Newtonian Heating Effects Research Articles

Numerical Analysis of Newtonian Heating Convective Flow by Way of Two Different Surfaces

In this paper, we offer a numerical study on heated non-Newtonian fluid with a Newtonian heating effect towards thermally stable stretching surfaces. A comparative analysis for two stretched surfaces, namely, plate and cylinder, is offered. The Casson fluid model is considered to be a non-Newtonian fluid model. By applying the suitable set of transformations, the non-linear coupled PDEs are transformed into non-linear ODEs. It is difficult to obtain the exact solution of such non-linear differential equations; therefore, we used the shooting method along with Runge–Kutta scheme. The influence of pertinent flow variables on velocity and temperature is presented through graphs. Notably from the results, heat generation parameters, Newtonian heating, and magnetic parameters enhanced the temperature profile, whereas Casson fluid and magnetic field parameters reduced the fluid velocity. It is also observed that increases in fluid temperature were more influenced at the cylindrical surface as compared with the flat plate. Moreover, we obtained remarkable results for the heat transfer rate by imposing Newtonian heating conditions at the surface; tables are used to present variations in the skin friction coefficient and Nusselt number at the thermally stable surfaces.

Generalized Mittag-Leffler Kernel Form Solutions of Free Convection Heat and Mass Transfer Flow of Maxwell Fluid with Newtonian Heating: Prabhakar Fractional Derivative Approach

In this article, the effects of Newtonian heating along with wall slip condition on temperature is critically examined on unsteady magnetohydrodynamic (MHD) flows of Prabhakar-like non integer Maxwell fluid near an infinitely vertical plate under constant concentration. For the sake of generalized memory effects, a new mathematical fractional model is formulated based on a newly introduced Prabhakar fractional operator with generalized Fourier’s law and Fick’s law. This fractional model has been solved analytically and exact solutions for dimensionless velocity, concentration, and energy equations are calculated in terms of Mittag-Leffler functions by employing the Laplace transformation method. Physical impacts of different parameters such as α, Pr, β, Sc, Gr, γ, and Gm are studied and demonstrated graphically by Mathcad software. Furthermore, to validate our current results, some limiting models such as classical Maxwell model, classical Newtonian model, and fractional Newtonian model are recovered from Prabhakar fractional Maxwell fluid. Moreover, we compare the results between Maxwell and Newtonian fluids for both fractional and classical cases with and without slip conditions, showing that the movement of the Maxwell fluid is faster than viscous fluid. Additionally, it is visualized that both classical Maxwell and viscous fluid have relatively higher velocity as compared to fractional Maxwell and viscous fluid.

Thermophoretic particle deposition and heat generation analysis of Newtonian nanofluid flow through magnetized Riga plate

AbstractThe Riga surface is composed of an electromagnetic actuator that comprises a span‐wise associated array of discontinuous electrodes and an everlasting magnet mounted over a planer surface. The electro‐magneto‐hydrodynamic has an attractive role in thermal reactors, fluidics network flow, liquid chromatography, and micro coolers. Inspired by these applications, a laminar, two‐dimensional nanofluid flow with uniform heat sink‐source, thermophoretic depositions of the particles, and the Newtonian heating effect are investigated. The equations that describe the fluid motion are reduced into a system of ordinary differential equations with the help of spatial similarity variables. Numeric solutions of ordinary differential equations are executed through the Runge–Kutta–Felhberg 45 order technique via a shooting scheme. The role of various nondimensional factors on physically interesting quantities is elaborated graphically. The velocity profile rises for modified Hartmann number and decreases for porosity parameter. Thermal enhancement is high in the common wall temperature condition comparative to the case of the Newtonian heating conditions. The concentration profile is enhanced with Schmidt number, but the reverse trend is observed for the thermophoretic parameter. The rate of mass transfer is increased with Schmidt number.

An Analytical Study of Internal Heating and Chemical Reaction Effects on MHD Flow of Nanofluid with Convective Conditions

This research investigates the influence of the combined effect of the chemically reactive and thermal radiation on electrically conductive stagnation point flow of nanofluid flow in the presence of a stationary magnetic field. Furthermore, the effect of Newtonian heating, thermal dissipation, and activation energy are considered. The boundary layer theory developed the constitutive partial differential momentum, energy, and diffusion balance equations. The fundamental flow model is changed to a system of coupled ordinary differential equations (ODEs) via proper transformations. These nonlinear-coupled equations are addressed analytically by implementing an efficient analytical method, in which a Mathematica 11.0 programming code is developed for numerical simulation. For optimizing system accuracy, stability and convergence analyses are carried out. The consequences of dimensionless parameters on flow fields are investigated to gain insight into the physical parameters. The result of these physical constraints on momentum and thermal boundary layers, along with concentration profiles, are discussed and demonstrated via plotted graphs. The computational outcomes of skin friction coefficient, mass, and heat transfer rate under the influence of appropriate parameters are demonstrated graphically.

