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Abstract

Semi-analytic solution representing the time-dependent Couette flow of conducting fluid-particle in a permeable channel is presented in the existence of a magnetic field. The magnetic field is anticipated to be positioned either with the conducting fluid-particle or positioned with the moving wall. Solution to the coupled flow equations is found and given in the Laplace domain. Expressions for fluid-particle velocity and their corresponding skin friction are also found. Influence of a number of flow parameters on flow formation in the permeable channel is demonstrated. Results indicate that, increase in Hartmann number dampens both fluid velocity and particle fluid velocity when the magnetic field is positioned relative to the conducting fluid, while it augments the flow when the magnetic field is positioned relative to the moving plate. In conclusion, it is realized that growing the injection velocity augments the momentum boundary layer yielding an increase in fluid-particle velocity.

Keywords

MHD Couette flow two phase flow Riemann sum approximation suction/injection

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References

Saffman

. On the stability of laminar flow of a dusty gas. J Fluid Mech 1962; 13: 120–128.

Chamkha

. “Effects of particulate diffusion on the compressible boundary layer flow of a two-phase suspension over a horizontal surface”. Trans ASME J Fluids Eng 1998; 1201: 46–151.

Nag

Jana

Datta

. Couettte flow of a dusty gas. Acta Mech 1979; 33: 179–187.

Attia

. Unsteady MHD Couette flow and heat transfer of dusty fluid with variable physical properties. Appl Math Comput 2005; 177: 308–318.

Makinde

Chinyoka

. MHD Transient flows and heat transfer of dusty fluid in a channel with variable physical properties and Navier slip condition. Comput Math Appl 2010; 60: 660–669.

Gireesha

Bagewadi

Prasanna Kumara

. Flow of unsteady dusty fluid under varying pulsatile pressure gradient in anholonomic co-ordinate system. EJTP 2007; 14: 9–16.

Rashmi

Kavitha

Saba Roohi

, et al. Unsteady flow of a dusty fluid between two oscillating plates under varying constant pressure gradient. Novi Sad J Math 2007; 37: 25–34.

Naramgari

Sulochana

. MHD Flow of dusty nanofluid over a stretching surface with volume fraction of dust particles. Ain Sham Eng J 2016; 7: 709–716.

Jha

Apere

. Unsteady two-phase Couette flow of fluid-particle suspension. Appl Math Model 2013; 37: 1920–1931.

10.

Jha

Apere

. Unsteady MHD Couette flow in an annuli: Riemann-sum approximation approach. J Phys Soc Jpn 2010; 79: 124403.

11.

Borkakotia

Bharali

. Hydromagnetic flow and heat transfer between two horizontal plates, the lower plate being a stretching sheet. Q Appl Math 1983; 40(4): 461–467.

12.

Megahed

Aboul-Hassan

Sharaf El-Din

, “Effect of Joule and viscous dissipation on temperature distributions through electrically conducting dusty fluid”, Fifth Miami International Symposium on Multi-Phase Transport and Particulate Phenomena, Miami, FL, USA, vol. 3, 1988, pp. 111.

13.

Aboul – Hassan

Sharaf El – Din

Megahed

, “Temperature distribution in a dusty conducting fluid flowing through two parallel infinite plates due to the motion of one of them”, First International Conference of Engineering Mathematics and Physics, Cairo, 1991, pp. 723–734.

14.

Recebli

Kurt

. Two-phase steady flow along a horizontal glass pipe in the presence of magnetic and electric fields. Int J Heat Fluid Flow 2008; 29: 263–268.

15.

Ghosh

. On hydromagnetic rotating flow of a dusty fluid near a pulsating plate. Comput Appl Math 2008; 27: 1–30.

16.

Rahmatulin

. Osnovi gidrodinamiki vzaimopronikayus_ih dvijeniy. Prikl Mat Mak 1956; 20: 56–65.

17.

Singh

. Unsteady flow of a conducting dusty fluid through a rectangular channel with time dependent pressure gradient. Indian J Pure Appl Math 1976; 8: 1124.

18.

Gersten

Gross

. Flow and heat transfer along a plane wall with periodic suction. J Appl Math Phys 1974; 25: 399–408.

19.

Umavathi

Chamkha

Mateen

, et al. Unsteady oscillatory flow and heat transfer in a horizontal composite porous medium channel. Nonlinear Anal Model Control 2009; 14: 397–415.

20.

Attia

Kotb

. MHD flow between two parallel plates with heat transfer. Acta Mech 1996; 117: 215–220.

21.

Gireesha

Chamkha

Vishalakshi

, et al. Three-dimensional Couette flow of a dusty fluid with heat transfer. Appl Math Model 2012; 36: 683–701.

22.

Tzou

. “A unified approach for heat conduction from macro-to micro-scale”. ASME J Heat Transfer 1995; 117: 8–16.

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Unsteady hydromagnetic Couette flow of fluid-particle suspension in a porous channel

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