring-Powell fluid with heat/mass transfer, wall properties and slip conditions, Journal of Magnetism and Magnetic Materials, 404, (2016) 148–158.
  • M. Gnaneswara Reddy, Heat and Mass transfer on Magnetohydrodynamic peristaltic flow in a porous medium with partial slip, Alexandria Engineering Journal, 55, (2016) 1225–1234.
  • S. Akram, S. Nadeem, Influence of induced magnetic field and heat transfer on the peristaltic motion of a Jeffrey fluid in an asymmetric channel: closed-form solution, Journal of Magnetism and Magnetic Materials, 328, (2013) 11–20.
  • M. Gnaneswara Reddy, K. Venugopal Reddy, D. O. Makinde, Heat transfer on MHD peristaltic rotating flow of a Jeffrey fluid in an asymmetric channel, International Journal of Applied and Computational Mathematics, 3, (2016) 3201–3227.
  • T. Sarpakaya, Flow of non-Newtonian fluids in a magnetic field, American Institute of Chemical Engineers Journal, 7, (1961) 324–328.
  • T. Hayat, A. Saleem, A. Tanveer, F. Alsaadi, Numerical study for MHD peristaltic flow of Williamson nanofluid in an endoscope with partial slip and wall properties, International Journal of Heat and Mass Transfer, 114, (2017) 1181–1187.
  • C. Vasudev, U. Rajeswara Rao, M. V. Subba Reddy, G. Prabhakar Rao, Influence of Magnetic field and Heat transfer on Peristaltic flow of Jeffrey fluid through a porous medium in an asymmetric channel, ARPN Journal of Engineering and Applied Sciences, 5, (2010) 87–103.
  • V. P. Rathod, Laxmi Devindrappa, Effects of heat transfer on the peristaltic MHD flow of a Bingham fluid through a porous medium in a channel, International Journal of biomathematics, 7, (2014) 1450060–1450080.
  • V. P. Rathod, M. M. Channakote, Slip effects and heat transfer on MHD peristaltic flow of Jeffrey fluid in an inclined channel, Journal of Chemical, Biological and Physical Sciences, 2, (2012) 1987–1997.
  • A. Zeeshan, M. M. Bhatti, T. Muhammad, L. Zhang, Magnetized peristaltic particle-fluid propulsion with Hall and ion slip effects through a permeable channel, Physica A: Statistical Mechanics and its Applications, 550, (2019) 123999.
  • R. Muthuraj, K. Nirmala, S. Srinivas, Influence of chemical reaction and wall properties on MHD peristaltic transport of a dusty fluid with heat and mass transfer, Alexandria Engineering Journal, 55, (2016) 597–611.
  • T. Hayat, S. Hina, A. A. Hendi, S. Asghar, Influence of compliant walls on peristaltic motion with heat/mass transfer and chemical reaction, International Journal of Heat and Mass Transfer, 55, (2012) 3386–3394.
  • T. Hayat, H.Yasmin, M. Al-Yami, Soret and Dufour effects in peristaltic transport of physiological fluids with chemical reaction: A mathematical Analysis, Computers and Fluids, 70, (2014) 242–253.
  • T. Hayat, H. Zahir, A. Tanveer, A. Alsaedi, Influence of Hall current and chemical reaction in mixed convective peristaltic flow of Prandlt fluid, Journal of Magnetism and Magnetic materials,407, (2016) 321–327.
  • M. G. Reddy, K. V. Reddy, Influence of Joule heating on MHD peristaltic flow of a nanofluid with compliant walls, Procedia Engineering, 127, (2015) 1002–1009.
  • K. V. Reddy, O. D. Makinde, M. G. Reddy, Thermal analysis of MHD electro-osmotic peristaltic pumping of Casson fluid through a rotating asymmetric micro-channel, Indian Journal of Physics, 92(11), (2018) 1439–1448.
  • M. G. Reddy, B. C. Prasannakumara, O. D. Makinde, Cross diffusion impacts on hydromagnetic radiative peristaltic Carreau-Casson nanofluids flow in an irregular channel, Defect and Diffusion Forum, 377, (2017) 62–83.
  • O. D. Makinde, M. Gnaneswara Reddy, K. Venugopal Reddy, Effects of Thermal Radiation on MHD Peristaltic Motion of Walters-B Fluid with Heat Source and Slip Conditions, Journal of Applied Fluid Mechanics, 10(4), (2017) 1105–1112.
  • M. Gnaneswara Reddy, K. Venugopal Reddy, O. D. Makinde, Hydromagnetic peristaltic motion of a reacting and radiating couple stress fluid in an inclined asymmetric channel filled with a porous medium, Alexandria Engineering Journal, 55(2), (2016) 1841–1853.
There are 32 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Asha Kotnurkar 0000-0001-6755-7629

Chandrashekar Hadapad 0000-0002-7089-7998

Early Pub Date December 30, 2021
Publication Date December 31, 2021
Published in Issue Year 2021 Volume: 10 Issue: 3

Cite

APA Kotnurkar, A., & Hadapad, C. (2021). Magnetohydrodynamic peristaltic transport of Casson fluid embedded with chemical reaction in an asymmetrical permeable conduit. Journal of New Results in Science, 10(3), 98-113.
AMA Kotnurkar A, Hadapad C. Magnetohydrodynamic peristaltic transport of Casson fluid embedded with chemical reaction in an asymmetrical permeable conduit. JNRS. December 2021;10(3):98-113.
Chicago Kotnurkar, Asha, and Chandrashekar Hadapad. “Magnetohydrodynamic Peristaltic Transport of Casson Fluid Embedded With Chemical Reaction in an Asymmetrical Permeable Conduit”. Journal of New Results in Science 10, no. 3 (December 2021): 98-113.
EndNote Kotnurkar A, Hadapad C (December 1, 2021) Magnetohydrodynamic peristaltic transport of Casson fluid embedded with chemical reaction in an asymmetrical permeable conduit. Journal of New Results in Science 10 3 98–113.
IEEE A. Kotnurkar and C. Hadapad, “Magnetohydrodynamic peristaltic transport of Casson fluid embedded with chemical reaction in an asymmetrical permeable conduit”, JNRS, vol. 10, no. 3, pp. 98–113, 2021.
ISNAD Kotnurkar, Asha - Hadapad, Chandrashekar. “Magnetohydrodynamic Peristaltic Transport of Casson Fluid Embedded With Chemical Reaction in an Asymmetrical Permeable Conduit”. Journal of New Results in Science 10/3 (December 2021), 98-113.
JAMA Kotnurkar A, Hadapad C. Magnetohydrodynamic peristaltic transport of Casson fluid embedded with chemical reaction in an asymmetrical permeable conduit. JNRS. 2021;10:98–113.
MLA Kotnurkar, Asha and Chandrashekar Hadapad. “Magnetohydrodynamic Peristaltic Transport of Casson Fluid Embedded With Chemical Reaction in an Asymmetrical Permeable Conduit”. Journal of New Results in Science, vol. 10, no. 3, 2021, pp. 98-113.
Vancouver Kotnurkar A, Hadapad C. Magnetohydrodynamic peristaltic transport of Casson fluid embedded with chemical reaction in an asymmetrical permeable conduit. JNRS. 2021;10(3):98-113.


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