SLIP EFFECTS ON PERISTALTIC TRANSPORT OF A MAXWELL FLUID WITH HEAT AND MASS TRANSFER

2012 ◽  
Vol 12 (01) ◽  
pp. 1250001 ◽  
Author(s):  
T. HAYAT ◽  
S. HINA ◽  
AWATIF A. HENDI

Analysis has been carried out to examine the heat and mass transfer effects on the magnetohydrodynamics (MHD) peristaltic flow in a channel with compliant walls. An incompressible Maxwell fluid occupies the porous space. Modified Darcy's law and slip conditions are used in the problem formulation. Solutions for small wave number are derived. The effects of emerging parameters in the obtained solutions are displayed and discussed.

2010 ◽  
Vol 65 (12) ◽  
pp. 1128-1136 ◽  
Author(s):  
Tasawar Hayat ◽  
Sadia Hina ◽  
Awatif A. Hendi

The influence of slip on the magnetohydrodynamic (MHD) peristaltic flow in a planar channel with compliant walls is examined. An incompressible Maxwell fluid saturates the porous medium. An established solution is valid for small wave number. The mathematical expression of the stream function is presented. Several interesting flow parameters are sketched and examined.


2016 ◽  
Vol 829 ◽  
pp. 3-8
Author(s):  
Faisal Salah ◽  
K.K. Viswanathan ◽  
Z.A. Aziz

The effects of stimulated g-jitter which come together with heat and mass transfer by mixed convection in microgravity situation on MHD flow of Oldroyd - B fluid in porous space is investigated for a particular system. The system comprises of a pair of heated up perpendicular parallel infinite plates maintained at constant although various concentrations and temperatures. By using modified Darcy’s law, the equations governing the flow are modelled. These equations are solved exactly for the distributions of stimulated velocity, temperature and concentration. Interestingly the solutions for second grade and Maxwell fluids are recovered as new limiting cases of the present general results. Similar result in the relevant literature relating to Newtonian fluid is also obtained as a special case of the present solution. Finally particular attention is given to the graphical results for the velocity profiles of the oscillating flow in the channel. The analysis on the variations of embedded flow parameters in the solution expressions are presented and discussed.


2019 ◽  
Vol 9 (10) ◽  
pp. 2164 ◽  
Author(s):  
Sadia Waheed ◽  
Saima Noreen ◽  
Abid Hussanan

An analysis is carried out to evaluate the effects of heat and mass transfer in an electro-osmotic flow of third order fluid via peristaltic pumping. Solutions are derived for small wave number and Peclet number. The emerging non-linear mathematical model is solved analytically and compared numerically by the built-in scheme of working software. The table is inserted for shear stress distribution and a graph for comparison of solution techniques and accuracy of obtained results. The effects of various parameters of interest on pumping, trapping, temperature, heat transfer coefficient, and concentration distribution have been studied graphically. Electro-osmotic exchange of energy and mass has a role in reservoir engineering, chemical industry, and in micro-fabrication technologies.


2016 ◽  
Vol 219 ◽  
pp. 703-708 ◽  
Author(s):  
Jawad Raza ◽  
Azizah Mohd Rohni ◽  
Zurni Omar ◽  
Muhammad Awais

2020 ◽  
Vol 17 (1) ◽  
pp. 65-101 ◽  
Author(s):  
A. Ali ◽  
Soma Mitra Banerjee ◽  
S. Das

PurposeThe purpose of this study is to analyze an unsteady MHD Darcy flow of nonNewtonian hybrid nanoliquid past an exponentially accelerated vertical plate under the influence of velocity slip, Hall and ion slip effects in a rotating frame of reference. The fluids in the flow domain are assumed to be viscously incompressible electrically conducting. Sodium alginate (SA) has been taken as a base Casson liquid. A strong uniform magnetic field is applied under the assumption of low magnetic Reynolds number. Effect of Hall and ion-slip currents on the flow field is examined. The ramped heating and time-varying concentration at the plate are taken into consideration. First-order homogeneous chemical reaction and heat absorption are also considered. Copper and alumina nanoparticles are dispersed in base fluid sodium alginate to be formed as hybrid nanoliquid.Design/methodology/approachThe model problem is first formulated in terms of partial differential equations (PDEs) with physical conditions. Laplace transform method (LTM) is used on the nondimensional governing equations for their closed-form solution. Based on these results, expressions for nondimensional shear stresses, rate of heat and mass transfer are also determined. Graphical presentations are chalked out to inspect the impacts of physical parameters on the pertinent physical flow characteristics. Numerical values of the shear stresses, rate of heat and mass transfer at the plate are tabulated for various physical parameters.FindingsNumerical exploration reveals that a significant increase in the secondary flow (i.e. crossflow) near the plate is guaranteed with an augmenting in Hall parameter or ion slip parameter. MHD and porosity have an opposite effect on velocity component profiles for both types of nanoliquids. Result addresses that both shear stresses are strongly enhanced by the Casson effect. Also, hybrid nanosuspension in Casson fluid (sodium alginate) exhibits a lower rate of heat transfer than usual nanoliquid.Social implicationsThis model may be pertinent in cooling processes of metallic infinite plate in bath and hybrid magnetohydrodynamic (MHD) generators, metallurgical process, manufacturing dynamics of nanopolymers, magnetic field control of material processing, synthesis of smart polymers, making of paper and polyethylene, casting of metals, etc.Originality/valueThe originality of this study is to obtain an analytical solution of the modeled problem by using the Laplace transform method (LTM). Such an exact solution of nonNewtonian fluid flow, heat and mass transfer is rare in the literature. It is also worth remarking that the influence of Hall and ion slip effects on the flow of nonNewtonian hybrid nanoliquid is still an open question.


2015 ◽  
Vol 15 (04) ◽  
pp. 1550042 ◽  
Author(s):  
S. HINA ◽  
M. MUSTAFA ◽  
T. HAYAT ◽  
A. ALSAEDI

Analysis is performed for the simultaneous effects of heat and mass transfer on the peristaltic transport of an electrically conducting couple-stress fluid in a compliant walls channel. The study may be useful in understanding the physiological flow of blood through micro-circulatory system in the presence of particle-size effect. Long wavelength and low Reynolds number aspects are taken into consideration. Exact solutions for stream function, temperature and concentration are derived. Impact of pertinent parameters like the couple-stress fluid parameter (γ), Hartman number (M), amplitude ratio (ϵ), elastic parameters (E1, E2, E3, E4, E5), Brinkman number (Br) and Schmidt number (Sc). It is observed that velocity and temperature distributions are greater for couple stress fluid when compared with the Newtonian fluid.


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