Effect of Newtonian heating on two-phase fluctuating flow of dusty fluid: Poincaré–Lighthill perturbation technique

Effect of Newtonian heating on two-phase fluctuating flow of dusty fluid: Poincaré–Lighthill perturbation technique

Heat and mass transfer on MHD convective unsteady flow of a Jeffrey fluid past an inclined vertical porous plate with thermal diffusion Soret and Aligned magnetic field

This article has the objective of examining to perform unstable magnetohydrodynamic flow over an inclined plate enclosed in a penetrable mechanism with Soret-aligned magnetic field and chemical reaction. Once momentum and energy and mass are equal, they can be combined using the diffusion equation to yield the dimensionless momentum/energy/mass model. Aligned Magnetic field, Jeffrey Parameter, Inclined angle, and Chemical Reaction Model outlines are used to study the effect of numerous physical parameters on boundary layer properties, including Soret temperature, chemical reaction velocity, Temperature and concentration on the resulting heat accumulation profile, are tested using parametric models. The findings derived from skin friction, Nusselt number, and Sherwood numbers are included in the tables provided for several parameters. It is observed from the results that the velocity profile increases with increase Thermal and Mass Grashof Numbers, Jeffery Parameter and Porous media but the opposite trends are seen with increase in the magnetic field parameter, inclined parameter and Aligned magnetic field parameter. One of the important findings of this analysis includes that intensification in the Newtonian heating effect causes a gradual downfall in the rate of heat transfer at the plate and the concentration of the fluid decreases under the impact of chemical reaction. Their physic- Chemical features have been dealt with in detail. This fluid flow model has several industrial applications in the field of chemical, polymer, medical sciences, etc.

Natural convection flow of radiative maxwell fluid with Newtonian heating and slip effects: Fractional derivatives simulations

The unsteady natural convection flow for the maxwell fluid due to infinite plate is inspected with help off ractional derivatives. The effects of slip conditions, Newtonian heating effect, MHD, and radiation are also considered. The recent definitions of fractional derivatives i.e. Atangana-Baleanu (AB) and Caputo-Fabrizio (CF) fractional derivatives are used to construct the fractional modal of leading partial differential equations. The semi-analytical solution of the governing equations is attained by utilizing the Laplace transformation and some numerical techniques i.e. Stehfest and Tzou's algorithms. Moreover, to analyze the physical significance of the under consideration problem, the graphical analysis is explored. The results concluded that the temperature and velocity profile obtained via CF-fractional derivative shows a declining trend when compared with AB-fractional derivative. Furthermore, the velocity and temperature fields were also decayed by varying the value of fractional parameters in both AB and CF cases.

Dufour Effect on Transient MHD Double Convection Flow of Fractionalized Second-Grade Fluid with Caputo–Fabrizio Derivative

This article presents the problem, in which we study the unsteady double convection flow of a magnetohydrodynamics (MHD) differential-type fluid flow in the presence of heat source, Newtonian heating, and Dufour effect over an infinite vertical plate with fractional mass diffusion and thermal transports. The constitutive equations for the mass flux and thermal flux are modeled for noninteger-order derivative Caputo–Fabrizio (CF) with nonsingular kernel, respectively. The Laplace transform and Laplace inversion numerical algorithms are used to derive the analytical and semianalytical solutions for the dimensionless concentration, temperature, and velocity fields. Expressions for the skin friction and rates of heat and mass transfer from the plate to fluid with noninteger and integer orders, respectively, are also determined. Furthermore, the influence of flow parameters and fractional parameters α and β on the concentration, temperature, and velocity fields are tabularly and graphically underlined and discussed. Furthermore, a comparison between second-grade and viscous fluids for noninteger and integer is also depicted. It is observed that integer-order fluids have greater velocities than noninteger-order fluids. This shows how the fractional parameters affect the fluid flow.

