ANALYSIS OF HEAT AND MASS TRANSFER ON THE PERISTALTIC MOVEMENT OF CARREAU NANOFLUIDS

2021 ◽  
Author(s):  
A. MAGESH ◽  
M. KOTHANDAPANI
Keyword(s):  
Nonlinear Differential Equations ◽  
Concentration Function ◽  
Governing Equations ◽  
Curved Channel ◽  
Regular Perturbation ◽  
Radial Magnetic Field ◽  
Absolute Value ◽  
Peristaltic Movement ◽  
Curvature Parameter ◽  
Fluid Parameters

In this investigation, we have analyzed the peristaltic movement of MHD Carreau nanofluids in a curved channel by taking the thermophoresis and Brownian motion effects into account. The governing equations of the fluid flow like the equations of continuity, momentum, temperature and concentration are modulated and abridged by using the theory of lubrication approximations. A regular perturbation is used to solve the simplified coupled nonlinear differential equations. The changes of various fluid parameters on axial velocity, temperature and concentrations are carefully calculated, and the graphical results are analyzed. According to the result of this study, it is determined that the resulting velocity of nanofluid decreases significantly when the applied radial magnetic field is strengthened. In addition, the curvature parameter has a significant impact on the concentration function, and when the curvature of the channel is increased, the absolute value of the nanoparticle concentration distribution diminishes.

scholarly journals Convective Heat/Mass Transfer Analysis on Johnson-Segalman Fluid in a Symmetric Curved Channel with Peristalsis: Engineering Applications

Symmetry ◽  
2020 ◽  
Vol 12 (9) ◽  
pp. 1475
Author(s):  
Humaira Yasmin ◽  
Naveed Iqbal ◽  
Aiesha Hussain
Keyword(s):  
Newtonian Fluid ◽  
Peristaltic Flow ◽  
Weissenberg Number ◽  
Concentration Profiles ◽  
Convective Conditions ◽  
Curved Channel ◽  
Regular Perturbation ◽  
Flexible Walls ◽  
Physical Level ◽  
Parameter Values

The peristaltic flow of Johnson–Segalman fluid in a symmetric curved channel with convective conditions and flexible walls is addressed in this article. The channel walls are considered to be compliant. The main objective of this article is to discuss the effects of curvilinear of the channel and heat/mass convection through boundary conditions. The constitutive equations for Johnson–Segalman fluid are modeled and analyzed under lubrication approach. The stream function, temperature, and concentration profiles are derived. The analytical solutions are obtained by using regular perturbation method for significant number, named as Weissenberg number. The influence of the parameter values on the physical level of interest is outlined and discussed. Comparison is made between Jhonson-Segalman and Newtonian fluid. It is concluded that the axial velocity of Jhonson-Segalman fluid is substantially higher than that of Newtonian fluid.

scholarly journals Homotopy Analysis of Carreau Fluid Flow Over a Stretching Cylinder

2021 ◽  
Vol 88 (2) ◽  
pp. 80-92
Author(s):  
Lim Yeou Jiann ◽  
Sharidan Shafie ◽  
Ahmad Qushairi Mohamad ◽  
Noraihan Afiqah Rawi
Keyword(s):  
Nonlinear Differential Equations ◽  
Velocity Profiles ◽  
Weissenberg Number ◽  
Stretching Cylinder ◽  
Series Solutions ◽  
Carreau Fluid ◽  
Keller Box Method ◽  
Highly Nonlinear ◽  
Homotopy Analysis ◽  
Curvature Parameter

Carreau fluid flows past a stretching cylinder is elucidated in the present study. The transformed self-similarity and dimensionless boundary layer equations are solved by using the Homotopy analysis method. A convergence study of the method is illustrated explicitly. Series solutions of the highly nonlinear differential equations are computed and it is very efficient in demonstrating the characteristic of the Carreau fluid. Validation of the series solutions is achieved via comparing with earlier published results. Those results are obtained by using the Keller-Box method. The effects of the Weissenberg number and curvature parameter on the velocity profiles are discussed by graphs and tabular. The velocity curves have shown different behavior in and for an increase of the Weissenberg number. Further, the curvature parameter K does increase the velocity profiles.

