scholarly journals Impact of partial slip and lateral walls on peristaltic transport of a couple stress fluid in a rectangular duct

2021 ◽  
Vol 104 (2) ◽  
pp. 003685042110136
Author(s):  
Safia Akram ◽  
Najma Saleem ◽  
Mir Yasir Umair ◽  
Sufian Munawar
Keyword(s):  
Couple Stress ◽  
Three Dimensional ◽  
Pressure Rise ◽  
Partial Slip ◽  
Couple Stress Fluid ◽  
Rectangular Duct ◽  
Peristaltic Pumping ◽  
Current Article ◽  
The Impact ◽  
Lateral Walls

The impact of lateral walls and partial slip with different waveforms on peristaltic pumping of couple stress fluid in a rectangular duct with different waveforms has been discussed in the current article. By means of a wave frame of reference the flow is explored travelling away from a fixed frame with velocity c. Peristaltic waves generated on horizontal surface walls of rectangular duct are considered using lubrication technique. Mathematical modelling of couple fluid for three-dimensional flow are first discussed in detail. Lubrication approaches are used to simplify the proposed problem. Exact solutions of pressure gradient, pressure rise, velocity and stream function have been calculated. Numerical and graphical descriptions are displayed to look at the behaviour of diverse emerging parameters.

Peristaltic Flow of Couple Stress Fluid in an Asymmetric Channel with Partial Slip

2018 ◽  
Vol 387 ◽  
pp. 385-402 ◽  
Author(s):  
R. Latha ◽  
B. Rushi Kumar ◽  
Oluwole Daniel Makinde
Keyword(s):  
Magnetic Field ◽  
Couple Stress ◽  
Pressure Rise ◽  
Mhd Flow ◽  
Wave Parameter ◽  
Partial Slip ◽  
Couple Stress Fluid ◽  
Asymmetric Channel ◽  
Heart Attacks ◽  
Axial Pressure Gradient

An analytical examination of a couple stress fluid in respect of the applied magnetic field was carried out using an asymmetric channel with slip condition and heat transfer. The flow problem had been formulated and then simplified by employing lubrication theory. By using wave parameter MHD flow of couple stress fluid was reduced to ODEs, of the governing PDEs. The expression for the axial velocity, pressure rise, stream function and axial pressure gradient are presented graphically and the physical applications discussed. The trapping phenomena and pumping characteristic are presented for couple stress parameter; slip parameter and Hartmann number are discussed. The present analysis revealed that the velocity of the blood increased as the viscosity of blood reduced by influencing the magnetic field strength. This result was very much important at the time of strokes and heart attacks during thicker blood damage in blood vessels.

scholarly journals Transport of MHD Couple Stress Fluid Through Peristalsis in a Porous Medium Under the Influence of Heat Transfer and Slip Effects

2017 ◽  
Vol 22 (2) ◽  
pp. 403-414 ◽  
Author(s):  
G.C. Sankad ◽  
P.S. Nagathan
Keyword(s):  
Heat Transfer ◽  
Porous Medium ◽  
Couple Stress ◽  
Hartmann Number ◽  
Peristaltic Flow ◽  
Couple Stress Fluid ◽  
Brinkman Number ◽  
Slip Effects ◽  
Adaptability Parameters ◽  
The Impact

AbstractAn attempt has been made to examine the effects of magnetohydrodynamic couple stress fluid in peristaltic flow with porous medium under the impact of slip, heat transfer and wall properties. The expressions are obtained for temperature, coefficient of heat transfer and velocity. Influences of different parameters, the Hartmann number, Brinkman number and adaptability parameters on the temperature and warmth trade coefficient are discussed through outlines.

APPLICATION OF DRUG DELIVERY IN MAGNETOHYDRODYNAMICS PERISTALTIC BLOOD FLOW OF NANOFLUID IN A NON-UNIFORM CHANNEL

2016 ◽  
Vol 16 (04) ◽  
pp. 1650052 ◽  
Author(s):  
M. ALI ABBAS ◽  
Y. Q. BAI ◽  
M. M. RASHIDI ◽  
M. M. BHATTI
Keyword(s):  
Drug Delivery ◽  
Blood Flow ◽  
Three Dimensional ◽  
Pressure Rise ◽  
Creeping Flow ◽  
Friction Forces ◽  
Grashof Number ◽  
Long Wavelength ◽  
Uniform Channel ◽  
The Impact

In this paper, we have studied the application of drug delivery in magnetohydrodynamics (MHD) peristaltic blood flow of nanofluid in a non-uniform channel. The governing equation of motion and nanoparticles are modeled under the consideration of creeping flow and long wavelength. The resulting non-linear coupled differential equation is solved with the help of perturbation. Numerical Integration has been used to obtain the results for pressure rise and friction forces. The impact of various pertinent parameters on temperature profile, concentration profile such as density Grashof number, thermal Grashof number, Brownian motion parameter, thermophoresis parameter and MHD is demonstrated mathematically and graphically. The present analysis is also applicable for three-dimensional profile.

scholarly journals Study of Slip Effects in Reverse Roll Coating Process Using Non-Isothermal Couple Stress Fluid

Coatings ◽  
2021 ◽  
Vol 11 (10) ◽  
pp. 1249
Author(s):  
Hasan Shahzad ◽  
Xinhua Wang ◽  
Muhammad Bilal Hafeez ◽  
Zahir Shah ◽  
Ahmed Mohammed Alshehri
Keyword(s):  
Pressure Gradient ◽  
Flow Rate ◽  
Couple Stress ◽  
Velocity Ratio ◽  
Closed Form Solution ◽  
Couple Stress Fluid ◽  
Slip Parameter ◽  
Roll Coating ◽  
Stress Parameter ◽  
The Impact

