Exact solutions for the flow of a generalized Oldroyd-B fluid induced by a constantly accelerating plate between two side walls perpendicular to the plate

Fetecău, Constantin; Kamran, Muhammad; Vieru, Dumitru

doi:10.1016/j.jnnfm.2008.06.005

Cited by 75 publications

(36 citation statements)

References 27 publications

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“…Our endeavor is to find the temperature distribution from Equation (6) and boundary conditions (7). For that we substitute Equation (8) into Equation (6) and then solve the resulting problem for to obtain The heat transfer at the two walls are …”

Section: Governing Problem and Solutionmentioning

confidence: 99%

“…Extensive literature is now available on the topic. Some interesting studies in this direction are made by Hayat and Hutter [2], Erdogan [3], Hayat et al [4][5][6], Fetecau et al [7,8], Vieru et al [9], Xu et al [10], Wang and Tan [11], Liao [12], Soh [13], Ravindran et al [14], Akgul and Pakdemirli [15], Mollica and Rajagopal [16], Rajagopal and…”

Section: Introductionmentioning

confidence: 99%

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Effect of heat transfer on a third grade fluid in a flat channel

Ellahi

Ariel

Hayat

et al. 2009

Numerical Methods in Fluids

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SUMMARYThe heat transfer analysis on the laminar flow of an incompressible third grade fluid through a porous flat channel is examined. The lower plate is assumed to be at a higher temperature than the upper plate. Analytical solution for temperature distribution is obtained for various values of the controlling parameters and discussed. The obtained analytical solution is also compared with the numerical solution. The comparison shows the fact that the accuracy is remarkable.

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Section: Governing Problem and Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Effect of heat transfer on a third grade fluid in a flat channel

Ellahi

Ariel

Hayat

et al. 2009

Numerical Methods in Fluids

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“…Oldroyd-B model is known as one of the subclass of rate type models which can predict the effects of relaxation and retardation times. Some of the recent studies relevant to Oldroyd-B model include the researches of (Fetecau et al 2010, Fetecau et al 2009, Haitao et al 2009a, Haitao et al 2009b, Fetecau et al 2011, Jamil et al 2011, Hayat et al 2012). …”

Section: Introductionmentioning

confidence: 99%

Mixed Convection Falkner-Skan Wedge Flow of an Oldroyd-B Fluid in Presence of Thermal Radiation

Ashraf¹,

Hayat²,

Alsulami³

2016

JAFM

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The present study deals with the Falkner-Skan flow of rate type non-Newtonian fluid. Expressions of an Oldroyd-B fluid in the presence of mixed convection and thermal radiation are used in the development of relevant equations. The resulting partial differential equations are reduced into the ordinary differential equations employing appropriate transformations. Expressions of flow and heat transfer are constructed. Convergence of derived nonsimilar series solutions is guaranteed. Impact of various parameters involved in the flow and heat transfer results is plotted and examined.

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“…Bandelli et al [1] discussed start-up flows of second grade fluids in domains with one finite dimension. Fetecau et al [2] investigated exact solutions for the flow of a generalized Oldroyd-B fluid induced by a constantly accelerating plate between two side walls perpendicular to the plate. Hayat et al [3] made homotopy analysis of MHD boundary layer flow of an upper-convected Maxwell fluid.…”

Section: Introductionmentioning

confidence: 99%