Flow and heat transfer in a second grade fluid over a stretching sheet

Vajravelu, K.; Roper, Thomas D.

doi:10.1016/s0020-7462(98)00073-0

Cited by 154 publications

(87 citation statements)

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“…(3) is correct then they are wrong in paper [3] and if they are claiming Eq. (5) of [3] is correct then they are wrong in paper [2]. Both the papers [2,3] are written by the same authors and in their own papers there is a contradiction.…”

Section: Reply To Commentsmentioning

confidence: 97%

“…Van Gorder and K. Vajravelu [1], is again not similar to the Eq. (9) of Vajravelu and Roper [2] which in their paper [2] is quoted as…”

Section: Reply To Commentsmentioning

confidence: 99%

“…Both the papers [2,3] are written by the same authors and in their own papers there is a contradiction. At one place [3] they are reporting the same resluts like us and at the other place they are contradicting the same results in [1,2].…”

Section: Reply To Commentsmentioning

confidence: 99%

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Reply to the comments on: ”Series solution of hydromagnetic flow and heat transfer with Hall effect in a second grade fluid over a stretching sheet”

Zaman

Ayub

2010

Open Physics

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Section: Reply To Commentsmentioning

confidence: 97%

“…Van Gorder and K. Vajravelu [1], is again not similar to the Eq. (9) of Vajravelu and Roper [2] which in their paper [2] is quoted as…”

Section: Reply To Commentsmentioning

confidence: 99%

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Reply to the comments on: ”Series solution of hydromagnetic flow and heat transfer with Hall effect in a second grade fluid over a stretching sheet”

Zaman

Ayub

2010

Open Physics

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“…Crane [35] is the pioneering author who introduced the fluid flow by means of the stretching sheet. The work of Crane was expanded upon by many scholars, like Vajraelu and Roper [36] who investigated the stream of second-grade fluids and stretching sheets. Rosca and Pop [37] and Sajid et al [38] deliberated the vicious unsteady motion due to a shrinking/stretching curved medium.…”

Section: Introductionmentioning

confidence: 99%

The Rotating Flow of Magneto Hydrodynamic Carbon Nanotubes over a Stretching Sheet with the Impact of Non-Linear Thermal Radiation and Heat Generation/Absorption

et al. 2018

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Abstract:The aim of this research work is to investigate the innovative concept of magnetohydrodynamic (MHD) three-dimensional rotational flow of nanoparticles (single-walled carbon nanotubes and multi-walled carbon nanotubes). This flow occurs in the presence of non-linear thermal radiation along with heat generation or absorption based on the Casson fluid model over a stretching sheet. Three common types of liquids (water, engine oil, and kerosene oil) are proposed as a base liquid for these carbon nanotubes (CNTs). The formulation of the problem is based upon the basic equation of the Casson fluid model to describe the non-Newtonian behavior. By implementing the suitable non-dimensional conditions, the model system of equations is altered to provide an appropriate non-dimensional nature. The extremely productive Homotopy Asymptotic Method (HAM) is developed to solve the model equations for velocity and temperature distributions, and a graphical presentation is provided. The influences of conspicuous physical variables on the velocity and temperature distributions are described and discussed using graphs. Moreover, skin fraction coefficient and heat transfer rate (Nusselt number) are tabulated for several values of relevant variables. For ease of comprehension, physical representations of embedded parameters such as radiation parameter (Rd), magnetic parameter (M), rotation parameter (K), Prandtl number (Pr), Biot number (λ), and heat generation or absorption parameter (Q h ) are plotted and deliberated graphically.

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“…The closed form exponential solution for the flow by a linear stretching is examined by Crane. 3 Later on Vajravelu and Roper 4 analyzed the flow and heat transfer over a stretching sheet with prescribed surface temperature. Many researchers investigated the stretching sheet problems by considering different effects (some studies can be cited [5][6][7][8][9].…”

Section: Introductionmentioning

confidence: 99%

A note on convective heat transfer of an MHD Jeffrey fluid over a stretching sheet

et al. 2015

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This article focuses on the exact solution regarding convective heat transfer of a magnetohydrodynamic (MHD) Jeffrey fluid over a stretching sheet. The effects of joule and viscous dissipation, internal heat source/sink and thermal radiation on the heat transfer characteristics are taken in account in the presence of a transverse magnetic field for two types of boundary heating process namely prescribed power law surface temperature (PST) and prescribed heat flux (PHF). Similarity transformations are used to reduce the governing non-linear momentum and thermal boundary layer equations into a set of ordinary differential equations. The exact solutions of the reduced ordinary differential equations are developed in the form of confluent hypergeometric function. The influence of the pertinent parameters on the temperature profile is examined. In addition the results for the wall temperature gradient are also discussed in detail.

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Flow and heat transfer in a second grade fluid over a stretching sheet

Cited by 154 publications

References 0 publications

Reply to the comments on: ”Series solution of hydromagnetic flow and heat transfer with Hall effect in a second grade fluid over a stretching sheet”

Reply to the comments on: ”Series solution of hydromagnetic flow and heat transfer with Hall effect in a second grade fluid over a stretching sheet”

The Rotating Flow of Magneto Hydrodynamic Carbon Nanotubes over a Stretching Sheet with the Impact of Non-Linear Thermal Radiation and Heat Generation/Absorption

A note on convective heat transfer of an MHD Jeffrey fluid over a stretching sheet

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