Presence Of Thermal Radiation Research Articles

Heat transfer in micropolar hybrid nanofluid flow past a vertical plate in the presence of thermal radiation and suction/injection effects

Hybrid nanofluid are considered as advanced nanofluid, as shown by their thermal properties and budding benefits that aid the drive of increasing the heat transfer rate. This article deals with the MHD natural convective flow of micropolar CuO-Ag/water hybrid nanofluid over a plate placed vertically in a porous medium with the involvement of the suction/injection at the surface of the plate, heat generation/absorption, Joule heating, viscous dissipation, and thermal radiation influence. The similarity transformations are used to translate the fundamental controlling PDEs to ODEs. After that, nonlinear ODEs are solved by means of the R − K − F 4–5th order method and shooting technique. The comparison between the behavior of solution profiles of temperature, micro-rotation and velocity distribution for suction and injection has been visualized graphically. The effect of different shape factors on the solution profiles is also discussed. The influence of the relevant flow parameters on the heat transfer and skin friction factor are also studied. The main observation is that the heat flow rate is higher with the injection effect than with the suction effect.

MHD 3D flow of powell eyring fluid over a bidirectional non-linear stretching surface with temperature dependent conductivity and heat absorption/generation

The Present work addresses the MHD three-dimensional boundary layer flow of Powell Eyring fluid over a bidirectional non-linear stretching surface in the presence of thermal radiation and heat generation/absorption. We also considered the temperature dependent thermal conductivity. The governing flow partial differential equations are transmuted into ordinary differential equations with the help of suitable similarity transformations. The resultant non-linear coupled system is solved numerically by the shooting technique. This article presents the novel exploration of radiative heat transport of Powell Eyring fluid by considering temperature dependent conductivity over a bidirectional non- linear stretching sheet. The effects of various pertinent parameters on the present flow are presented graphically and explained in detail. We noticed that the velocity and temperature fields can be reduced by applying a strong magnetic field. The progress in Prandtl number condenses the temperature field but it improves the rate of heat transfer. Further, it is concluded that the large values of Powell Eyring fluid parameters enhance the skin friction.

Unsteady MHD stream of Casson fluid over an elongating surface in the presence of thermal radiation and viscous dissipation

AbstractThe goal of this study is to analyze the impact of Casson fluid, physical parameters, and suction/injection on two‐phase mass transfer effects on unsteady magnetohydrodynamics flow over an elongating surface in the presence of thermal radiation and viscous dissipation. The system of nonlinear ordinary differential equations of flow, energy, and mass transfer are developed and computations have been carried out through the shooting method along with Runge–Kutta fourth and fifth‐order techniques. The graphs and tables are depicted and explained for the response to various embedded parameters. The are also analyzed for distinct values of . The observations of this examination are well detailed in the present research.

Entropy analysis of MHD flow of Jeffrey fluid in an inclined channel

AbstractThis study is aimed at investigating the influence of entropy analysis of magnetohydrodynamic flow of Jeffrey fluid in an inclined micro‐channel in the presence of thermal radiation and field suction/injection. We have improved the mathematical model of the physical problem under consideration. The designed equations have been solved by applying the shooting‐based fourth‐order, Runge–Kutta method with the boundary conditions, which describe velocity slip and temperature jump conditions at the fluid–wall inter‐face. Numerical efforts are described graphically and mentioned quantitatively concerning different parameters such as Jeffery parameter, Bejan number, and entropy generation embedded in the problem. The numerical results for the expression of the irreversibility ratio are obtained. It is observed that the wall inclination strengthens the entropy production rate in the micro‐channel, and the thermal buoyancy layer induces an increase in fluid velocity as suction.

