The Experts below are selected from a list of 360 Experts worldwide ranked by ideXlab platform
Corina Fetecau - One of the best experts on this subject based on the ideXlab platform.
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new exact solutions corresponding to the second problem of stokes for second grade fluids
Nonlinear Analysis-real World Applications, 2010Co-Authors: Mudassar Nazar, Corina Fetecau, Dumitru VieruAbstract:New exact solutions for the velocity field corresponding to the second problem of Stokes, for second grade fluids, have been established by the Laplace Transform Method. These solutions, presented as a sum of the steady-state and transient solutions, are in accordance with the previous solutions obtained by a different technique. The required time to reach the steady state is determined by graphical illustrations. This time decreases if the frequency of the velocity increases. The effects of the material parameters on the decay of the transients are also investigated by graphs.
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a note on the second problem of stokes for newtonian fluids
International Journal of Non-linear Mechanics, 2008Co-Authors: Dumitru Vieru, Corina FetecauAbstract:Abstract New and simpler exact solutions corresponding to the second problem of Stokes for Newtonian fluids are established by the Laplace Transform Method. These solutions, presented as a sum of the steady-state and transient solutions are in accordance with the previous results (see Figs. 1–4). The amplitudes of the wall shear stresses corresponding to the cosine and sine oscillations are almost identical, except for a small initial time interval. The time required to attain the steady-state for the cosine oscillations of the boundary is smaller than that for the sine oscillations of the boundary. This time decreases if the frequency of the velocity of the boundary increases.
Ilyas Khan - One of the best experts on this subject based on the ideXlab platform.
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thermal analysis in stokes second problem of nanofluid applications in thermal engineering
Case Studies in Thermal Engineering, 2018Co-Authors: Ilyas Khan, Kashif Ali Abro, M N Mirbhar, Iskander TliliAbstract:Abstract Present study is prepared to analyze the heat transfer for the Stokes’ second problem of nanofluid. Water is taken as base fluid and two types of nanoparticles namely copper ( C u ) and silver ( A g ) are suspended in it. Exact solutions for velocity field and temperature distribution have been investigated by utilizing the Laplace Transform Method and presented in the form simple elementary functions. The results lead to the few facts regarding the effects of rheological and pertinent parameters on the graphical illustrations. Heat transfer is decreased with increasing nanoparticles volume fraction. Hartman number and porosity have opposite effects on fluid motion. This study has several applications in thermal engineering.
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unsteady flow of generalized casson fluid with fractional derivative due to an infinite plate
European Physical Journal Plus, 2016Co-Authors: Ilyas Khan, Nehad Ali Shah, Dumitru VieruAbstract:The Caputo time-fractional derivative is introduced in the constitutive model of a generalized Casson fluid which is moving over an infinite, oscillating flat plate. Exact solutions for the fluid velocity and shear stress are obtained using the Laplace Transform Method. Closed forms of solutions are written in terms of Wright functions. The obtained solutions can be easily particularized for ordinary Casson fluid, viscous fluid with fractional derivative and ordinary viscous fluid. Numerical simulations are carried out for fractional parameter and Casson fluid parameter and results are shown in graphical illustrations.
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unsteady boundary layer flow and heat transfer of a casson fluid past an oscillating vertical plate with newtonian heating
PLOS ONE, 2014Co-Authors: Abid Hussanan, Mohd Zuki Salleh, Razman Mat Tahar, Ilyas KhanAbstract:In this paper, the heat transfer effect on the unsteady boundary layer flow of a Casson fluid past an infinite oscillating vertical plate with Newtonian heating is investigated. The governing equations are Transformed to a systems of linear partial differential equations using appropriate non-dimensional variables. The resulting equations are solved analytically by using the Laplace Transform Method and the expressions for velocity and temperature are obtained. They satisfy all imposed initial and boundary conditions and reduce to some well-known solutions for Newtonian fluids. Numerical results for velocity, temperature, skin friction and Nusselt number are shown in various graphs and discussed for embedded flow parameters. It is found that velocity decreases as Casson parameters increases and thermal boundary layer thickness increases with increasing Newtonian heating parameter.
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new exact solutions of stokes second problem for an mhd second grade fluid in a porous space
International Journal of Non-linear Mechanics, 2012Co-Authors: Farhad Ali, M Norzieha, S Sharidan, Ilyas Khan, Tasawar HayatAbstract:We investigate a problem describing the oscillating flow of an incompressible magnetohydrodynamic (MHD) second grade fluid in a porous half space. Exact solutions for sine and cosine oscillations are developed by applying the Laplace Transform Method. The total obtained solution is a sum of steady and transient solutions. Particular attention is given to the effects of magnetic and porous medium parameters on the velocity. It is shown that previous results for a non-porous medium and hydrodynamic fluid are the limiting cases of the present problem. The results for velocity are plotted and discussed carefully.