Fluid flow analysis of cilia beating in a curved channel in the presence of magnetic field and heat transfer

2020 ◽  
Vol 98 (2) ◽  
pp. 191-197 ◽  
Author(s):  
Hina Sadaf ◽  
S. Nadeem
Keyword(s):  
Magnetic Field ◽  
Heat Transfer ◽  
Velocity Profile ◽  
Flow Analysis ◽  
Fluid Motion ◽  
Flow Characteristics ◽  
Physical Parameters ◽  
Curved Channel ◽  
Radial Magnetic Field ◽  
Fluid Flow Analysis

This paper investigates fluid motion generated by cilia and a pressure gradient in a curved channel. The flow analysis is carried out in the presence of heat transfer and radial magnetic field. The leading equations are simplified under the familiar suppositions of large wavelength and small Reynolds number approximations. An exact solution has been developed for the velocity profile. The flow characteristics of the viscous fluid are computed in the presence of cilia and metachronal wave velocity. The effects of several stimulating parameters on the flow and heat transfer are studied in detail through graphs. It is found that symmetry of the velocity profile is broken owing to bending of the channel. The radially varying magnetic field decreases the velocity field, but near the left ciliated wall it induces the opposite behavior. It is also found that velocity profile increases due to increase in buoyancy forces throughout the domain. Numerical consequences for velocity profile are also accessible in the table for diverse values of the physical parameters.

On vortex air motions above an axisymmetric source of mass, momentum and heat

1995 ◽  
Vol 290 ◽  
pp. 299-317
Author(s):  
Y. A. Berezin ◽  
K. Hutter
Keyword(s):  
Large Scale ◽  
Nonlinear Differential Equations ◽  
Azimuthal Velocity ◽  
Small Scale ◽  
Ambient Atmosphere ◽  
Plume Dispersion ◽  
Governing Equations ◽  
Balance Equations ◽  
Velocity Pressure ◽  
Polytropic Atmosphere

We study axisymmetric plume dispersion from a steady source of mass, momentum and/or heat that is subjected to either a time-dependent large-scale external vortex or small-scale turbulent axisymmetric helicity. On the basis of the turbulent boundary layer and Boussinesq assumptions and by assuming similarity profiles with Gaussian distribution in the radial direction the balance equations of mass, momentum, and energy reduce to a system of nonlinear differential equations for amplitude functions of axial velocity, pressure and density differences as well as azimuthal velocity. The system of equations is closed with Taylor's entrainment assumption.The plume radius and the typical radius of the large-scale external vortex are also determined. For a simple density structure of the ambient atmosphere (i.e. adiabatic conditions) analytical results can be obtained, but for more complicated cases, i.e. a layered polytropic atmosphere, the governing equations are examined numerically; computations are reasonably simple and efficient.

A STUDY OF MICROPOLAR FLUID IN AN ANNULAR TUBE WITH APPLICATION TO BLOOD FLOW

2008 ◽  
Vol 08 (04) ◽  
pp. 561-576 ◽  
Author(s):  
P. MUTHU ◽  
B. V. RATHISH KUMAR ◽  
PEEYUSH CHANDRA
Keyword(s):  
Cross Section ◽  
Micropolar Fluid ◽  
Oscillatory Flow ◽  
Flow Characteristics ◽  
Annular Region ◽  
Mean Flow ◽  
Governing Equations ◽  
Tube Radius ◽  
Annular Tube ◽  
Fluid Parameters

The oscillatory flow of micropolar fluid in an annular region with constriction, provided by variation of the outer tube radius, is investigated. It is assumed that the local constriction varies slowly over the cross-section of the annular region. The nonlinear governing equations of the flow are solved using a perturbation method to determine the flow characteristics. The effect of micropolar fluid parameters on mean flow and pressure variables is presented.

scholarly journals Viscous Dissipation and Dufour Effects on MHD Free Convection Flow Through an Oscillatory Inclined Porous Plate with Hall and Ion-Slip Current

2018 ◽  
Vol 7 (4.5) ◽  
pp. 410 ◽  
Author(s):  
K. V. B. Raja kumar ◽  
K. S. Balamurugan ◽  
Ch. V. Ramana Murthy ◽  
N. Ranganath
Keyword(s):  
Viscous Dissipation ◽  
Porous Plate ◽  
Convection Flow ◽  
Governing Equations ◽  
Inclined Plate ◽  
Regular Perturbation ◽  
Rotating System ◽  
Free Convection Flow ◽  
Ion Slip ◽  
Flow Through

In this paper the viscous dissipation and Dufour effects on Unsteady MHD free convective flow through a semi-infinite Oscillatory porous inclined plate of time dependent permeability with Chemical reaction and Hall and Ion-Slip Current in a Rotating System was investigated. The dimensionless governing equations for this investigation are solved analytically by using multiple regular perturbation law. The effects of different parameters on velocity, temperature and concentration fields are shown graphically.  