Double-diffusive convection flow with Soret and Dufour effects in an irregular geometry in the presence of thermal radiation

In this study, the effect of radiation on double-diffusive natural convection is investigated by considering the phenomena of Soret and Dufour in complex geometry, for the first time. The multi-time relaxation lattice Boltzmann method has been adopted to calculate the momentum, energy, and species equations. The radiative transfer equation has been solved using the finite volume method. Complex boundaries have been simulated by the sharp interface-immersed boundary method. The influences of effective parameters including the optical thickness (τ = 1 to 100), Rayleigh number (Ra = 104 and 105), Planck number (Pl = 0.01 to 1), Buoyancy ratio (Br = − 5 to 5), Soret number (Sr = − 1 to 1), and Dufour number (Df = − 1 to 1) have been analyzed on the flow field, heat, and mass transfer in a square cavity with an internal circular cylinder. Moreover, temporal variations of velocity and phase space trajectory have been used to study the effects of radiation on unsteady flow behavior. Results indicate that, the increment in optical thickness significantly reduces radiation, while a sweep behavior occurs in mass and heat transfer. Increasing the Dufour (Soret) parameter depending on the value of the Soret (Dufour) parameter can increase or decrease the mass (heat) transfer.

Analytical and Numerical Analysis of the Squeezed Unsteady MHD Nanofluid Flow in the Presence of Thermal Radiation

In this study, the unsteady squeezing nanofluid flow between two plates with thermal radiation has been investigated. The governing equations of the flow model have been transformed to a set of nonlinear ordinary differential equations (ODEs) from a set of partial differential equations (PDEs) using a suitable similarity variable. The optimal auxiliary function method (OAFM) and Runge–Kutta method of order 4 (RK method of order 4) are used for the solution of the modeled problem. The variation of the squeezing number, Prandtl number, Eckert number, and thermal radiation has been presented. The magnetic field resists the flow velocity, and the Prandtl number resists the temperature distribution. The increase in volume fraction decreases the velocity profile whereas increases the temperature profile. The skin friction coefficient and the Nusselt number are inversely proportional to S . The effect of increasing values of E c is to decrease the skin friction coefficient C f and the heat transfer rate N u x . The increasing value of φ increases the skin friction coefficient and decreases the heat transfer rate.

Application of Caputo Fractional Derivatives to the Convective Flow of Casson Fluids in a Microchannel with Thermal Radiation

In this paper, the application of Caputo fractional derivative on unsteady boundary layer Casson fluid flow in a microchannel is studied. The partial differential equations which governed the problem are considered with the presence of thermal radiation. The fractional partial differential equations are transformed into dimensionless governing equations using appropriate dimensionless variables. It is then solved analytically using the Laplace transform technique which transforms the equations into linear ordinary differential equations. These transformed equations are then solved using the appropriate method, and the inverse Laplace transform technique is applied to obtain the solution in form of velocity and temperature profiles. Graphical illustrations are acquired using Mathcad software and the influence of important physical parameters on velocity and temperature profiles are analyzed. Results show that thermal radiation and fractional parameter have enhanced the velocity and temperature profiles.

Quadratic mixed convective nanofluid flow past a moving yawed cylinder in the presence of thermal radiation and diffusive liquids

AbstractThe fluid flow around a yawed cylinder helps to understand the practical implications for undersea applications, such as managing transference, separating the boundary layer above submerged blocks, and suppressing recirculating bubbles. As many authors such as Roy, Chiu and Lienhard, Roy and Saikrishnan, and Revathi et al. have analyzed a boundary layer flow over a yawed cylinder, and their work sticks to only forced convection, we are interested to work on mixed convection flow. Therefore, the work of these researchers has stimulated us to work on the present article. As a result, we have examined the work on triple diffusion quadratic mixed convective nanofluid flow over a moving yawed cylinder. The impact of yaw angle, which exists due to the inclination of a vertically moving cylinder away from the origin, is mathematically investigated in the present paper by converting the governing equations into a compatible form using appropriate nonsimilar transformations and the quasilinearization technique. Nanofluids have crucial usages in science and technology, marine engineering, and applications in industries such as plastic, polymer industries, cancer home therapy, and building sciences. Many processes in new engineering areas occur at high temperatures, and knowledge of radiation heat transfer becomes very important for designing the pertinent equipment. Nuclear power plants, gas turbines, and the various propulsion devices for aircraft, missiles, satellites, and space vehicles are examples of such engineering areas. The finite difference approximation is employed to solve the resulting equations. Enhancing the magnitude of thermal radiation enhances the temperature of the liquid and the energy transport strength. However, liquid hydrogen and liquid oxygen species concentration patterns are reduced in nanofluid compared to traditional liquids. At the same time, the outcomes behave conversely in the case of their wall gradients. Furthermore, the temperature of the liquid enhances the enhancing values of Brownian motion and thermophoresis characteristics. Moreover, nanoparticle mass transport augments with enhancing yaw angle and Lewis number values. Both species' concentration profiles decrease for increasing values of yaw angle. The velocity profiles increase for increasing values of velocity ratio parameter in the spanwise and chordwise directions.

