Influence Of Nonlinear Radiation Research Articles

Influence of Non-Linear Radiation and Viscous Dissipation on the Convective Fluid Flow with Variable Viscosity and Quadratic Boussinesq Approximation across a Cylinder with Uniform Heat Flux at the Wall

This study examines the effect of non-linear radiation and viscous dissipation on the convective Newtonian fluid flow with temperature-dependent viscosity and the quadratic Boussinesq approximation around a cylinder with uniform heat flux at the wall. The coupled partial differential equations of the problem are non-dimensionalized with appropriate variables and reduced via stream functions. Regular perturbation technique is employed to transform the nonlinear coupled partial differential equations into a system of nonlinear coupled ordinary differential equations solved using the Trapezoidal method. A surge in the radiative parameter was found to heighten the fluid’s velocity and temperature, while an increase in the dissipative effect enhances the skin friction and heat transfer distributions. The limiting cases of the model considered and the results obtained in this study are consistent with those in the literature.

Influence of nonlinear radiation on MHD nanofluid flow over a cone with second‐order velocity and thermal slips: A numerical study

AbstractThis computational study discovered the influence of magnetohydrodynamics nanofluid flow over a vertical cone. The nonlinear form of thermal radiation and irregular heat generation/sink takes an active part in this study. The influences of chemical reactions and second‐order slip parameters (velocity and temperature) are taken into account. Copper nanoparticles were mixed with water as base fluid in the present investigation. The leading partial differential equations which model the flow are altered as a set of nonlinear ordinary differential equations by means of self‐similarity alterations and then a numerical solution is cultivated with the support of fourth order Runge–Kutta Fehlberg method with the shooting method. The influence of appropriate parameters such as nonlinear radiation, chemical reaction, and slip parameters (velocity and temperature) on common fields (concentration, temperature, and velocity) are visualized through graphs. Also, we have analyzed the effects of identical parameters on the coefficient of skin friction and rate of transfer (mass and heat) by means of tables. The skin friction coefficient is boosted when the magnetic parameter is incremented. For larger values of nonlinear radiation parameter , the rate of heat transfer was reduced.

Entropy generation analysis for mixed convective flow of Casson fluid in a vertical microchannel with the influence of nonlinear radiation by maintaining inconstant viscosity

AbstractThe study of entropy generation in the fluid flow has great importance in the field of engineering. The present analysis is to investigate the entropy production in Casson fluid flow in a vertically placed porous‐filled microchannel. The flow is influenced by the nonlinear radiation and exponential heat source. Viscosity is kept varying throughout the flow. The equations which govern the considered flow are nonlinear and are nondimensionalized by considering the appropriate nondimensional variables. The flow problem is tackled by converting the ordinary differential equation (ODE) by assigning the new variables. The flow problem is tackled by using the effective mechanism which involves the finite difference technique by converting the equations into a set of first‐order ODE. The results attained are discussed using the graphs. It is noted that by maintaining the lesser values for the Casson parameter and mixed convection parameter, entropy production can be reduced. The Bejan number profile has the highest magnitude for the variation of mixed convection parameter and the same is found to be less for the nonlinear radiation parameter.

Influence of nonlinear radiation on MHD micropolar fluid flow with viscous dissipation

AbstractThis study takes account of the impact of the convective boundary conditions. The energy equation consists of Joule heating and thermal nonlinear radiation impacts. Contact between the solid and the fluid is also susceptible to a velocity slip. The resultant differential equations system is solved using homotopy analysis method. To find all numerical computations, Mathematica is utilized. The behavior, with graphical results, of pertinent parameters in micropolar fluid flow characteristics is studied. We look at the impact of the material parameter, magnetic parameter, slip parameter, and electrical parameter to grasp the physics of the problem better. Different values of skin friction, wall couple stress, and Nusselt and Sherwood numbers are discussed.

