This article investigates the behavior of conjugate natural convection over a finite vertical surface immersed in a micropolar fluid in the presence of intense thermal radiation. The governing ...boundary layer equations are made dimensionless and then transformed into suitable form by introducing the non-similarity transformations. The reduced system of parabolic partial differential equations is integrated numerically along the vertical plate by using an implicit finite difference Keller-box method. The features of fluid flow and heat transfer characteristics for various values of micropolar or material parameter, K, conjugate parameter, B, and thermal radiation parameter, Rd, are analyzed and presented graphically. Results are presented for the local skin friction coefficient, heat transfer rate and couple stress coefficient for high Prandtl number. It is found that skin friction coefficient and couple stress coefficient reduces whereas heat transfer rate enhances when the micro-inertia parameter increases. All the physical quantities get augmented with thermal radiation.
This paper is devoted to study the cosmological behavior of homogeneous and isotropic universe model in the context of f(R,Tφ) gravity, where φ is the scalar field. For this purpose, we follow the ...first-order formalism defined by H=W(φ). We evaluate Hubble parameter, effective equation of state parameter (ωeff), deceleration parameter, and potential of scalar field for three different values of W(φ). We obtain phantom era in some cases for the early times. It is found that exponential expression of W(φ) yields ωeff independent of time for flat universe and independent of model parameter otherwise. It is concluded that our model corresponds to ΛCDM for both initial and late times.
•An analysis is performed to study the bioconvection flow along a vertical wavy cone.•The governing equations are transformed into Primitive variable formulations (PVF).•The numerical results are ...obtained through finite difference method.•It is observed that ‘a’ and ‘ω’ has pronounced effect on heat and mass transfer rates.
An analysis is performed to study the bioconvection flow with heat and mass transfer of nanofluid containing gyrotactic microorganisms along a vertical wavy cone. The model includes equations expressing conservation of mass, momentum, thermal energy, nanoparticles and microorganisms. Primitive variable formulations (PVF) are used to transform the dimensionless boundary layer equations into a convenient coordinate system. The equations obtained from PVF are integrated numerically via an implicit finite difference iterative scheme. The effect of the controlling parameters on the dimensionless quantities such as local Nusselt number, local Sherwood number and local density number of motile microorganisms are explored. The numerical results show that the amplitude of the wavy surface of the cone and half cone angle has pronounced effect on the heat transfer coefficient, mass transfer coefficient and density number of the microorganisms coefficient.
ANGPTL8 (Angiopoietin-like protein 8) is a newly identified hormone emerging as a novel drug target for treatment of diabetes mellitus and dyslipidemia due to its unique metabolic nature. With ...increasing number of studies targeting the regulation of ANGPTL8, integration of their findings becomes indispensable. This study has been conducted with the aim to collect, analyze, integrate and visualize the available knowledge in the literature about ANGPTL8 and its regulation. We utilized this knowledge to construct a regulatory pathway of ANGPTL8 which is available at WikiPathways, an open source pathways database. It allows us to visualize ANGPTL8’s regulation with respect to other genes/proteins in different pathways helping us to understand the complex interplay of novel hormones/genes/proteins in metabolic disorders. To the best of our knowledge, this is the first attempt to present an integrated pathway view of ANGPTL8’s regulation and its associated pathways and is important resource for future omics-based studies.
•An update of ANGPTL8 gene/protein structure, its expression profile and its regulation is summarized and presented.•A literature curated ANGPTL8 regulatory pathway is constructed using systems biology tools and methods.•The constructed ANGPTL8 regulatory pathway represents a genomics research resource.•It can be accessed online at WikiPathways (Id=WP3915).
In this article, natural convection boundary layer flow is investigated over a semi-infinite horizontal wavy surface. Such an irregular (wavy) surface is used to exchange heat with an external ...radiating fluid which obeys Rosseland diffusion approximation. The boundary layer equations are cast into dimensionless form by introducing appropriate scaling. Primitive variable formulations (PVF) and stream function formulations (SFF) are independently used to transform the boundary layer equations into convenient form. The equations obtained from the former formulations are integrated numerically via implicit finite difference iterative scheme whereas equations obtained from lateral formulations are simulated through Keller-box scheme. To validate the results, solutions produced by above two methods are compared graphically. The main parameters: thermal radiation parameter and amplitude of the wavy surface are discussed categorically in terms of shear stress and rate of heat transfer. It is found that wavy surface increases heat transfer rate compared to the smooth wall. Thus optimum heat transfer is accomplished when irregular surface is considered. It is also established that high amplitude of the wavy surface in the boundary layer leads to separation of fluid from the plate.
