scholarly journals Effect of Couple Stress Fluid in an Irregular Couette Flow Channel: An Analytical Approach

2021 ◽  
Vol 12 (4) ◽  
pp. 4686-4704
Keyword(s):  
Couette Flow ◽  
Chemical Reaction ◽  
Couple Stress ◽  
Soret Effect ◽  
Momentum Equation ◽  
Couple Stress Fluid ◽  
Radiation Absorption ◽  
Linear Differential ◽  
Heat Transfers ◽  
Ordinary Linear Differential Equations

The work embodied in this paper presents the combined effects of Soret, chemical reaction, and Dufour on Couette flow in an irregular channel for dusty viscoelastic couple stress fluid. The behavior of the boundary layer is studied with the help of Brinkman-Forchheimer's extended Darcy model as a momentum equation for the unsteady, incompressible dusty viscoelastic fluid. The heat transfers are considered due to the radiation absorption parameter and Dufour effect, the mass transfer influenced by the chemical reaction, and the Soret effect. The boundary conditions of the problem and leading equations of the physical problem are solved by a similarity transformation, and the consequent ordinary linear differential equations are solved by the perturbation method. The obtained results are shown graphically. The computational results show a good agreement between our values and a particular case of the earlier work.

scholarly journals Soret and dufour effects on free convection flow of a couple stress fluid in a vertical channel with chemical reaction

2013 ◽  
Vol 19 (1) ◽  
pp. 45-55 ◽  
Author(s):  
D. Srinivasacharya ◽  
K. Kaladhar
Keyword(s):  
Differential Equations ◽  
Chemical Reaction ◽  
Couple Stress ◽  
Vertical Channel ◽  
Couple Stress Fluid ◽  
Convection Flow ◽  
Parallel Plates ◽  
Soret And Dufour Effects ◽  
Similarity Transformations ◽  
Dufour Number

The Soret and Dufour effects in the presence of chemical reaction on natural convection heat and mass transfer of a couple stress fluid in a vertical channel formed by two vertical parallel plates is presented. The governing non-linear partial differential equations are transformed into a system of ordinary differential equations using similarity transformations. The resulting equations are then solved using Homotopy Analysis Method (HAM). Profiles of dimensionless velocity, temperature and concentration are shown graphically for various values of Dufour number, Soret number, Couple stress parameter and chemical reaction parameter.

Mixed convection flow of couple stress fluid between rotating discs with chemical reaction and double diffusion effects

2016 ◽  
Vol 5 (4) ◽  
Author(s):  
K. Kaladhar ◽  
D. Srinivasacharya
Keyword(s):  
Chemical Reaction ◽  
Couple Stress ◽  
Double Diffusion ◽  
Couple Stress Fluid ◽  
Convection Flow ◽  
Rotating Disks ◽  
Soret And Dufour Effects ◽  
Rotating Discs ◽  
Diffusion Effects ◽  
Lower Disc

AbstractThe chemical reaction, Soret and Dufour effects on steady flow of a couple stress fluid between two rotating disks are studied. The lower disc is rotating with angular velocity

scholarly journals Impact of nanofluids and magnetic field on the peristaltic transport of a couple stress fluid in an asymmetric channel with different wave forms

2020 ◽  
Vol 24 (2 Part B) ◽  
pp. 1407-1422
Author(s):  
Safia Akram ◽  
Farkhanda Afzal ◽  
Qamar Afzal
Keyword(s):  
Magnetic Field ◽  
Couple Stress ◽  
Peristaltic Flow ◽  
Couple Stress Fluid ◽  
Physical Parameters ◽  
Asymmetric Channel ◽  
Nanoparticle Concentration ◽  
Long Wavelength ◽  
Wave Forms ◽  
Linear Differential

The present article deals with the effects of nanoparticles and magnetic field on the peristaltic flow of a couple stress fluid in an asymmetric channel with different wave forms. Mathematical modelling for 2-D and two directional flows of a couple stress fluid along with nanofluid are first given and then simplified under the assumptions of long wavelength and low Reynolds number approximation. After invoking these approximations we get coupled non-linear differential equations. The exact solutions of temperature distribution, the nanoparticle concentration, velocity, stream function and pressure gradient are calculated. Finally graphical results of various physical parameters of interest are discussed to examine the behavior of flow quantities.

scholarly journals Magnetized couple stress fluid flow past a vertical cylinder under thermal radiation and viscous dissipation effects

