Thermal Diffusion and Diffusion Thermo Effects on Peristaltic Flow of Sisko Fluid in Nonuniform Channel With Dissipative Heating

2013 ◽  
Vol 135 (12) ◽  
Author(s):  
Sharidan Shafie ◽  
Obaid Ullah Mehmood ◽  
Norzieha Mustapha
Keyword(s):  
Thermal Diffusion ◽  
Perturbation Technique ◽  
Shear Thickening ◽  
Dissipative Heating ◽  
Peristaltic Flow ◽  
Sisko Fluid ◽  
Dissipative Heat ◽  
Highly Nonlinear ◽  
Axial Pressure Gradient ◽  
And Diffusion

This investigation deals with thermal diffusion and diffusion thermo effects on the peristaltic flow of a Sisko fluid in an asymmetric channel. The mode of dissipative heat transfer is taken into account with nonuniform wall temperatures. Long wavelength approximation is utilized. Solutions for the highly nonlinear coupled governing equations involving power law index as an exponent are derived by employing the perturbation technique in a Sisko fluid parameter. Closed form solutions for the stream function, the axial pressure gradient, the skin friction, the temperature, the concentration, and the Nusselt number are presented. Effects of various interesting parameters are graphically interpreted. A comparative study between Newtonian, shear thinning, and shear thickening fluids is also presented. Comparison with published results for the case of viscous fluid is observed in good agreement.

scholarly journals A Note on Radiative Heat Transfer to Peristaltic Flow of Sisko Fluid

2015 ◽  
Vol 2015 ◽  
pp. 1-9 ◽  
Author(s):  
Obaid Ullah Mehmood ◽  
Constantin Fetecau
Keyword(s):  
Heat Transfer ◽  
Nusselt Number ◽  
Viscous Fluid ◽  
Skin Friction ◽  
Radiative Heat Transfer ◽  
Radiative Heat ◽  
Shear Thickening ◽  
Sisko Fluid ◽  
Highly Nonlinear ◽  
Axial Pressure Gradient

This paper looks at the effects of radiative heat transfer on the peristaltic transport of a Sisko fluid in an asymmetric channel with nonuniform wall temperatures. Adopting the lubrication theory, highly nonlinear coupled governing equations involving power law index as an exponent have been linearized and perturbation solutions are obtained about the Sisko fluid parameter. Analytical solutions for the stream function, axial pressure gradient, axial velocity, skin friction, and Nusselt number are derived for three different cases (i.e., shear thinning fluid, viscous fluid, and shear thickening fluid). The effects of Grashof number, radiation parameter, and other configuration parameters on pumping, trapping, temperature, Nusselt number, and skin friction have been examined in detail. A good agreement has been found for the case of viscous fluid with existing results.

DISSIPATIVE HEAT TRANSFER IN SISKO FLUID PERISTALTIC FLOW THROUGH A CYLINDRICAL TUBE WITH NONLINEAR SLIP

2015 ◽  
Vol 46 (7) ◽  
pp. 643-656 ◽  
Author(s):  
Obaid Ullah Mehmood ◽  
Norzieha Mustapha ◽  
Sharidan Shafie ◽  
Muhammad Qasim
Keyword(s):  
Heat Transfer ◽  
Cylindrical Tube ◽  
Peristaltic Flow ◽  
Sisko Fluid ◽  
Dissipative Heat ◽  
Flow Through

EFFECTS OF DISSIPATIVE HEATING AND THERMAL DIFFUSION ON THE PERISTALTIC FLOW OF A POWER-LAW FLUID IN A NONUNIFORM INCLINED TUBE

2012 ◽  
Vol 43 (8) ◽  
pp. 733-748 ◽  
Author(s):  
Obaid Ullah Mehmood ◽  
Norzieha Mustapha ◽  
Sharidan Shafie ◽  
Constantin Fetecau
Keyword(s):  
Thermal Diffusion ◽  
Power Law ◽  
Dissipative Heating ◽  
Peristaltic Flow ◽  
Power Law Fluid ◽  
Inclined Tube

scholarly journals Three-Dimensional Radiative Bioconvective Flow of a Sisko Nanofluid with Motile Microorganisms

Coatings ◽  
2021 ◽  
Vol 11 (3) ◽  
pp. 335
Author(s):  
Hu Ge-JiLe ◽  
Hassan Waqas ◽  
Sami Ullah Khan ◽  
Muhammad Ijaz Khan ◽  
Shahid Farooq ◽  
...  
Keyword(s):  
Three Dimensional ◽  
Shear Thickening ◽  
Lewis Number ◽  
Shear Thinning ◽  
Cancer Treatments ◽  
Sisko Fluid ◽  
Heating Source ◽  
Flow Parameters ◽  
Highly Nonlinear ◽  
Thermal Features

The progressive and enhanced thermal mechanisms of nanoparticles has motivated researchers to give attention to this topic in recent years. The synthesizing and versatile applications of such materials include cooling and heating controlling processes, solar systems, energy production, nanoelectronics, hybrid-powered motors, cancer treatments, and renewable energy systems. Moreover, the bioconvection of nanofluids allows for some motivating applications in this era of bioengineering and biotechnology, such as biofuels, biosensors, and enzymes. With these interesting motivations and applications, this study elucidated upon the three-dimensional bioconvection flow of a Sisko fluid (base fluid) in the presence of a nanofluid over a stretched surface. The additional thermal features of radiation were also incorporated to modify the analysis. The rheological features of shear thinning and shear thickening that are associated with the Sisko nanofluid were comprehensively studied. The problem was formulated using highly nonlinear and coupled differential equations, which were numerically simulated via a shooting scheme. The salient physical applications of flow parameters were graphically underlined in view of shear-thinning and shear-thickening scenarios. The results showed that a decrease in velocity in the presence of buoyancy ratio forces was more conducive to the shear-thinning phenomenon. The increase in temperature profile due the thermal Biot number and surface heating source parameter seemed to be more inflated in the shear-thinning scenario. A lower motile microorganism profile was noted for the bioconvection Lewis number.

