Some analytical solutions for flows of Casson fluid with slip boundary conditions

Ramesh, K.; Devakar, M.

doi:10.1016/j.asej.2015.02.007

Cited by 75 publications

(25 citation statements)

References 42 publications

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“…Seth et al studied the unsteady MHD free natural convection and radiation effect on the flow of fluids over a moving vertically accelerated plate in the presence of chemical reaction. Apart from this study, many researchers had contributed to studying the unsteady MHD flow of Casson fluids past a flat plate with different boundary conditions. Vanita and Kumar studied the induced magnetic field effect over a vertical cone.…”

Section: Introductionmentioning

confidence: 99%

Unsteady MHD chemically reactive double‐diffusive Casson fluid past a flat plate in porous medium with heat and mass transfer

Das

Mahanta

Shaw

et al. 2019

Heat Trans. Asian Res.

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In this paper, an attempt has been made to analyze the effects of various parameters, such as Soret and Dufour effects, chemical reaction, magnetic field, porosity on the fluid flow, and heat and mass transfer of an unsteady Casson fluid flow past a flat plate. Convective boundary conditions in heat and mass transfer and slip constant on velocity have been taken into account for analysis. The governing equations of the model have been solved numerically using the MATLAB program bvp4c. The impact of various parameters of the model on the velocity, temperature, and concentration profiles has been analyzed through different graphs. To get an insight into the physical quantities of engineering interest, viz, skin friction, Sherwood number, and Nusselt number, their numerical values have been computed for various parameters. The range of the parameters used in numerical computations are Pr (0.3-0.8), ( β 0.5-1.5), M (1-5), A (0.5-1.5), L (0.1-0.9) 0 , D (0.2-4) f , Sr (0.3-6.3), and Sc (0.05-0.15). It has been noticed from the tabulated values that the skin friction gets enhanced with the increase in the thermal and solutal Grashof number,whereas its reverse effects have been observed with an increase in the Biot number. In limiting case, the present study is also compared with the available results in the literature.

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Section: Introductionmentioning

confidence: 99%

Unsteady MHD chemically reactive double‐diffusive Casson fluid past a flat plate in porous medium with heat and mass transfer

Das

Mahanta

Shaw

et al. 2019

Heat Trans. Asian Res.

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show abstract

“…Casson model is widely used for particle-laden fluids. In cardiovascular investigations, the Casson fluid model is capable of redicting the rheological behavior of blood in narrow arteries at low shear rates [47][48][49][50]; in the oil industry, researchers apply a modified Casson equation to model the rheological behavior of a waxy crude oil [51]. The constitutive relationship of Cas-son model is given by:…”

Section: Appendix C: Other Models For Mr Fluidsmentioning

confidence: 99%

Dynamic Sealing Using Magnetorheological Fluids

et al. 2018

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Micropumps are microfluidic components which are widely used in applications such as chemical analysis, biological sensing and micro-robots. However, one obstacle in developing micropumps is the extremely low efficiency relative to their macro-scale counterparts. This paper presents a dynamic sealing method for external gear pumps to reduce the volumetric losses through the clearance between the tips of gears and the housing by using magneto-rheological (MR) fluids. By mitigating these losses, we are able to achieve high efficiency and high volumetric accuracy with current mechanical architectures and manufacturing tolerances. Static and dynamic sealing using MR fluids are investigated theoretically and experimentally. Two Mason numbers M n (p) and M n (Ω) which are defined in terms of pressure gradient of the flow and velocity of the moving boundary respectively are used to characterize and evaluate the sealing performance. A range of magnetic field intensities is explored to determine optimal sealing effectiveness, where effectiveness is evaluated using the ratio of volumetric loss and friction factor. Finally, we quantify the effectiveness of this dynamic sealing method under different working conditions for gear pumps.

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“…Sankad and Nagathan [25] explained the peristaltic transport phenomena for MHD, heat transfer, thermal slip, wall properties, and porous medium for couple stress fluid mode. Ramesh and Devakar [26] studied the mass and heat transfer for peristaltic transport phenomena due to myometrial contractions occur in both symmetric and asymmetric channels.…”

Section: Introductionmentioning

confidence: 99%

Exploration of thermal transport for Sisko fluid model under peristaltic phenomenon

et al. 2020

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The present analysis focuses on the thermal radiation and slips effects on the peristaltic movement of Sisko fluid with the symmetric compliant channel with rheological properties, enhancing damping tools, protection apparatus individuals and in various distinct mechanical procedures. Keeping in mind the considered problem assumptions (Non-Newtonian Sisko fluid model, power-law model, Prandtl number, wall properties, porous space, etc) it is found that the modeled equations are coupled and non-linear. Using low Reynold's number and long wavelength assumptions, the governing system of a nonlinear coupled system of equations with appropriate boundary constraints is solved with the perturbation technique. Due to convectively heated surface fluid between the walls having a small temperature. Sherwood and Nusselt numbers both deduce for fixed radiation values and different Sisko fluid model quantity. Skin friction is maximum in the case of Newtonian, while minimum in case of dilatant model and pseudoplastic models. The influence of numerous parameters associated with flow problems such as Hartman number, Prandtl number, and slip parameters are also explored in detail and plotted for concentration profile, thermal distribution, and momentum distribution profile. From this analysis, it is concluded that velocity escalates for the larger slip. Also, skin friction is found similar for Newtonian and pseudoplastic models where in case of dilatant model it is little different but it increases for these three cases when Schmidt number is increased. Moreover, the shearthinning and shear-thickening behavior of the fluid model is also explained in detail. Industrial applications of the Sisko model include minimum friction , reduction in oil-pipeline friction, uses as a surfactant for comprehensive scales cooling and heating systems, scale-up, flow tracers, and in several others. Nomenclature

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Some analytical solutions for flows of Casson fluid with slip boundary conditions

Cited by 75 publications

References 42 publications

Unsteady MHD chemically reactive double‐diffusive Casson fluid past a flat plate in porous medium with heat and mass transfer

Unsteady MHD chemically reactive double‐diffusive Casson fluid past a flat plate in porous medium with heat and mass transfer

Dynamic Sealing Using Magnetorheological Fluids

Exploration of thermal transport for Sisko fluid model under peristaltic phenomenon

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