Investigation of MHD Casson fluid flow past a vertical porous plate under the influence of thermal diffusion and chemical reaction

AbstractThe paper presented here discloses a detailed analytical study as to how the Casson fluid flows with characteristic properties of heat and mass transfer in an unsteady convective magnetohydrodynamic environment under the influence of thermal diffusion and chemical reaction. With the said characteristics, the fluid flows past over an oscillating vertical plate. The applicable partial differential equations are solved analytically using the perturbation technique and numerically using Matlab software. With the help of velocity, temperature and concentration, skin friction, Nusselt number, and Sherwood number are obtained and represented in tabular form. One of the important findings of this analysis includes that intensification in the Newtonian heating effect causes a gradual downfall in the rate of heat transfer at the plate and the concentration of the fluid decreases under the impact of a chemical reaction. Their physicochemical features have been dealt with in detail. This fluid flow model has several industrial applications in the fields of chemicals, polymers, medical sciences, and so forth.

Generalized thermal investigation of unsteady MHD flow of Oldroyd-B fluid with slip effects and Newtonian heating; a Caputo-Fabrizio fractional model

This article critically examines the influences of Newtonian heating and slip effects on unsteady magnetohydrodynamic (MHD) flow of an Oldroyd-B fluid near an infinitely long plate. The nonlinear thermal radiation influence is considered in normal direction to the vertical plate. A modern definition of Caputo-Fabrizio fractional derivative is applied to generalize the constitutive mass and energy equations. The Laplace transformation technique and Durbin’s numerical algorithm are served to develop the solutions of proposed problem. The solutions are determined for both fractional and ordinary cases and Stehfest’s and Zakian’s numerical algorithms are employed to secure the authenticity of these solutions. The relations for Nusselt number and skin friction coefficient are efficiently computed to precisely estimate the shear stress and rate of heat transfer at boundary. The respective numerical computations are accessible through tables. To comprehensively analyze the dynamics of the proposed problem, physical influence of various parameters is studied and repercussions are graphically highlighted and discussed. Furthermore, two limiting models named as second grade model and Maxwell model are deduced to compare the pertinent flow characteristics. A comparative analysis between fractional and classical models depicts that the Caputo-Fabrizio fractional model explains the memory effects more adequately.

The Effects of Newtonian heating and velocity ratio on entropy generationc in thermally dissipating flow above a thin needle

In this article, we investigated entropy generation analysis for viscous fluid over a thin needle. Two types of viscous fluids namely air and water are considered as counter examples. The energy dissipating term is included in the axial direction. The Newtonian heating condition is considered on the needle boundary. The governing equations for the flow under consideration are modeled in terms of partial differential equations (PDEs) which are then transformed into ordinary differential equations (ODEs) by using appropriate similarity variables. The transformed ODE's are then solved numerically using a numerical technique known as the Quasi-linearization method. The effects of embedded flow parameters on velocity, skin-friction, temperature, Nusselt number, Bejan number, and the irreversibility distribution ratio are determined graphically in several plots for both air and water. It is noticed that the total entropy generation Nst rate decreases with the increasing size of the thin needle. It is also found that the velocity ratio parameter ε reduced the skin friction. It is worth noting that the needle size a and the Newtonian heating parameter γ reduced the irreversibility distribution ratio Φ.

Exact solutions for thermomagetized unsteady non-singularized jeffrey fluid: Effects of ramped velocity, concentration with newtonian heating

The classical calculus due to the fact that it assumed as the instant rate of change of the output, when the input level changes. Therefore it is not able to include the previous state of the system called memory effect. But in the Fractional Calculus (FC), the rate of change is affected by all points of the considered interval, so it is able to incorporate the previous history/memory effects of any system. Due to the importance of this effect we used the modern concept of the Caputo-Fabrizio fractional derivative on the considered Jeffrey fluid model. In this paper the effect of Newtonian heating, concentration and velocity on unsteady MHD free convective flow of Jeffrey fluid over long vertical an infinite ramped wall nested in porous material are discussed. Exact analytical solutions are derived via Laplace transformation technique for principal equations of energy, concentration and ramped velocity. The prime features of various coherent parameters are deliberated and illuminated with the aid of plotted graphs. A comparative study to show the significance of fractional order model with an integer order model is accomplished. The fractional order model is found to be the best choice for explaining the memory effect of the considered problem. It is identified that temperature distribution, concentration and ramped velocity profiles for fractional model are converges to an ordinary model when fractional parameter tends to integer order, which shows that fractional model is more appropriate to explicate experimental results.