Hall Effect on MHD Flow and Heat Transfer Over an Unsteady Stretching Permeable Surface In the Presence of Thermal Radiation and a Heat Source/sink

This paper employs the computational iterative approach known as Spectral Local Linearization Method (SLLM) to analyze Hall effect on MHD flow and heat transfer over an unsteady stretching permeable surface in the presence of thermal radiation and heat source/sink. To demonstrate the reliability of our proposed method, we made comparison with Matlab bvp4c routine technique and excellent agreement was observed. The governing partial equations are transformed into a system of ordinary differential equations by using suitable similarity transformations. The results are obtained for velocity, temperature, skin friction and Nusselt number.

Heat Transfer and Flow Attributes of MHD Viscous Fluid Around a Circular Cylinder in Presence of Thermal Radiation

The crux of this paper is to explore heat distribution and motility traits of electrically conducting viscous fluid around a circular cylinder. The flow is two dimensional and is subjected to magnetic field and thermal radiation. Appropriate numeric computing environment is utilized for numerical solution of the set of transformed differential equations obtained using similarity transformation to the governing equations of the problem. The impinges of physical situation and different flow dictating parameters relevant to the problem have been depicted pictorially in the form of graphs. On the basis of these pictorial visualizations, attempts have been made for inferences regarding the problem. Point of separation is procured with respect to pertinent flow traits.

Magnetic radiative buoyancy-driven convection of MWCNTs -C2H6O2 power-law nanofluids in inclined enclosures with wavy walls

The current numerical investigation focuses on the power-law nanofluids behaviors in slant wavy enclosures in the presence of thermal radiation. The entropy of the system together with the flow and thermal features are examined for several patterns of the side wavy walls, namely, Out-Out, In-In and In-out. The components of the suspension are multi-wall carbon nanotubes and ethylene glycol. The magnetic field is considered in the current study to be inclined and its components are expressed in terms of the enclosure inclination angle. The solution scheme is based on the Characteristic-Based Split (CBS) scheme and the resulting system is discretized using the finite element method (FEM). It is noted that the flow structures, temperature, and entropy features have strong responses for changing the patterns of the side walls. Also, for the non-inclined domain, an augmentation in the non-Newtonian fluid flow up to 44.2% is given as the radiation coefficient is altered from 0 to 5.

Thermophoresis and Brownian motion effects on Williamson nanofluid flow past a stretching surface with thermal radiation and chemical reaction

AbstractThe heat transfer mechanism of nanofluids has numerous industrial applications owing to the non‐Newtonian behavior and has been exercised as a thermophysical phenomena in presence of thermal radiation. The present paper deals with the thermal transfer characteristics of time‐independent magnetohydrodynamics Williamson fluid past a stretching surface in presence of the reaction of chemical equilibrium is dealt. The flow constitutive nonlinear partial differential coupled equations are transmitted into ordinary differential equalities by employing relevant similarity transmutations. These deduced equations are determined by using the Runge–Kutta numerical technique with a shooting approach with the aid of MATLAB software. Influences of distinct pertinent flow parameters like an inclined uniform magnetic field, Soret number, heat generation/absorption, and Schmidt number constrained to convective boundary condition is displayed through graphs with relevant physical interpretations. Computed numerical values for the friction factor coefficient, local Nusselt parameter, and Sherwood number are tabulated.

