Stretching Sheet

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B. Nageswara Rao - One of the best experts on this subject based on the ideXlab platform.

B. S. Dandapat - One of the best experts on this subject based on the ideXlab platform.

  • UNSTEADY FLOW OF CASSON LIQUID FILM ON A Stretching Sheet WITH RADIATIVE HEAT TRANSFER
    Surface Review and Letters, 2020
    Co-Authors: R. Krishanan, S. Maity, B. S. Dandapat
    Abstract:

    Flow of thin uniform Casson liquid film on an unsteady porous Stretching Sheet is studied both analytically and numerically. Combined effects of porosity, transverse magnetic field, thermal radiati...

  • Liquid film flow due to an unsteady Stretching Sheet
    International Journal of Non-Linear Mechanics, 2008
    Co-Authors: B. S. Dandapat, S. Maity, A. Kitamura
    Abstract:

    Abstract We have studied two-dimensional flow of a thin liquid film over an impulsively Stretching Sheet under assumption of uniform initial film thickness. Using singular perturbation technique both momentum and film evolution equations are solved analytically for small Reynolds number and these solutions are verified numerically. Numerical computation for large Reynolds number shows an anomalous behaviour of film thinning rate in different time zone. These results are explained physically and the crucial role-played by viscosity in this case is highlighted. It is found that faster rate of thinning can be obtained if the Sheet is stretched impulsively with continuously increasing Stretching speed.

  • On the stability of MHD flow of a viscoelastic fluid past a Stretching Sheet
    Acta Mechanica, 1998
    Co-Authors: B. S. Dandapat, Lars Erik Holmedal, Helge I Andersson
    Abstract:

    The effects of a magnetic field on the stability characteristics of a viscoelastic fluid flow due to the Stretching Sheet are investigated. A three-dimensional linear stability analysis is performed by means of the Method of Weighted Residuals for disturbances of the Taylor-Gortler type. It is found that the magnetic field exerts a stabilizing influence on the flow.

  • magnetohydrodynamic flow of a power law fluid over a Stretching Sheet
    International Journal of Non-linear Mechanics, 1992
    Co-Authors: Helge I Andersson, Knut H Bech, B. S. Dandapat
    Abstract:

    Abstract Magnetohydrodynamic flow of an electrically conducting power-law fluid over a Stretching Sheet in the presence of a uniform transverse magnetic field is investigated by using an exact similarity transformation. The effect of magnetic field on the now characteristics is explored numerically, and it is concluded that the magnetic field tends to make the boundary layer thinner, thereby increasing the wall friction.

Roslinda Mohd Nazar - One of the best experts on this subject based on the ideXlab platform.

  • Triple Solutions of Carreau Thin Film Flow with Thermocapillarity and Injection on an Unsteady Stretching Sheet
    Energies, 2020
    Co-Authors: Kohilavani Naganthran, Ishak Hashim, Roslinda Mohd Nazar
    Abstract:

    Thin films and coatings which have a high demand in a variety of industries—such as manufacturing, optics, and photonics—need regular improvement to sustain industrial productivity. Thus, the present work examined the problem of the Carreau thin film flow and heat transfer with the influence of thermocapillarity over an unsteady Stretching Sheet, numerically. The Sheet is permeable, and there is an injection effect at the surface of the Stretching Sheet. The similarity transformation reduced the partial differential equations into a system of ordinary differential equations which is then solved numerically by the MATLAB boundary value problem solver bvp4c. The more substantial effect of injection was found to be the reduction of the film thickness at the free surface and development of a better rate of convective heat transfer. However, the increment in the thermocapillarity number thickens the film, reduces the drag force, and weakens the rate of heat transfer past the Stretching Sheet. The triple solutions are identified when the governing parameters vary, but two of the solutions gave negative film thickness. Detecting solutions with the most negative film thickness is essential because it implies the interruption in the laminar flow over the Stretching Sheet, which then affects the thin film growing process.

  • boundary layer flow and heat transfer over a Stretching Sheet with newtonian heating
    Journal of The Taiwan Institute of Chemical Engineers, 2010
    Co-Authors: Mohd Zuki Salleh, Roslinda Mohd Nazar
    Abstract:

    The steady boundary layer flow and heat transfer over a Stretching Sheet with Newtonian heating in which the heat transfer from the surface is proportional to the local surface temperature, is considered in this study. The transformed governing nonlinear boundary layer equations are solved numerically by a finite-difference method. Numerical solutions are obtained for the heat transfer from the Stretching Sheet and the wall temperature for a large range of values of the Prandtl number Pr. The Newtonian heating is controlled by a dimensionless conjugate parameter, which varies between zero (insulated wall) and infinity (wall temperature remains constant). The important findings in this study are the variation of the surface temperature and heat flux from the Stretching surface with the conjugate parameter and Prandtl number. It is found that these parameters have essential effects on the heat transfer characteristics.