Sunil Kumar - One of the best experts on this subject based on the ideXlab platform.
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a fractional model of navier stokes equation arising in unsteady flow of a viscous fluid
Journal of the Association of Arab Universities for Basic and Applied Sciences, 2015Co-Authors: Devendra Kumar, Jagdev Singh, Sunil KumarAbstract:Abstract In this paper, we present a reliable algorithm based on the new homotopy perturbation Transform Method (HPTM) to solve a time-fractional Navier–Stokes equation in a tube. The fractional derivative is considered in the Caputo sense. By using an initial value, the explicit solution of the equation has been presented in a closed form and then its numerical solution has been represented graphically. The new homotopy perturbation Transform Method is a combined form of the Laplace Transform Method and the homotopy perturbation Method. The results obtained by the proposed technique indicate that the approach is easy to implement and computationally very attractive.
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analytical solution of fractional navier stokes equation by using modified Laplace decomposition Method
Ain Shams Engineering Journal, 2014Co-Authors: Sunil Kumar, Deepak Kumar, S Abbasbandy, M M RashidiAbstract:Abstract The aim of this article is to introduce a new analytical and approximate technique to obtain the solution of time-fractional Navier–Stokes equation in a tube. This proposed technique is the coupling of Adomian decomposition Method (ADM) and Laplace Transform Method (LTM). We have consider the unsteady flow of a viscous fluid in a tube in which, besides time as one of the dependent variable, the velocity field is a function of only one space coordinate. A good agreement between the obtained solutions and some well-known results has been demonstrated. It is shown that the proposed Method robust, efficient, and easy to implement for linear and nonlinear problems arising in science and engineering.
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a new fractional modeling arising in engineering sciences and its analytical approximate solution
alexandria engineering journal, 2013Co-Authors: Sunil KumarAbstract:Abstract The aim of this article is to introduce a new approximate Method, namely homotopy perturbation Transform Method (HPTM) which is a combination of homotopy perturbation Method (HPM) and Laplace Transform Method (LTM) to provide an analytical approximate solution to time-fractional Cauchy-reaction diffusion equation. Reaction diffusion equation is widely used as models for spatial effects in ecology, biology and engineering sciences. A good agreement between the obtained solution and some well-known results has been demonstrated. The numerical solutions obtained by proposed Method indicate that the approach is easy to implement and accurate. Some numerical illustrations are given. These results reveal that the proposed Method is very effective and simple to perform for engineering sciences problems.
M M Rashidi - One of the best experts on this subject based on the ideXlab platform.
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analytical solution of fractional navier stokes equation by using modified Laplace decomposition Method
Ain Shams Engineering Journal, 2014Co-Authors: Sunil Kumar, Deepak Kumar, S Abbasbandy, M M RashidiAbstract:Abstract The aim of this article is to introduce a new analytical and approximate technique to obtain the solution of time-fractional Navier–Stokes equation in a tube. This proposed technique is the coupling of Adomian decomposition Method (ADM) and Laplace Transform Method (LTM). We have consider the unsteady flow of a viscous fluid in a tube in which, besides time as one of the dependent variable, the velocity field is a function of only one space coordinate. A good agreement between the obtained solutions and some well-known results has been demonstrated. It is shown that the proposed Method robust, efficient, and easy to implement for linear and nonlinear problems arising in science and engineering.
Tasawar Hayat - One of the best experts on this subject based on the ideXlab platform.
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new exact solutions of stokes second problem for an mhd second grade fluid in a porous space
International Journal of Non-linear Mechanics, 2012Co-Authors: Farhad Ali, M Norzieha, S Sharidan, Ilyas Khan, Tasawar HayatAbstract:We investigate a problem describing the oscillating flow of an incompressible magnetohydrodynamic (MHD) second grade fluid in a porous half space. Exact solutions for sine and cosine oscillations are developed by applying the Laplace Transform Method. The total obtained solution is a sum of steady and transient solutions. Particular attention is given to the effects of magnetic and porous medium parameters on the velocity. It is shown that previous results for a non-porous medium and hydrodynamic fluid are the limiting cases of the present problem. The results for velocity are plotted and discussed carefully.