Low-mass dielectron measurements with ALICE at the LHC

Recent measurements of e+e− pair production in pp and p–Pb collisions at the center-of-mass energy √SNN = 5.02 TeV are reported. Cold nuclear matter effects such as shadowing, as well as the possible presence of thermal radiation, are investigated in p–Pb collisions with the dielectron nuclear modification factor RpPb. Furthermore, results on dielectrons at low pT,ee in peripheral Pb–Pb collisions at √SNN = 5.02 TeV and in pp collisions at √S = 13 TeV are presented and compared to calculations.

Lie group analysis of hyperbolic tangent fluid flow in the presence of thermal radiation

AbstractThe present study is devoted to the flow and heat transfer analysis of the hyperbolic tangent fluid through a stretching sheet by considering the effect of thermal radiation in addition to an applied transverse magnetic field, as well as thermal and velocity slip conditions. The Lie group analysis technique has been utilized for establishing similarity transformations, which effectively transform the governing equations to a system of nonlinear ordinary differential equations (ODEs). These ODEs are numerically solved by utilizing the shooting method. The heat transfer properties and flow features under the influence of various physical parameters are also studied. We noted that by increasing the thermal radiation parameter, the temperature profile increases and also the thermal boundary layer thickens. Furthermore, it is deduced that rising the thermal radiation parameter reduces the local Nusselt number. Moreover, the numerical results obtained are in agreement with the existing results in the literature.

Existence of dual solution for micro-polar fluid flow with convective boundary layer in the presence of thermal radiation and suction/injection effects

The goal of this research is to see if there exist dual solutions for the two-dimensional magneto-hydrodynamics (MHD) flow of a micro-polar fluid in a porous media with thermal radiation and suction/injection effects. By considering the porosity and permeability effects, the Darcy model is used to create a micro-polar fluid model over the pores. The nonlinear ordinary differential equations are obtained using an appropriate linear similarity transformation. In terms of the incomplete gamma function, the dual branches of two-dimensional fluid flow are derived in the closed form solution. The analytic closed form solution with duality for all fluid flow parameters, as well as the impacts of the micro-rotation parameter on the Nusselt number due to the dual nature closed form solutions, the impacts of physical parameters on non-dimensional velocity, temperature, skin friction coefficient, micro-rotation, and local Nusselt number are investigated and demonstrated graphically.

Unsteady MHD fluid flow past an inclined vertical porous plate in the presence of chemical reaction with aligned magnetic field, radiation, and Soret effects

AbstractThe aim of the present paper is to investigate the Soret effect due to mixed convection on unsteady magnetohydrodynamics flow past a semi‐infinite vertical permeable moving plate in the presence of thermal radiation, heat absorption, and homogenous chemical reaction subjected to variable suction. The plate is assumed to be embedded in a uniform porous medium and moves with a constant velocity in the flow direction in the presence of a transverse magnetic field. The equations governing the flow are transformed into a system of nonlinear ordinary differential equations by using the perturbation technique. Graphical results for the velocity distribution, temperature distribution, and concentration distribution based on the numerical solutions are presented and discussed. Also, the effects of various parameters on the skin‐friction coefficient and the rate of heat transfer in the form of Nusselt number, and rate of mass transfer in the form of Sherwood number at the surface are discussed. Velocity distribution is observed to increase with an increase in Soret number and in the presence of permeability, whereas it shows reverse effects in the case of the aligned magnetic field, inclined parameter, heat absorption coefficient, magnetic parameter, radiation parameter, and chemical reaction parameter.

Heat transfer performance of a finned shell-and-tube latent heat thermal energy storage unit in the presence of thermal radiation

Phase change materials can emit and absorb radiation, so the role of thermal radiation on melting process becomes prominent with the recovery of medium-high temperature waste heat and the development of concentrating solar power. In the study, a numerical analysis on the heat transfer performance of finned shell-and-tube latent heat thermal energy storage (LHTES) units was conducted where the influence characteristics and mechanism of thermal radiation were particularly emphasized. Also the effect of three fin parameters was examined. Results show that the radiation heat transfer rate is nearly one order of magnitude smaller than total heat transfer rate. However, thermal radiation lengthens the phase interface length and enhances the heat transfer of the lower part, accelerating the melting process considerably, with the liquid fraction enhanced by 7.9% and melting time shortened by 23.3% for the base case. The increase of fin length or fin number weakens the role of thermal radiation. As fin number increases from 4 to 48, the maximum radiation enhancement factor reduces from 7.3% to 1.2%. A fin structure with the angle of 0°, dimensionless length of 1.0 and number of 48 is recommended for improving the heat transfer performance of shell-and-tube LHTES units.