  • Flow and heat transfer over an unsteady Stretching Sheet in a micropolar fluid
    Meccanica, 2010
    Co-Authors: Norfifah Bachok, Anuar Mohd Ishak, Roslinda Mohd Nazar
    Abstract:

    The unsteady laminar flow of an incompressible micropolar fluid over a Stretching Sheet is investigated. The unsteadiness in the flow and temperature fields is caused by the time-dependence of the Stretching velocity and the surface temperature. Effects of the unsteadiness parameter, material parameter and Prandtl number on the flow and heat transfer characteristics are thoroughly examined.

  • mhd stagnation point flow towards a Stretching Sheet
    Physica A-statistical Mechanics and Its Applications, 2009
    Co-Authors: Anuar Mohd Ishak, Roslinda Mohd Nazar, Khamisah Jafar, Ioan Pop
    Abstract:

    The steady two-dimensional MHD stagnation point flow towards a Stretching Sheet with variable surface temperature is investigated. The governing system of partial differential equations are transformed into ordinary differential equations, which are then solved numerically using a finite-difference scheme known as the Keller-box method. The effects of the governing parameters on the flow field and heat transfer characteristics are obtained and discussed. It is found that the heat transfer rate at the surface increases with the magnetic parameter when the free stream velocity exceeds the Stretching velocity, i.e. e>1, and the opposite is observed when e<1.

P. Sam Lawrence - One of the best experts on this subject based on the ideXlab platform.

Azeem Shahzad - One of the best experts on this subject based on the ideXlab platform.

  • On boundary layer flow of a Sisko fluid over a Stretching Sheet
    Quaestiones Mathematicae, 2013
    Co-Authors: Masood Khan, Azeem Shahzad
    Abstract:

    In this paper, the steady boundary layer flow of a non-Newtonian fluid over a nonlinear Stretching Sheet is investigated. The Sisko fluid model, which is combination of power-law and Newtonian fluids in which the fluid may exhibit shear thinning/thickening behaviors, is considered. The boundary layer equations are derived for the two-dimensional flow of an incompressible Sisko fluid. Similarity transformations are used to reduce the governing nonlinear equations and then solved analytically using the homotopy analysis method. In addition, closed form exact analytical solutions are provided for n = 0 and n = 1. Effects of the pertinent parameters on the boundary layer flow are shown and solutions are contrasted with the power-law fluid solutions. Keywords: Sisko fluid, boundary layer flow, non-linear Stretching Sheet, analytical solution Quaestiones Mathematicae 36(2013), 137–151

  • On the Exact Solution for Axisymmetric Flow and Heat Transfer over a Nonlinear Radially Stretching Sheet
    Chinese Physics Letters, 2012
    Co-Authors: Azeem Shahzad, Ramzan Ali, Masood Khan
    Abstract:

    We investigate the boundary-layer flow and heat transfer of a magnetohydrodynamic viscous fluid over a nonlinear radially porous Stretching Sheet within a porous medium. The flow is generated due to a nonlinear Stretching Sheet and influenced by a continuous suction/blowing of the fluid through the porous Sheet. The governing momentum and thermal boundary layer equations are converted into ordinary differential equations by appropriate similarity transformations. The exact solution for the velocity and the temperature fields are derived in the form of an incomplete Gamma function. Also analytic solutions are found by the homotopy analysis method. The graphical results for velocity and temperature fields are presented and discussed. Further, the numerical values of the skin friction coefficient and the Nusselt number are calculated and discussed.

  • On axisymmetric flow of Sisko fluid over a radially Stretching Sheet
    International Journal of Non-Linear Mechanics, 2012
    Co-Authors: Masood Khan, Azeem Shahzad
    Abstract:

    Abstract This study presents an analysis of the axisymmetric flow of a non-Newtonian fluid over a radially Stretching Sheet. The momentum equations for two-dimensional flow are first modeled for Sisko fluid constitutive model, which is a combination of power-law and Newtonian fluids. The general momentum equations are then simplified by invoking the boundary layer analysis. Then a non-linear ordinary differential equation governing the axisymmetric boundary layer flow of Sisko fluid over a radially Stretching Sheet is obtained by introducing new suitable similarity transformations. The resulting non-linear ordinary differential equation is solved analytically via the homotopy analysis method (HAM). Closed form exact solution is then also obtained for the cases n=0 and 1. Analytical results are presented for the velocity profiles for some values of governing parameters such as power-law index, material parameter and Stretching parameter. In addition, the local skin friction coefficient for several sets of the values of physical parameter is tabulated and analyzed. It is shown that the results presented in this study for the axisymmetric flow over a radially non-linear Stretching Sheet of Sisko fluid are quite general so that the corresponding results for the Newtonian fluid and the power-law fluid can be obtained as two limiting cases.