Current issue
Archive
About the Journal
About
Editorial Board
Abstract & Indexing
Contact
Editorial Policies
Authorship & COI
Ethical principles
Principles of Transparent Checklist
Open access
For Authors
Instructions to Authors
Detailing Guidelines for Authors
Review process
Review sheet
How to submit
Open Access license
ORIGINAL PAPER
Unsteady MHD 2- liquid heat transmission plasma flow in a rotating system with Hall Currents via permeable conducting plates
1
Department of Engineering Mathematics, Andhra University, Visakhapatnam,Pin code: 530003 A.P., India
2
Basic Sciences, M.V.G.R. College of Engineering, Vizianagaram, A.P., INDIA
These authors had equal contribution to this work
Submission date: 2025-02-17
Final revision date: 2025-09-25
Acceptance date: 2025-11-12
Online publication date: 2026-03-16
Publication date: 2026-03-16
Corresponding author
T.Linga Raju
Department of Engineering Mathematics, Andhra University, Visakhapatnam,Pin code: 530003 A.P., India
Department of Engineering Mathematics, Andhra University, Visakhapatnam,Pin code: 530003 A.P., India
International Journal of Applied Mechanics and Engineering 2026;31(1):137-164
KEYWORDS
TOPICS
ABSTRACT
A theoretical study is conducted on an unstable magneto hydrodynamic two-phase heat transfer plasma flow within a horizontal channel, which is bounded by conducting and permeable plates. The analysis takes place in a rotating frame of reference and includes the effect of Hall current. The regular perturbation approach determines the governing differential equations under the adopted conditions. The velocity and thermal distribution are visually resolved, and a parametric study is executed. Two fluid flow and heat transmission factors are affected by governing characteristics like as the porosity parameter, Hall parameter, Hartmann number, Taylor’s number, height, electrical, viscosity, and thermal conductivity ratios.
REFERENCES (47)
2.
Spitzer L.Jr. (1956): Physics of Fully Ionized Gases.–Inter Science Publishers, New York.
3.
Sato H. (1961): The Hall effect in the viscous flow of ionized gas between parallel plates under transverse magnetic field.– J. Phys. Soc. Japan., vol.16, No.7, pp.1427-1433. https://doi.org/10.1143/JPSJ.1....
4.
Sutton G.W. and Sherman A. (1965): Engg. Magnetohydrodynamics.–New York, McGraw-Hill.
5.
Cramer K.R. and Pai Shih-I. (1973): Magneto-fluid Dynamics for Engineers and Applied Physicists.– McGraw-Hill Company.
6.
Ram P.C.(1991): MHD convectiveflow in a rotating fluid with Hall and ion-slip currents.– Heat and Mass Transfer, vol.26, No.4, pp.203-205, https://doi.org/10.1007/BF0159....
7.
Linga Raju T. and Ramana RaoV.V.(1993): Hall effects on temperature distribution in a rotating ionized hydro magnetic flow between parallel walls.−Int. J. Engg. Sci., vol.31, No.7, pp.1073-1091.
8.
Takhar H.S, Chamkha A.J. and Nath G. (2002): MHD flow over a moving plate in a rotating fluid with magnetic field, Hall currents and free stream velocity.– Int.J.Eng.Sci.,vol.40,No.13, pp.1511-1527, https://doi.org/10.1016/S0020-....
9.
Morley N.B., Malang S. and Kirillov I. (2005):Thermo-fluid magneto hydrodynamic issues for liquid breeders.–Fusion Science and Technology, vol.47, pp.488-501,https://doi.org/10.13182/FST05....
10.
Attia H.A. (2006): Effect of Hall current on the velocity and temperature distributions of Couette flow with variable properties.– PhysicaA.,vol.371,No.2, pp.195-208,https://doi.org/10.1016/j.phys....
11.
GhoshS.K., Beg O.A. and Narahari M. (2009): Hall effects on MHD flow in a rotating system with heat transfer characteristics.–Mecanica, vol.44, pp.741-765, https://doi.org/10.1007/s11012....
12.
Jha B.K. and Apere C.A. (2010): Combined effects of Hall and ion-slip currents on unsteady MHD Couette flows in a rotating system.– J. Phys. Soc. Japan, vol.79, https://doi.org/10.1143/JPSJ.7....
13.
Siddia S., Hossain M.A. and Gorla R.S.R. (2013):Hall current effects on magnetohydrodynamic natural convection flow with strong cross magnetic field.– Int.J. ThermalSciences, vol.71, pp.196-204, https://doi.org/10.1016/j.ijth....
14.
Makinde O.D., Iskander T., Mabood F., Khan W.A. and Tshehla M.S. (2016):MHD Couette-Poiseuille flow of variable viscosity nanofluids in a rotating permeable channel with Hall effects.–Journal of Molecular Liquids, vol.221, pp.778-787, DOI: 10.1016/j.molliq.2016.06.037.