2021 ◽  
Vol 10 (1) ◽  
pp. 343-362
Author(s):  
Suresha Suraiah Palaiah ◽  
Hussain Basha ◽  
Gudala Janardhana Reddy
Keyword(s):  
Magnetic Field ◽  
Porous Medium ◽  
Fluid Flow ◽  
Thermal Radiation ◽  
Chemical Reaction ◽  
Couple Stress ◽  
Chemical Engineering ◽  
Polymer Processing ◽  
Couple Stress Fluid ◽  
Radiation Chemical

Abstract Contemporary investigation studies the silent features of the dissipative free convection couple stress fluid flow over a cylinder under the action of magnetic field, thermal radiation and porous medium with chemical reaction effect. Present two-dimensional viscous incompressible physical model is designed based on the considered flow geometry. Present physical problem gives the highly complicated nonlinear coupled partial differential equations (PDE's) which are not amenable to any of the known techniques. Thus, unconditionally stable, most accurate and speed converging with flexible finite difference implicit technique is utilized to simplify the dimensionless flow field equations. It is apparent from the current results that; the velocity profiles are diminished with enhancing values of magnetic field. Temperature profile increases with enhancing values of thermal radiation parameter. Velocity contours deviates away from the wall with enhancing magnetic parameter. Also, the effects of magnetic field, porous medium, thermal radiation, chemical reaction, buoyancy ratio parameter and Eckert number on couple stress flow velocity, temperature, and concentration profiles are studied. However, the present study has good number of applications in the various fields of engineering such as; polymer processing, solidification of liquid crystals, colloidal solutions, synovial joints, geophysics, chemical engineering, astrophysics and nuclear reactors etc. Finally, the current solutions are validated with the available results in the literature review and found to be in good agreement.

scholarly journals Peristaltic Blood Flow of Couple Stress Fluid Suspended with Nanoparticles under the Influence of Chemical Reaction and Activation Energy

Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 276 ◽  
Author(s):  
Rahmat Ellahi ◽  
Ahmed Zeeshan ◽  
Farooq Hussain ◽  
A. Asadollahi
Keyword(s):  
Activation Energy ◽  
Chemical Reaction ◽  
Couple Stress ◽  
The Body ◽  
Couple Stress Fluid ◽  
Large Molecules ◽  
Arrhenius Function ◽  
Flexible Walls ◽  
Speed Up ◽  
Buongiorno Model

The present study gives a remedy for the malign tissues, cells, or clogged arteries of the heart by means of permeating a slim tube (i.e., catheter) in the body. The tiny size gold particles drift in free space of catheters having flexible walls with couple stress fluid. To improve the efficiency of curing and speed up the process, activation energy has been added to the process. The modified Arrhenius function and Buongiorno model, respectively, moderate the inclusion of activation energy and nanoparticles of gold. The effects of chemical reaction and activation energy on peristaltic transport of nanofluids are also taken into account. It is found that the golden particles encapsulate large molecules to transport essential drugs efficiently to the effected part of the organ.

Non-isothermal analysis of calendering using couple stress fluid

2017 ◽  
Vol 34 (4) ◽  
pp. 358-381 ◽  
Author(s):  
Nasir Ali ◽  
Muhammad Asif Javed ◽  
Hafiz Muhammad Atif
Keyword(s):  
Pressure Gradient ◽  
Couple Stress ◽  
Sheet Thickness ◽  
Power Input ◽  
Momentum Equation ◽  
Exact Expression ◽  
Couple Stress Fluid ◽  
Flow Equations ◽  
Stress Effects ◽  
Order Of Magnitude

The non-isothermal flow inside a calender is modeled and analyzed for a couple stress fluid. The governing flow equations are developed using conservation laws of mass, momentum and energy. An order of magnitude analysis is performed and leading terms in momentum and energy equations are retained. The reduced momentum equation is solved to obtain the exact expression for velocity and pressure gradient. The reduced energy equation is solved numerically using a hybrid numerical method. The significant effects of the involved parameters on the pressure, pressure gradient velocity profile, roll-separating force, power input, exiting sheet thickness and temperature are examined through various plots. The pressure inside the calender significantly increases with increased couple stress effects. For larger couple stress parameters, the power function and roll-separating function show steady state behavior. The two maxima are distinctly observed in temperature distribution near the roll surfaces for small couple stress effects [Formula: see text]. In contrast, the temperature achieves maximum at center for strong couple stress effects [Formula: see text]

Sign in / Sign up

Export Citation Format

Share Document