RETRACTED: Impact of Stefan blowing and magnetic dipole on bio-convective flow of Maxwell nanofluid over a stretching sheet

The features of ferromagnetic fluids make it supportive for an extensive usage in loudspeakers, magnetic resonance imaging, computer hard drives, directing of magnetic drug and magnetic hyperthermia. Owing to all such potential applications, the current investigation is to understand the relationship between the thermal distribution, magnetic field and resulting fluid flow of Maxwell liquid over a stretching sheet. Investigation of thermal energy and concentration is carried out in the presence of thermal radiation, non-uniform heat sink/source, chemical reaction, Stefan blowing, magnetic dipole, thermophoresis and Brownian motion. Also, microorganisms are considered just to stabilize the suspended nanoparticles. Boundary layer approximation is employed during mathematical derivation. Based on a new constitutive relation, the governing equations are formulated and are reduced into a coupled non-linear system of equations using appropriate transformations. Further, these equations are solved numerically using fourth-order Runge–Kutta method with shooting technique. The impact of involved parameters is discussed and analysed graphically. Outcomes disclose that Newtonian liquid shows high heat transfer when compared to non-Newtonian (Maxwell) liquid for increased values of Brownian motion and thermophoresis parameters. Increased values of Peclet number declines the rate of gyrotactic microorganisms. Finally, an increase in Brownian and thermophoresis motion parameters declines the rate of heat transfer.

MHD Free Convection from a Semi-infinite Vertical Porous Plate with Diffusion-Thermo Effect

An analytical solution for two-dimensional unsteady MHD free convective mass transfer flows of viscous incompressible optically thin fluid past a semi-infinite vertical porous plate in the presence of thermal radiation and chemical reaction is presented in this paper. A uniform magnetic field is applied normally to the plate with a first-order chemical reaction. The non-dimensional governing equations are solved analytically by using the regular perturbation technique. The effects of various physical parameters like radiation parameter Q, Dufour effect Du, chemical reaction parameter K, thermal Grashof number Gr, Hartmann number M, porosity parameter k, etc., are studied and demonstrated graphically. One of the significant findings of this analysis includes that an intensification of the chemical reaction effect causes a downfall in the fluid concentration. In contrast, another important outcome of the present study is that the rate of heat transfer and shear stress at the wall increases under the diffusion thermo effect or Dufour effect. Still, it tends to fall for high radiation. Further, the rate of mass transfer rises under the chemical reaction effect.

Velocity slip, chemical reaction, and suction/injection effects on two‐dimensional unsteady MHD mass transfer flow over a stretching surface in the presence of thermal radiation and viscous dissipation

AbstractThe purpose of this study is to analyze the impact of velocity slip, chemical reaction, and suction/injection on two‐dimensional mass transfer effects on unsteady MHD flow over a stretching surface in the presence of thermal radiation and viscous dissipation. The governing time‐dependent nonlinear partial differential equations are transformed into nonlinear ordinary differential equations by using similarity transformations. The converted equations are solved using the numerical technique with the help of Keller‐Box method. The effect of nondimensional variables is studied and graphically illustrated on velocity, temperature, concentration, friction factor, Nusselt number, and Sherwood number. Concentration and temperature profiles are enhanced and the contrasting pattern for velocity profiles as increasing the velocity slip and magnetic parameter. The concentration profile is diminished as the Schmidt number (Sc) and chemical reaction (Cr) increase. The concentration, velocity, and temperature profiles display a reversal pattern, as the suction and unsteady parameter (A) increase. The findings of this study are very well‐acknowledged with current research.