Effects of thermal radiation on micropolar fluid flow and heat transfer over a porous shrinking sheet

Bhattacharyya, Krishnendu; Mukhopadhyay, Swati; Layek, G. C.; Pop, Ioan

doi:10.1016/j.ijheatmasstransfer.2012.01.051

Cited by 191 publications

(93 citation statements)

References 63 publications

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“…While there has been theoretical justification for no-slip condition for the velocity on the boundary, the boundary condition for the micro-rotation vector ν needs to be established in a rigorous form. The hyper-stick condition on the boundary as given in Lukaszewicz (1999) is the one adopted here following the studies made by Rees and Bossom (1996); Bhattacharyya et al (2012) and several workers in micropolar fluid flow and hence we take that the microrotation vanishes on the static boundaries.…”

Section: Boundary and Interface Conditionsmentioning

confidence: 99%

Thermodynamic Analysis for the MHD Flow of Two Immiscible Micropolar Fluids Between Two Parallel Plates

Jangili¹,

Murthy²

2015

Frontiers in Heat and Mass Transfer

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The paper aims the heat transfer analysis for the flow of two immiscible micropolar fluids inside a horizontal channel, by the first and second laws of thermodynamics under the action of an imposed transverse magnetic field. The plates of the channel are maintained at constant temperatures higher than that of the fluid. The flow region consists of two zones, the flow of the heavier fluid taking place in the lower zone. The condition of hyper-stick is taken on the plates and continuity of velocity, micro-rotation, temperature, heat flux, shear stress and couple stress are imposed at the interface. The velocity, micro-rotation and temperature profiles are derived analytically and these are used to compute the dimensionless expressions for the entropy generation number and Bejan number. The results are presented graphically. It is observed that the imposed magnetic field reduces the entropy production rate near the walls.

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Section: Boundary and Interface Conditionsmentioning

confidence: 99%

Thermodynamic Analysis for the MHD Flow of Two Immiscible Micropolar Fluids Between Two Parallel Plates

Jangili¹,

Murthy²

2015

Frontiers in Heat and Mass Transfer

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“…Once n = 1, these models can be simplified to traditional ones. [25][26][27] Furthermore, the definition of spin gradient viscosity γ is based on Ahmadi' s reports 48 as…”

Section: Basic Governing Equationsmentioning

confidence: 99%

“…23,25,26 In this paper, neither constants are used, instead m = 1/2 is employed to meet the requirements of a dilute MF, which means the vanishing of the anti-symmetrical part of the stress tensor. [24][25][26] We introduce the non-dimensional similarity variables for a transformation of the original physical governing equation systems with the boundary conditions as follows:…”

Section: Basic Governing Equationsmentioning

confidence: 99%

“…[13][14][15][16] Recently, more investigations into the physical and engineering problems involving MFs have begun to emerge. The main research topics concern stagnation point flow; [17][18][19] heat transfer by free/mixed convection (with inclined enclosure) [20][21][22] and forced convection; 23,24 the stretching/shrinking sheet problems; [25][26][27] incorporating the boundary conditions such as suction/injection, velocity slip, heat radiation and generation, magneto hydrodynamics (MHDs); [26][27][28][29] and even a wavy differentially heated cavity. 30 Also, the flow and heat transfer of a MF through a horizontal/vertical channel 31,32 and applications in biological science 33 have been performed.…”

Section: Introductionmentioning

confidence: 99%

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A novel investigation of a micropolar fluid characterized by nonlinear constitutive diffusion model in boundary layer flow and heat transfer

et al. 2017

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The rheological and heat-conduction constitutive models of micropolar fluids (MFs), which are important non-Newtonian fluids, have been, until now, characterized by simple linear expressions, and as a consequence, the non-Newtonian performance of such fluids could not be effectively captured. Here, we establish the novel nonlinear constitutive models of a micropolar fluid and apply them to boundary layer flow and heat transfer problems. The nonlinear power law function of angular velocity is represented in the new models by employing generalized "n-diffusion theory," which has successfully described the characteristics of non-Newtonian fluids, such as shear-thinning and shear-thickening fluids. These novel models may offer a new approach to the theoretical understanding of shear-thinning behavior and anomalous heat transfer caused by the collective micro-rotation effects in a MF with shear flow according to recent experiments. The nonlinear similarity equations with a power law form are derived and the approximate analytical solutions are obtained by the homotopy analysis method, which is in good agreement with the numerical solutions. The results indicate that non-Newtonian behaviors involving a MF depend substantially on the power exponent n and the modified material parameter K 0 introduced by us. Furthermore, the relations of the engineering interest parameters, including local boundary layer thickness, local skin friction, and Nusselt number are found to be fitted by a quadratic polynomial to n with high precision, which enables the extraction of the rapid predictions from a complex nonlinear boundary-layer transport system. Published by AIP Publishing.

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“…They showed that variable wall temperature leads to the lower values of temperature in thermal boundary layer than the uniform wall temperature does. Bhattacharyya et al [8] considered the influence of thermal radiation on micropolar fluid flow over a shrinking sheet and obtained a dual solution to the problem. Yacob et al [9] studied a micropolar fluid in a steady stagnation-point flow towards a sheet.…”

Section: Introductionmentioning

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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Effects of thermal radiation on micropolar fluid flow and heat transfer over a porous shrinking sheet

Cited by 191 publications

References 63 publications

Thermodynamic Analysis for the MHD Flow of Two Immiscible Micropolar Fluids Between Two Parallel Plates

Thermodynamic Analysis for the MHD Flow of Two Immiscible Micropolar Fluids Between Two Parallel Plates

A novel investigation of a micropolar fluid characterized by nonlinear constitutive diffusion model in boundary layer flow and heat transfer

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

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