Entropy Generation Incorporating γ-Nanofluids under the Influence of Nonlinear Radiation with Mixed Convection

Nanofluids offer the potential to improve heat transport performance. In light of this, the current exploration gives a numerical simulation of mixed convection flow (MCF) using an effective Prandtl model and comprising water- and ethylene-based γγ−Al2O3 particles over a stretched vertical sheet. The impacts of entropy along with non-linear radiation and viscous dissipation are analyzed. Experimentally based expressions of thermal conductivity as well as viscosity are utilized for γγ−Al2O3 nanoparticles. The governing boundary-layer equations are stimulated numerically utilizing bvp4c (boundary-value problem of fourth order). The outcomes involving flow parameter found for the temperature, velocity, heat transfer and drag force are conferred via graphs. It is determined from the obtained results that the temperature and velocity increase the function of the nanoparticle volume fraction for H2O\C2H6O2 based γγ−Al2O3 nanofluids. In addition, it is noted that the larger unsteady parameter results in a significant advancement in the heat transport and friction factor. Heat transfer performance in the fluid flow is also augmented with an upsurge in radiation.

MHD Non-Newtonian Fluid Flow past a Stretching Sheet under the Influence of Non-linear Radiation and Viscous Dissipation

This work reports the heat and mass transfer of the 2- D MHD flow of the Casson and Williamson motions under the impression of non-linear radiation, viscous dissipation, and thermo-diffusion and Dufour impacts. The flow is examined through an extending zone along with inconsistent thickness. The partial differential equations are extremely nonlinear and lessen to ODEs throughout of the appropriate similarity transformation. The system of nonlinear and coupled ODEs is handled applying a numerical approach with shooting procedure. Numerical solutions for momentum and energy descriptions are deliberated through graphs and tabular form for the impacts of magnetic parameter, Soret and Dufour variables, momentum power index variable, Schmidt number, wall thickness variable, without dimensions velocity slip, heat jump and mass jump variable. Outcomes illustrate that the momentum, temperature, and concentration transfer of the laminar boundary layers of equally non-Newtonian liquid motions are non-consistent. A comparison made with the existing literature which shows an good agreement and confidence of the present outcomes. It shows that Casson parameter restricted the skin friction, local heat and mass transfer while l enhanced the skin friction, local heat and mass transfer. Velocity slip constant decreases the skin friction, local heat and mass transfer and a similar observation for thermal slip constant while an opposite phenomena for the solutal slip constant.

A static and dynamic approach of aluminum alloys (AA7072-AA7075) over a semi-infinite heated plate

The nano-particles in Darcy-Forchheimer porous space are potentially useful in heating and cooling processes, power generation process, microprocessor, glass fiber, extrusion process, damage of crops due to freezing and many others. Due to such potential implications in industry and technology, the Blasius and Rayleigh-Stokes flow of aluminum alloys (AA7072-AA7075) over a semi-infinite heated plate in Darcy-Forchheimer porous space under the influence of nonlinear radiation with Koo and Kleinstreuer model is reported in this investigation. The similarity conversion is performed to reform the governing into buckle-nonlinear of more advanced order. The numerical explanation is accessed for the abridged governing equations with the assistance of RKF-45 technique. Then, the numerical forecast identifies the velocity and temperature distribution thoroughly for the effects of different budding parameters related to present analysis by means of graphs. The nature of Nusselt number and friction factors is visualized through numerical data against the distinct values of influential constraints. The friction factors values are decaying against the incrementing Forchheimer parameter values. The Nusselt number is reduced for higher radiation and nanoparticles volume fraction constraints values.