15.
Das S. and Deka R.K. (2021):Effects of Hall current and rotation on unsteady MHD Couette flow with heat transfer in a porous medium.–Journal of Applied Fluid Mechanics, vol.14, No.1, pp.239-250.
16.
Linga Raju T. and Satish P.(2023): Hall and rotation effects on magneto hydrodynamics two fluids slip flow of ionized gases via parallel conduit.– Heat Transfer, vol.52,No.7,pp.4829-4856,https://doi.org/10.1002/htj.22....
17.
Attia H.A. (2009): Effect of Hall current on the velocity and temperature distributions of Couette flow with variable properties and uniform suction and injection.– Int. Journal of Computational and Applied Mathematics, vol.28,No.2, pp.195-212, https://doi.org/10.1590/S1807-....
18.
Ahmed N. and Goswami J.K. (2011): Hall effect on MHD forced convection from an infinite porous plate with dissipative heat in a rotating system.– Turkish Journal of Physics,vol.35,No.3,pp.293-302, https://doi.org/10.3906/fiz-10....
19.
Das S. and Mandal H.K. and Jana, R.N.(2013): Hall effects on unsteady rotating MHD flow through porous channel with variable pressure gradient.–Int. J. Computer Applications,vol.83, No.1,pp.7-18. https://doi.org/10.5120/14410-....
20.
Khaled K. and Jaber (2015):Influence of Hall current and viscous dissipation on MHD convective heat and mass transfer in a rotating porous channel with Joule heating.– American Journal of Mathematics and Statistics, vol.5, No.5, pp.272-284, https://doi.org/10.5923/j.ajms....
21.
Singh J.K., Begum S.G. and Seth G.S. (2018): Influence of Hall current and wall conductivity on hydromagnetic mixed convective flow in a rotating Darcian channel.−Physics of Fluids, vol.30, No.11, pp.113602-1-12,https://doi.org/10.1063/1.5054....
22.
Linga Raju T. and Valli M.N. (2023): Unsteady two-fluid flow and heat transfer of conducting fluids in conducting fluids in channels under transverse magnetic field.–J. Engineering Physics and Thermophysics (JEPTR), Springer Publishers, Scopus, vol.96, No.5, pp.1289, 0062-0125/23/9605-1278, Springer Science+Business Media, LLC.
23.
Das D., Shaw S., Mondal K.K. and Kairi R.R. (2023): Analyzing the impact of boundary slip and absorption effects on the dispersion of solute in a pulsatile channel flow of Casson fluid under magnetic field.– European Physical Journal Plus, vol.138, art.372, DOI: 10.1140/epjp/s13360-023-03973-8.
24.
Packham B.A. and Sail R. (1971): Stratified laminar flow of two immiscible fluids.– Proc. Camb. Phil. Soc., vol.69, pp.443-448.
25.
Lohrasbi J. and Sahai V. (1988): Magnetohydrodynamic heat transfer in two phase flow between parallel plates.– Appl. Sci. Res., vol.45, pp.53-66,https://doi:10.1007/BF00384182.
26.
AbdElmaboud Y., Abdesalam S.I., Mekheimer Kh.S. and Vafai K. (2019): Electromagnetic flow for two-layer immiscible fluids.– Eng. Sci. Technol. Int. J., vol.22, No.1, pp.237-248.
27.
Roy A.K. and Shaw S. (2021):Shear augmented micro vascular solute transport with a two- phase model: Application in nano particle assisted drug delivery.–Physics of Fluids, vol.33, No.3, art.031904, DOI:10.1063/5.0035754.
28.
Shail R. (1973): On laminar two-phase flows in magnetohydrodynamics.− Int. J. Engg. Sci., vol.11, pp.1103-1109, https://doi.org/10.1016/0020-7....
29.
Kalra G.L., Kathura S.N., Hosking R.J. and Lister G.G.(1970):Effect of Hall current and resistivity on the stability of a gas-liquid system.– Journal of Plasma Physics., vol.4, No.3, pp.451-469,https://doi.org/10.1017/S00223....
30.
Linga Raju T. and Satish P.(2023): MHD two liquid plasma heat transfer flow with Hall current between parallel plates.– International Journal of Applied Mechanics and Engineering,vol.28,No.3, pp.65-85, https://doi.org/10.59441/ijame....
31.
Umavathi J.C., Mateen A., Chamkha A.J. and Al-Mudhaf A. (2006): Oscillatory Hartmann two-fluid flow and heat transfer in a horizontal channel.−Int.J.Appl.Mech. and Engg.,vol.11, No.1, pp.155-178.
32.