•Conducted effect of conduction-convection-radiation on the flow of viscous fluid over wavy horizontal surface.•Rosseland diffusion approximation is used for the radiation effect.•Implicit finite difference iterative method is used for the numerical computation.•It is found that thermal radiation plays a vital role in enhancement of heat transfer rate.
In this paper, we study dynamics of the charged plane symmetric gravitational collapse. For this purpose, we discuss non-adiabatic flow of a viscous fluid and deduce the results for adiabatic case. ...The Einstein and Maxwell field equations are formulated for general plane symmetric spacetime in the interior. Junction conditions between the interior and exterior regions are derived. For the non-adiabatic case, the exterior is taken as plane symmetric charged Vaidya spacetime while for the adiabatic case, it is described charged plane symmetric spacetime. Using Misner and Sharp formalism, we obtain dynamical equations to investigate the effects of different forces over the rate of collapse. In non-adiabatic case, a dynamical equation is joined with transport equation of heat flux. Finally, a relation between the Weyl tensor and energy density is found.
•Heat and mass transfer effects are observed for the non-absorbing medium over the semi-infinite vertical wavy surface.•Convection and thermal radiation interacts simultaneously in the boundary ...conditions with the aid of Stephan-Boltzmann law.•The solutions are obtained for liquid metals and discussed in terms of local skin friction, heat transfer and Sherwood number coefficients.
This analysis discuss the influence of heat and mass transfer on natural convection boundary layer flow of thermally radiating wavy surface. To make the surface radiating; Stephan-Boltzmann law is used in the boundary conditions. Therefore, convection and thermal radiation interact simultaneously with the aid of Stephan-Boltzmann law and ultimately producing highly nonlinear boundary conditions. The governing coupled boundary layer equations are switched into suitable form by using primitive variable formulations over which two-point iterative finite difference scheme is applied to obtain the unknown quantities. Physical quantities like wall shear stress, rate of heat transfer and rate of mass transfer are expressed graphically by varying significant emerging parameters: surface radiation (R), radiative length parameter (ξ), buoyancy ratio parameter (N) and amplitude of the wavy surface (α). Comparison of numerical results is also done in tabular form with the earlier study of Siddiqa et al. (2013) in order to validate the results.
Present work describes the applications of magnetic field and thermal radiation on the two-dimensional, unsteady flow of bio-magnetic fluid (blood) in a rectangular vessel. The viscosity of the fluid ...is considered to be an exponential function of temperature. The radiative heat flux is approximated with the help of Stefan Boltzmann law, which is a nonlinear function of temperature. The governing nonlinear, coupled system of partial differential equations for the underlying problem is represented in terms of stream function-vorticity formulation, which is further solved numerically with the help of upwind scheme along with successive over relaxation method. For the validation of the solutions, results are compared with the numerical and experiemental data available in the literature. In order to notice the influence of localized magnetic field and thermal radiation, solutions are presented graphically in terms of streamlines, isotherms, vorticity function contours and velocity component contours and are discussed both qualitatively and quantitatively from the physiological point of view.
The objective of the present work is to investigate the influence of nanoparticles of copper within the base fluid (water) on magneto-hydrodynamic mixed-convection flow in a square cavity with ...internal generation. A control finite volume method and SIMPLER algorithm are used in the numerical calculations. The geometry is a lid-driven square cavity with four interior square adiabatic obstacles. A uniform heat source is located in a part of the left wall and a part of the right wall of the enclosure is maintained at cooler temperature while the remaining parts of the two walls are thermally insulated. Both the upper and bottom walls of the cavity are considered to be adiabatic. A comparison with previously published works shows a very good agreement. It is observed that the Richardson number, Ri, significantly alters the behavior of streamlines when increased from 0.1 to 100.0. Also, the heat source position parameter, D, significantly changes the pattern of isotherms and its strength shifted when D moves from 0.3 to 0.7.
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