Approximate analytical solutions for the flow of a third-grade fluid in a pipe

Yürüsoy, Muhammet; Pakdemi̇rli̇, Mehmet

doi:10.1016/s0020-7462(00)00105-0

Cited by 86 publications

(42 citation statements)

References 7 publications

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“…For problems involving heat transfer for fluid of third grade, a complete thermodynamics analysis of the constitutive function has been performed by Fosdick and Rajagopal [4]. Similar studies with respect to nonNewtonian fluid are also reported in [10,14].…”

Section: Introductionmentioning

confidence: 95%

Hermite-Padé approximation approach to thermal criticality for a reactive third-grade liquid in a channel with isothermal walls

Makinde

2007

International Communications in Heat and Mass Transfer

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Section: Introductionmentioning

confidence: 95%

Hermite-Padé approximation approach to thermal criticality for a reactive third-grade liquid in a channel with isothermal walls

Makinde

2007

International Communications in Heat and Mass Transfer

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“…Makinde [12,13] investigated the thermal effects of reactive viscous flows through channels filled with porous media under isothermal wall conditions. As noted, several studies involving heat and mass transfer in Newtonian and non-Newtonian fluids [14][15][16] have been conducted but most lack a systematic and rational treatment of the thermodynamics of the problem with respect to the combined effects of porous walls, wall slip, unsteadiness, variable viscosity and asymmetric convective boundary conditions on the flow system.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Entropy Generation Rate in an Unsteady Porous Channel Flow with Navier Slip and Convective Cooling

Chinyoka

Makinde

2013

Entropy

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This study deals with the combined effects of Navier Slip, Convective cooling, variable viscosity, and suction/injection on the entropy generation rate in an unsteady flow of an incompressible viscous fluid flowing through a channel with permeable walls. The model equations for momentum and energy balance are solved numerically using semi-discretization finite difference techniques. Both the velocity and temperature profiles are obtained and utilized to compute the entropy generation number. The effects of key parameters on the fluid velocity, temperature, entropy generation rate and Bejan number are depicted graphically and analyzed in detail.

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“…(10), ε is variable thermal conductivity parameter. Despite the existence of several temperaturedependent relationships to define dynamic viscosity, such as Reynolds viscosity model [33] or Vogel's viscosity model [34], the following relationship, which is more suitable for a wide range of temperature, is used [2]:…”

Section: T T T T T T T T T T Tmentioning

confidence: 99%

The effect of temperature-dependent viscosity and thermal conductivity on micropolar fluid over a stretching sheet

Keimanesh

Aghanajafi

2017

Teh. vjesn.

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Original scientific paper In this paper, the flow and heat transfer characteristics of a micropolar fluid flow over a stretching sheet are studied. The effects of magnetic field, radiation heat flux and porous sheet are investigated, and the viscosity and thermal conductivity are supposed temperature-dependent. The governing equations are formulated by boundary layer approximation and the theory of micropolar fluids. To solve the problem, the partial differential equations are transformed into the ordinary differential equations by using similarity solutions, and the achieved equations are solved by shooting method and fourthorder Runge-Kutta. The results show that the effects of magnetic field and porousness result in decrease of the velocity values in the boundary layers, but the presence of radiation heat flux results in the growth of the boundary layer thickness. Furthermore, the thickness of thermal boundary layer declines by increase of suction parameter and reduction of radiation and magnetic field effects.Keywords: magnetic field; micropolar fluid; porous sheet; radiation; stretching sheet; thermal conductivity; viscosity Djelovanje o temperaturi ovisnog viskoziteta i toplinske vodljivosti na mikropolarni fluid preko elastičnog limaIzvorni znanstveni članak U radu se istražuju karakteristike protoka i prijenosa topline mikropolarnog toka fluida preko elastičnog lima. Istražuju se utjecaji magnetskog polja, toka topline radijacije i poroznog lima, uz pretpostavku da su viskoznost i toplinska vodljivost ovisne o temperature. Primijenjene su jednadžbe formulirane aproksimacijom graničnog sloja i teorijom mikropolarnih fluida. Za rješenje problema, parcijalne diferencijalne jednadžbe transformirane su u obične diferencijalne jednadžbe primjenom rješenja sličnosti, a dobivene jednadžbe rješavane su metodom izbacivanja i metodom Runge-Kutta četvrtog reda (fourth-order Runge-Kutta). Rezultati pokazuju da djelovanje magnetskog polja i poroznosti rezultira smanjenjem vrijednosti brzine u graničnim slojevima, strujanje topline radijacije rezultira povećanjem debljine graničnog sloja. Nadalje, debljina toplinskog graničnog sloja smanjuje se porastom usisnog parametra i redukcijom učinaka radijacijskog i magnetskog polja.

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Approximate analytical solutions for the flow of a third-grade fluid in a pipe

Cited by 86 publications

References 7 publications

Hermite-Padé approximation approach to thermal criticality for a reactive third-grade liquid in a channel with isothermal walls

Hermite-Padé approximation approach to thermal criticality for a reactive third-grade liquid in a channel with isothermal walls

Analysis of Entropy Generation Rate in an Unsteady Porous Channel Flow with Navier Slip and Convective Cooling

The effect of temperature-dependent viscosity and thermal conductivity on micropolar fluid over a stretching sheet

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