The non-isothermal couple stress fluid inside a reverse roll coating geometry is considered. The slip condition is considered at the surfaces of the rolls. To develop the flow equations, the mathematical modelling is performed using conservation of momentum, mass, and energy. The LAT (lubrication approximation theory) is employed to simplify the equations. The closed form solution for velocity, temperature, and pressure gradient is obtained. While the pressure and flow rate are obtained numerically. The impact of involved parameters on important physical quantities such as temperature, pressure, and pressure gradient are elaborated through graphs and in tabular form. The pressure and pressure gradient decreases for variation of the couple stress parameter and velocity ratio parameter K. While the variation of the slip parameter increases the pressure and pressure gradient inside the flow geometry. Additionally, flow rate decreases for the variation of the slip parameter as fluid starts moving rapidly along the roller surface. The most important physical quantity which is responsible for maintaining the quality of the coating and thickness is flow rate. For variation of both the couple stress parameter and the slip parameter, the flow rate decreases compared to the Newtonian case, consequently the coating thickness decreases for the variation of the discussed parameter.

Entropy generation and MHD analysis of a nanofluid with peristaltic three dimensional cylindrical enclosures

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Arshad Riaz ◽  
T. Abbas ◽  
A. Zeeshan ◽  
Mohammad Hossein Doranehgard
Keyword(s):  
Entropy Generation ◽  
Numerical Technique ◽  
Three Dimensional ◽  
Pressure Rise ◽  
Mathematical Tool ◽  
Content Type ◽  
Physical Constraints ◽  
Peristaltic Pumping ◽  
Innovative Idea ◽  
Novel Drug

Purpose Entropy generation in nanofluids with peristaltic scheme occupies a primary consideration in the sense of its application in clinical, as well as the industrial field in terms of improved thermal conductivity of the original fluid. Three-dimensional cylindrical configurations are the most realistic and commonly used geometries which incorporate most of the experimental equipment. In the current study, three-dimensional cylindrical enclosures have been assumed to receive the results of entropy generation occurring due to viscous dissipation, heat transfer of nanofluid and mass concentration of nanoparticles through peristaltic pumping. Applications of the study can be found in peristaltic micro-pumps and novel drug delivery mechanism in pharmacological engineering. Design/methodology/approach The equations of interest have been structured under physical constraints of lubrication theory and dimensionless strategy. Finalized relations involve highly complicated partial differential equations whose solutions are tabulated through some perturbation procedure and expression of pressure rise is manipulated by a numerical technique through built-in command NIntegrate on Mathematical tool “Mathematica.” Findings It is evaluated that entropy production goes linear with the greater magnitudes of Brownian motion but inverse characteristics have been sorted against thermophoresis factor. Originality/value To the best of authors’ knowledge, this study does not exist in literature yet and it contains a new innovative idea.

scholarly journals Exact Solution for Peristaltic Flow of Jeffrey Fluid Model in a Three Dimensional Rectangular Duct having Slip at the Walls

2014 ◽  
Vol 11 (1-2) ◽  
pp. 81-90 ◽  
Author(s):  
Arshad Riaz ◽  
S. Nadeem ◽  
R. Ellahi ◽  
A. Zeeshan
Keyword(s):  
Exact Solution ◽  
Fluid Model ◽  
Rectangular Channel ◽  
Three Dimensional ◽  
Pressure Rise ◽  
Peristaltic Flow ◽  
Jeffrey Fluid ◽  
Long Wavelength ◽  
Peristaltic Pumping ◽  
Stream Functions

In the present article, we tried to develop the exact solutions for the peristaltic flow of Jeffrey fluid model in a cross section of three dimensional rectangular channel having slip at the peristaltic boundaries. Equation of motion and boundary conditions are made dimensionless by introducing some suitable nondimensional parameters. The flow is considered under the approximations of low Reynolds number and long wavelength. Exact solution of the obtained linear boundary value problem is evaluated. However, the expression for pressure rise is calculated numerically with the help of numerical integration. All pertinent parameters are discussed through graphs of pressure rise, pressure gradient, velocity and stream functions. It is found that presence of slip at the walls reduces the flow velocity but increases the peristaltic pumping characteristics.

Effects of Joule Heating and Convective Boundary Conditions on Magnetohydrodynamic Peristaltic Flow of Couple-Stress Fluid

2016 ◽  
Vol 138 (9) ◽  
Author(s):  
Saima Noreen
Keyword(s):  
Boundary Conditions ◽  
Joule Heating ◽  
Couple Stress ◽  
Pressure Rise ◽  
Couple Stress Fluid ◽  
Convective Boundary Conditions ◽  
Convective Boundary ◽  
Long Wavelength ◽  
Basic Equations ◽  
Velocity Pressure

Peristaltic motion of couple-stress fluid with Joule heating through asymmetric channel under the effect of magnetic field is investigated. Robin-type (convective) boundary conditions are employed. The basic equations of couple-stress fluid are modeled in wave frame of reference by utilizing long wavelength and low Reynolds number approximation. Numerical solution of the resulting problem is analyzed. The effects of various parameters of interest on the velocity, pressure rise, and temperature are discussed and illustrated graphically.

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