Analytic Study of Discreteness Effects in a String Resting on a Periodic Array of Vibro-Impact Supports

1997 ◽  
Author(s):  
Gary D. Salenger ◽  
Alexander F. Vakakis
Keyword(s):  
Nonlinear Boundary ◽  
Equations Of Motion ◽  
Forced Oscillations ◽  
System Of Equations ◽  
Solitary Wave Solutions ◽  
Governing Equations ◽  
Nonlinear Boundary Value Problems ◽  
Regular Perturbation ◽  
Discrete Nature ◽  
Infinite String

Abstract We analyze the forced oscillations of an infinite string supported by an array of vibro-impact supports. The envelope of the excitation possesses ‘slow’ and ‘fast’ scales and is periodic with respect to the ‘fast’ scale. The ‘fast’ spatial scale is defined by the distance between adjacent nonlinear supports. To eliminate the singularities from the governing equations of motion that arise due to the discrete nature of the supports, we employ the nonsmooth transformations of the spatial variable first introduced in (Pilipchuk, 1985) and (Pilipchuk, 1988). Thus, we convert the problem to a set of two nonhomogeneous nonlinear boundary value problems which we solve by means of perturbation theory. The boundary conditions of these problems arise from ‘smoothness conditions’ that are imposed to guarantee sufficient differentiability of the results. The transformed system of equations is simplified using regular perturbation and harmonic balancing. Standing solitary wave solutions reflecting the discreteness effects inherent in the discrete foundation are calculated numerically for the unforced system.

On the Numerical Solutions of Nonlinear Machine-Tool Chatter With Multiple Delays

2000 ◽  
Author(s):  
M. S. Fofana ◽  
Pamela B. Ryba
Keyword(s):  
Phase Plane ◽  
Numerical Solutions ◽  
Nonlinear Differential Equations ◽  
Multiple Delays ◽  
Multiple Time ◽  
Nonlinear Phenomenon ◽  
Governing Equations ◽  
Multiple Time Delays ◽  
Linearized Stability ◽  
Machine Tool Chatter

Abstract Stable and unstable machining during chatter and the occurring nonlinear phenomenon have been identified numerically. The corresponding governing equations for the machining model are nonlinear differential equations with multiple time delays. A characteristic equation for the linearized stability about equilibrium machining is analyzed. From this it is readily seen that stable machining increases as the feed rate factor increases. The change in character of nonlinear chatter is viewed as a phase portrait trajectory in a phase plane.

Peristaltic Transport of a Hyperbolic Tangent Fluid Model in an Asymmetric Channel

2009 ◽  
Vol 64 (9-10) ◽  
pp. 559-567 ◽  
Author(s):  
Sohail Nadeem ◽  
Safia Akram
Keyword(s):  
Pressure Gradient ◽  
Fluid Model ◽  
Pressure Rise ◽  
Weissenberg Number ◽  
Physical Parameters ◽  
Asymmetric Channel ◽  
Governing Equations ◽  
Hyperbolic Tangent ◽  
Regular Perturbation ◽  
Narrow Part

In the present analysis, we have modeled the governing equations of a two dimensional hyperbolic tangent fluid model. Using the assumption of long wavelength and low Reynolds number, the governing equations of hyperbolic tangent fluid for an asymmetric channel have been solved using the regular perturbation method. The expression for pressure rise has been calculated using numerical integrations. At the end, various physical parameters have been shown pictorially. It is found that the narrow part of the channel requires a large pressure gradient, also in the narrow part the pressure gradient decreases with the increase in Weissenberg number We and channel width d.

Stochastic Nonlinear Vibration of Fluid-Loaded Double-Walled Carbon Nanotubes

2013 ◽  
Vol 284-287 ◽  
pp. 362-366
Author(s):  
Tai Ping Chang
Keyword(s):  
Carbon Nanotubes ◽  
Differential Equations ◽  
Nonlinear Vibration ◽  
Nonlinear Differential Equations ◽  
Mean Value ◽  
Stochastic Dynamic ◽  
Governing Equations ◽  
The Mean ◽  
Double Walled Carbon Nanotubes ◽  
Walled Carbon Nanotubes

This paper investigates the stochastic dynamic behaviors of nonlinear vibration of the fluid-loaded double-walled carbon nanotubes (DWCNTs) by considering the effects of the geometric nonlinearity and the nonlinearity of van der Waals (vdW) force. The nonlinear governing equations of the fluid-conveying DWCNTs are formulated based on the Hamilton’s principle. The Young’s modulus of elasticity of the DWCNTs is assumed as stochastic with respect to the position to actually describe the random material properties of the DWCNTs. By utilizing the perturbation technique, the nonlinear governing equations of the fluid-conveying can be decomposed into two sets of nonlinear differential equations involving the mean value of the displacement and the first variation of the displacement separately. Then we adopt the harmonic balance method in conjunction with Galerkin’s method to solve the nonlinear differential equations successively. Some statistical dynamic response of the DWCNTs such as the mean values and standard deviations of the amplitude of the displacement are computed. It is concluded that the mean value and standard deviation of the amplitude of the displacement increase nonlinearly with the increase of the frequencies.

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