i-manager Publications

Parabolic Form of Casson Fluid Flow based on Angle of Inclination in Conducting Field

Mummadisetty Umamaheswar*, Poli Chandra Reddy**, Singamala Harinath Reddy***, Baddela Hari Babu****

*-*** Department of Mathematics, Annamacharya Institute of Technology and Sciences, Rajampet, Andhra Pradesh, India.

**** Department of Mathematics, PACE Institute of Technology & Sciences (Autonomous), Ongole, Andhra Pradesh, India.

Periodicity:January - June'2023
DOI : https://doi.org/10.26634/jmat.12.1.19628

Abstract

A considerable analysis has been performed to draw out the flow properties of MHD Casson fluid in parabolic movement with several parameters. The novelty in the examination is the angle of inclination with the permeable vertical plate. The purpose of the work is to analyze the impact of some parameters on the flow in two cases namely, obtuse angle and acute angle. The solution of the flow governed equations is attained by the utilization of the finite divergence technique in explicit type. The nature of the fluid velocity is observed in the cases of acute angle and obtuse angle and described accordingly with the use of graphs and tables. One of the major findings is that for increasing values of porosity the velocity enhances in the case of acute angle and falls down in the case of obtuse angle.

Keywords

MHD, Parabolic Motion, Radiation Absorption, Casson Fluid, Chemical Reaction, Angle of Inclination.

How to Cite this Article?

Umamaheswar, M., Reddy, P. C., Reddy, S. H., and Babu, B. H. (2023). Parabolic Form of Casson Fluid Flow based on Angle of Inclination in Conducting Field. i-manager’s Journal on Mathematics, 12(1), 21-28. https://doi.org/10.26634/jmat.12.1.19628

References

[1]. Akbar, N. S., & Khan, Z. H. (2015). Metachronal beating of cilia under the influence of Casson fluid and magnetic field. Journal of Magnetism and Magnetic Materials, 378, 320-326.

[2]. Chamkha, A. J. (2000). Transient hydromagnetic three-dimensional natural convection from an inclined stretching permeable surface. Chemical Engineering Journal, 76(2), 159-168.

[3]. Endalew, M. F., & Sarkar, S. (2021). Incidences of aligned magnetic field on unsteady MHD flow past a parabolic accelerated inclined plate in a porous medium. Heat Transfer, 50(6), 5865-5884.

[4]. Goud, B. S., Srilatha, P., & Shekar, M. R. (2018). Study of Hall current and radiation effects on MHD free convective flow past an inclined parabolic accelerated Plate with variable temperature in a Porous medium. International Journal of Mechanical Engineering and Technology (IJMET), 9(7), 1268-1276.

[5]. Hamid, M., Zubair, T., Usman, M., Khan, Z. H., & Wang, W. (2019). Natural convection effects on heat and mass transfer of slip flow of time-dependent Prandtl fluid. Journal of Computational Design and Engineering, 6(4), 584-592.

[6]. Hayat, T., Shafiq, A., Alsaedi, A., & Asghar, S. (2015). Effect of inclined magnetic field in flow of third grade fluid with variable thermal conductivity. AIP Advances, 5(8), 087108.

[7]. Iftikhar, N., Riaz, M. B., Awrejcewicz, J., & Akgül, A. (2021). Effect of magnetic field with parabolic motion on fractional second grade fluid. Fractal and Fractional, 5(4), 163.

[8]. Jha, B. K., & Aina, B. (2021). MHD mixed convection flow in an inclined porous channel having time-periodic boundary condition (MHD mixed convection flow in an inclined porous channel). Journal of Porous Media, 24(6), 69-91.

[9]. Kataria, H. R., & Patel, H. R. (2018). Effect of thermo-diffusion and parabolic motion on MHD Second grade fluid flow with ramped wall temperature and ramped surface concentration. Alexandria Engineering Journal, 57(1), 73-85.

[10]. Kaushik, P., & Mishra, U. (2021). Numerical solution of free stream MHD flow with the effect of velocity slip condition from an inclined porous plate. Journal of Mathematical and Computational Science, 12, 1-14.

[11]. Khan, M., Saeed, S., Fetecau, C., & Azram, M. (2014). Influence of hall current on oscillatory Couette flow in the presence of an inclined magnetic field through porous medium. Journal of Porous Media, 17(1), 81-92.

[12]. Matao, P., Reddy, B. P., & Sunzu, J. (2022). Hall and rotation effects on radiating and reacting mhd flow past an accelerated permeable plate with Soret and Dufour effects. Trends in Sciences, 19(5), 2879-2879.

[13]. Patel, H. R. (2019). 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(4), e01555.

[14]. Rajput, U. S., & Kumar, G. (2016). Chemical reaction effect on unsteady MHD flow past an impulsively started oscillating inclined plate with variable temperature and mass diffusion in the presence of Hall current. Applied Research Journal, 2(5), 244-253.

[15]. Rao, B. M., Gopal, D., Kishan, N., Ahmed, S., & Prasad, P. D. (2020). Heat and mass transfer mechanism on threedimensional flow of inclined magneto Carreau nanofluid with chemical reaction. Archives of Thermodynamics, 41(2), 223- 238.

[16]. Reddy, B. P. (2019). Radiation and chemical reaction effects on unsteady MHD free convection parabolic flow past an infinite isothermal vertical plate with viscous dissipation. International Journal of Applied Mechanics and Engineering, 24(2), 343-358.

[17]. Reddy, P. C., Umamheswar, M., Reddy, S. H., Raju, A. M., & Raju, M. C. (2022). Numerical study on the parabolic flow of MHD fluid past a vertical plate in a porous medium. Heat Transfer, 51(4), 3418-3430.

[18]. Taid, B. K., & Ahmed, N. (2022). MHD free convection flow across an inclined porous plate in the presence of heat source, Soret effect, and chemical reaction affected by viscous dissipation Ohmic heating. Biointerface Research in Applied Chemistry, 12(5), 6280-6296.

[19]. Zeeshan, A., Majeed, A., Akram, M. J., & Alzahrani, F. (2021). Numerical investigation of MHD radiative heat and mass transfer of nanofluid flow towards a vertical wavy surface with viscous dissipation and Joule heating effects using Keller-box method. Mathematics and Computers in Simulation, 190, 1080-1109.

If you have access to this article please login to view the article or kindly login to purchase the article

Single Article

	North Americas,UK, Middle East,Europe		India	Rest of world
	USD	EUR	INR	USD-ROW
Online	15	15

ADD TO CART

Options for accessing this content:

If you would like institutional access to this content, please recommend the title to your librarian.
If you already have i-manager's user account: Login above and proceed to purchase the article.
New Users: Please register, then proceed to purchase the article.