Simultaneous solutions for first order and second order slips on micropolar fluid flow across a convective surface in the presence of Lorentz force and variable heat source/sink

This report presents the flow and heat transfer characteristics of MHD micropolar fluid due to the stretching of a surface with second order velocity slip. The influence of nonlinear radiation and irregular heat source/sink are anticipated. Simultaneous solutions are presented for first and second-order velocity slips. The PDEs which govern the flow have been transformed as ODEs by the choice of suitable similarity transformations. The transformed nonlinear ODEs are converted into linear by shooting method then solved numerically by fourth-order Runge-Kutta method. Graphs are drowned to discern the effect of varied nondimensional parameters on the flow fields (velocity, microrotation, and temperature). Along with them the coefficients of Skin friction, couple stress, and local Nussel number are also anticipated and portrayed with the support of the table. The results unveil that the non-uniform heat source/sink and non-linear radiation parameters plays a key role in the heat transfer performance. Also, second-order slip velocity causes strengthen in the distribution of velocity but a reduction in the distribution of temperature is perceived.

Influence of non-linear radiation, Joule heating and viscous dissipation on the boundary layer flow of MHD nanofluid flow over a thin moving needle

PurposeThe purpose of this paper is to examine the effect of non-linear thermal radiation, Joule heating and viscous dissipation on the mixed convection boundary layer flow of MHD nanofluid flow over a thin moving needle.Design/methodology/approachThe equations directing the flow are reduced into ODEs by implementing similarity transformation. The Runge–Kutta–Fehlberg method with a shooting technique was implemented.FindingsNumerical outcomes for the coefficient of skin friction and the rate of heat transfer are tabulated and discussed. Also, the boundary layer thicknesses for flow and temperature fields are addressed with the aid of graphs.Originality/valueTill now, no numerical study investigated the combined influence of Joule heating, non-linear thermal radiation and viscous dissipation on the mixed convective MHD flow of silver-water nanofluid flow past a thin moving needle. The numerical results for existing work are new and their novelty verified by comparing them with the work published earlier.

Influence of nonlinear radiation on natural convection flow of carbon nanotubes suspended in water-based fluid along a vertical wavy surface

In this study, we have investigated that how thermal efficiency of the base fluid (water) can be enhanced by incorporating single and multi-walled carbon nanotubes in the presence of nonlinear thermal radiation along a vertical wavy surface. The mixture of carbon nanotubes with the base fluid enhances the convection process and this process can speed up by increasing the radiation effects. Due to the enhancement in the convection process of the nanofluid, the fluid particles disperse more rapidly, and consequently the fluid motion also increases. The proposed mathematical model of the natural convection flow of carbon nanotubes suspended in a water-based fluid along a vertical wavy surface under the radiation effect is developed in the form of partial differential equations and then further reduced to a dimensionless nonsimilar system. A numerical procedure is adopted to obtain the result for emerging dimensionless parameters. The outcomes of this study are presented in the form of numerical data and graphs.

Effect of melting and heat generation/absorption on Sisko nanofluid over a stretching surface with nonlinear radiation

The aim of the present investigation is framing the features of heat generation/absorption and chemical reaction on a non-Newtonian (Sisko) nanofluid over a stretching surface under the influence of nonlinear radiation. The non-dimensionally developed boundary layer equations are first deduced with suitable transformations and then solved numerically by the Runge–Kutta–Fehlberg fourth–fifth method with shooting technique for different values of parameters. The most relevant outcomes of the present study are that augmented magnetic field strength and melting parameter undermine the flow velocity establishing a thinner hydrodynamics boundary layer, while the Sisko fluid parameter, stretching parameter and Prandtl number show the opposite trend. Another important outcome is that an increase in the Sisko fluid parameter, stretching parameter and heat generation decreases the fluid temperature leading to a diminution in the thermal boundary layer. The effects of different natural parameters on the skin friction coefficient, Nusselt and Sherwood numbers are examined graphically. For a limiting case of the present model, an excellent agreement has been found for the obtained solution with the existing literature.

Influence of Nonlinear Radiation and Cross Diffusion on MHD Flow of Casson and Walters-B Nanofluids Past a Variable Thickness Sheet

Influence of Nonlinear Radiation and Cross Diffusion on MHD Flow of Casson and Walters-B Nanofluids Past a Variable Thickness Sheet