SIMULTANEOUS EFFECTS OF DISSIPATIVE HEATING AND PARTIAL SLIP ON PERISTALTIC TRANSPORT OF SISKO FLUID IN ASYMMETRIC CHANNEL

2014 ◽  
Vol 06 (01) ◽  
pp. 1450008 ◽  
Author(s):  
OBAID ULLAH MEHMOOD ◽  
NORZIEHA MUSTAPHA ◽  
SHARIDAN SHAFIE ◽  
CONSTANTIN FETECAU
Keyword(s):  
Heat Transfer ◽  
Heat Transfer Coefficient ◽  
Transfer Coefficient ◽  
Velocity Slip ◽  
Dissipative Heating ◽  
Partial Slip ◽  
Asymmetric Channel ◽  
Sisko Fluid ◽  
Axial Pressure Gradient ◽  
Viscous Shear

This paper looks at the dissipative heat transfer on the peristaltic flow of a Sisko fluid in an asymmetric channel. Flow exhibits slip at the channel walls maintained at nonuniform temperatures. Long wavelength approximation is utilized and perturbation solutions are obtained about Sisko fluid parameter. Closed form solutions for the stream function, axial pressure gradient, axial velocity, temperature and the heat transfer coefficient are presented. Influences of various interesting parameters are presented in graphical and tabular forms. Pumping and trapping phenomena are discussed for increasing velocity slip parameter. A comparative study on temperature and heat transfer coefficient for viscous, shear thinning and shear thickening fluids has been presented. Comparisons for viscous fluid are found in good agreement.

scholarly journals Successive Linearization Analysis of the Effects of Partial Slip, Thermal Diffusion, and Diffusion-Thermo on Steady MHD Convective Flow due to a Rotating Disk

2012 ◽  
Vol 2012 ◽  
pp. 1-15 ◽  
Author(s):  
S. S. Motsa ◽  
S. Shateyi
Keyword(s):  
Thermal Diffusion ◽  
Nonlinear Boundary ◽  
Rotating Disk ◽  
Linearization Method ◽  
Partial Slip ◽  
Similarity Transformations ◽  
Highly Nonlinear ◽  
Successive Linearization Method ◽  
And Diffusion ◽  
The Magnetic Field

We proposed a general formulation of the successive linearization method for solving highly nonlinear boundary value problem arising in rotating disk flow. The problem was studied under the effects of partial slip, thermal diffusion, and diffusion-thermo. The governing fundamental conservation equations of mass, momentum, angular momentum, energy, and concentration are transformed into a system of ordinary differential equations by means of similarity transformations. A parametric study illustrating the influence of the magnetic field, slip factor, Eckert number, Dufour and Soret numbers was carried out.

Mathematical study for peristaltic flow of Williamson fluid in a curved channel

2015 ◽  
Vol 08 (01) ◽  
pp. 1550005 ◽  
Author(s):  
E. N. Maraj ◽  
Noreen Sher Akbar ◽  
S. Nadeem
Keyword(s):  
Fluid Model ◽  
Nonlinear Partial Differential Equations ◽  
Nonlinear Partial Differential Equation ◽  
Pressure Rise ◽  
Peristaltic Flow ◽  
Curved Channel ◽  
Partial Differential ◽  
Williamson Fluid ◽  
Highly Nonlinear ◽  
Frame Transformation

In this paper, we have investigated the peristaltic flow of Williamson fluid in a curved channel. The governing equations of Williamson fluid model for curved channel are derived including the effects of curvature. The highly nonlinear partial differential equations are simplified by using the wave frame transformation, long wavelength and low Reynolds number assumptions. The reduced nonlinear partial differential equation is solved analytically with the help of homotopy perturbation method. The physical features of pertinent parameters have been discussed by plotting the graphs of pressure rise, velocity profile and stream functions.

scholarly journals Soret effects due to natural convection between inclined plates with magnetic field

1970 ◽  
Vol 39 (2) ◽  
pp. 65-70 ◽  
Author(s):  
MC Raju ◽  
SVK Varma ◽  
PV Reddy ◽  
Sumon Saha
Keyword(s):  
Magnetic Field ◽  
Natural Convection ◽  
Binary Mixture ◽  
Thermal Diffusion ◽  
Buoyancy Force ◽  
Dimensionless Parameter ◽  
Perturbation Technique ◽  
Flow And Heat Transfer ◽  
Parameter Measuring ◽  
Inclined Plates

The effect of small uniform magnetic field on separation of a binary mixture for the case of a fully developed natural convection between two heated inclined plates has been investigated in this paper. Neglecting the induced electric field the equations governing the motion, temperature and concentration are solved by simple perturbation technique, in terms of dimensionless parameter measuring buoyancy force. The expressions for velocity, temperature and concentration are obtained. The effects of Hartmann number (M), thermal diffusion number (td), the buoyancy force parameter (N) and the inclination angle (ψ) of the plates with the horizontal are studied on the flow and heat transfer quantities. Keywords: Natural convection, thermal diffusion, magnetic field, incompressible fluid, binary mixture. doi:10.3329/jme.v39i2.1848 Journal of Mechanical Engineering, Vol. ME39, No. 2, Dec. 2008 65-70

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