Linga Raju T. and Nagavalli M. (2014): MHD two-layered unsteady fluid flow and heat transfer through a horizontal channel between parallel plates in a rotating system.−Int. J. Appl. Mech. and Engg., vol.19, No.1, pp.97-121, https://doi.org/10.2478/ijame-....
33.
Sharma P.R. and Sharma Kalpana (2014): Unsteady MHD two-fluid flow and heat transfer through a horizontal channel.−Int. J. of Engineering Science Invention Research and Development., vol.1, No.3, pp.65-72.
34.
Sivakamini L and Govindarajan A. (2019): Unsteady MHD flow of two immiscible fluids under chemical reaction in a horizontal channel.−AIP conference proceedings 2112. pp.020157-1 to 9, DOI.org/10.1063/1.5112342. https://doi.org/10.1063/1.5112....
35.
Linga Raju T.(2019): MHD heat transfer two-ionized fluids flow between two parallel plates with Hall currents.–Results in Eng., ELSEVIER Scopus Indexed Journal, vol.4, pp.100043,https://doi.org/10.1016/j.rine....
36.
Linga Raju T.and Satish P.(2023): Slip regime MHD 2-liquid plasma heat transfer flow with hall currents between parallel.– Int. J. of Applied Mechanics and Engg., vol.28,No.3, pp.65-85,https://doi.org/ 10.59441/ijame/172898.
37.
Linga Raju T. and Satish P.(2023): Heat transfer rotating MHD two-liquid slip flow regime with Hall current.– Heat Transfer.,vol.52, No.7, pp.4640-4661, https://doi.org/10.1002/htj.22....
38.
Linga Raju T.and Venkata Rao B. (2022): Unsteady electro magneto hydrodynamic flow and heat transfer of two ionized fluids in a rotating system with Hall currents.– Int. J. App. Mech. Eng. vol.27, No.1, pp.125-145, https://doi.org/10.2478/ijame-....
39.
Linga Raju T. and Venkata Rao B. (2022): The Hall Effect on MHD 2-Fluid Unsteady Heat Transfer Flow of Plasma in a Rotating System via a Straight Channel Between Conducting Plates.– Int. J. App. Mech. Eng. vol.27, No.3, pp.137-162. https://doi.org/10.2478/ijame-....
40.
Nikodijevic M., Stamenkovic Z., Petrovic J. and Kocic M. (2020): Unsteady fluid flow and heat transfer through a porous medium in a horizontal channel with an inclined magnetic field.– Transactions of FAMENA., vol.44, No.4, pp.31-46, DOI:10.21278/TOF.444014420.
41.
Khader M.M. and Ram Prakash Sharma (2021): Evaluating the unsteady MHD micropolar fluid flow past stretching/shirking sheet with heat source and thermal radiation: Implementing fourth order predictor-corrector FDM.– Math. and Comp. in Sim., vol.181,pp.333-350, https://doi.org/10.1016/j.matc....
42.
Ram Prakash Sharma and Mishra S.R. (2022): A numerical simulation for the control of radiative heat energy and thermophoretic effects on MHD micropolar fluid with heat source.–Journal of Ocean Engineering and Science, vol.7, No.1, pp.92-98,https://doi.org/10.1016/j.joes....
43.
Ram Prakash Sharma and Debasish Gorai (2024): Unveiling the dynamic symphony of melting heat transfer in the flow between a stretching Riga plate and a squeezing plate.– Int. Communications in Heat and Mass Transfer, vol.156, article 107565, https://doi.org/10.1016/j.iche....
44.
Abhishek Sharma and Ram Prakash Sharma (2025): Utilizing neural networks to illustrate the dynamics of viscous fluid flow over curved surface with homogeneous and heterogeneous reactions.– Engineering Applications of Artificial Intelligence, vol.159, Part A, https://doi.org/10.1016/j.enga....
45.
Ram Prakash Sharma, Bimal Kumar Barik, Vinay Kumar V. and Abhishek Sharma (2025): Illustration of low oscillating magnetic field on sodium alginate-based hybrid nano-fluid flow between two revolving disks: An artificial neural network-based study.– Engineering App. of Artificial Intelligence, vol.155, https://doi.org/10.1016/j.enga....
46.
Vinay Kumar V. and Ram Prakash Sharma (2025): Entropy generation minimization in nuclear reactor cooling via rough rotating disk: a statistical approach.– Multi Scale and Multidisciplinary Modelling, Experiments and Design, vol.8, No.5, https://doi.org/10.1007/s41939....
47.
Spitzer Jr. L. (1956): Physics of Fully Ionized Gases.– Inter Science Publishers, New York.
Share
RELATED ARTICLE
| eISSN: | 2353-9003 |
| ISSN: | 1734-4492 |
Task: edition of a scientific journal, its internationalization and ensuring open access to the journal via the Internet
© 2006-2026 Journal hosting platform by Bentus
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