Significance of Stefan Blowing and Convective Heat Transfer in Nanofluid Flow Over a Curved Stretching Sheet with Chemical Reaction

The applications of fluid flow with Newtonian heating effect include conjugate heat conveyance around fins, petroleum industry, and heat exchangers designing. Motivated from these applications, an attempt has been made to analyze the stream of viscous nanomaterial subjected to a curved stretching sheet. Also, heat and mass transport mechanism due to a chemical reaction, Brownian and thermophoresis motion are discussed. The equations of the mathematical model are formulated by considering the Newtonian heating and Stefan blowing conditions at the boundary. These modelled equations are then changed to a system of nonlinear equation involving ordinary derivatives of a function by means of suitable similarity transformations. Further, shooting technique with Runge-Kutta-Fehlberg-45 process is utilized to solve the reduced equations. Outcomes disclose that, the gain in Stefan blowing parameter escalates the liquid velocity. The intensification in chemical reaction rate parameter deteriorates the concentration gradient. The rise in Schmidt number and thermophoresis parameter drops the mass transfer rate. The increased values of Newtonian heating parameter with respect to thermophoresis parameter decays the heat transport rate.

Generalized Unsteady MHD Natural Convective Flow of Jeffery Model with ramped wall velocity and Newtonian heating; A Caputo-Fabrizio Approach

This theoretical investigation aims to highlight the unsteady freely convective fractional motion of a Jeffery fluid near an infinite vertical plate. The additional effects of ramped velocity condition, Newtonian heating, magnetohydrodynamics (MHD), and nonlinear radiative heat flux are also examined. A system of fractional order partial differential equations is established by choosing Caputo-Fabrizio fractional derivative as a foundation. Laplace transformation followed by an adequate choice of unit-less parameters is executed to solve the subsequent ordinary differential equations. Stehfest’s and Zakian’s numerical algorithms are invoked to find and justify the inverse Laplace transform of velocity and shear stress. Temperature and velocity gradients are evaluated at the wall to effectively probe the rate of heat transfer and shear stress. In this regard, numerical computations of Nusselt number and shear stress for several inputs of connected parameters are tabulated. Furthermore, graphical elucidations of velocity and temperature profiles are provided to observe the rise and fall subjected to variation in several parameters. Additionally, the velocity profile for both ramped boundary condition and constant boundary condition is analyzed to get a deep insight into the physical phenomenon of the considered problem. Finally, a comparative analysis between Jeffery fluid and second grade fluid is carried out for both factional and ordinary cases, and it is determined that Jeffery fluids exhibit rapid motion in both cases.

MHD flow of a generalized Casson fluid with Newtonian heating: A fractional model with Mittag–Leffler memory

Modelling for many physical phenomena is greatly influenced by the usage of a fractional operator involving Mittag–Leffler function. The current investigation is concerned with an application of this modern fractional operator to analyze the Newtonian heating effects for the generalized Casson fluid flow. Magnetohydrodynamic (MHD) and porous effects for such fluids are also under consideration in this research. The main problem is modeled as partial differential equations. The “Velocity” and “Temperature” functions are attained by using the analytic tool namely Laplace transform. The analysis of the used modelling parameters has been made by using graphical representations. The numerical computations are performed to validate the data. The graphical results confirm that velocity diminishes obviously with an intensification of the magnetic parameter and grows with the rise of the porosity parameter (conjugate parameter). Fluid flow is controllable for all possible values of the Casson parameter. A special case of the main solution is discussed that reduces to Newtonian fluid.

Newtonian heating effect on laminar flow of Casson fluids: Thermal analysis

AbstractIn the present study, free convective, laminar flow of Casson fluid is investigated numerically over a nonlinear stretched sheet to observe the characteristics of heat transfer in the presence of Newtonian heating. Nonlinear differential equations are derived from the present flow by utilizing the appropriate transformations. Thereafter, for the linear stretching case, an exact solution is applied for the momentum equation, and for the nonlinear stretching case, a convergent numerical technique, SRM, is applied. Computations of SRM and exact solutions are displayed through graphs. For various physical parameters, variation in velocity profile is observed by means of numerical computations and presented graphically. For checking the accuracy and convergence of the proposed method, outcomes are validated with the available outcomes in the literature and compared. The outcomes demonstrate that the velocity profile is reduced for the nonlinear stretching parameter effect, and, with increasing , the temperature is decreased and there is a reduction in the thickness of the thermal boundary layer.

Heat Transfer Analysis of Unsteady Natural Convection Flow of Oldroyd-B Model in the Presence of Newtonian Heating and Radiation Heat flux

The main focus of this theoretical inspection is to explore the control of Newtonian heating on heat transfer for an unsteady natural convection flow of Oldroyd-B fluid confined to an infinitely long, vertically static plate. Partial differential equations are constructed effectively to describe the fluid flow and heat transfer. Some appropriate dimensionless quantities and Laplace transformation are employed as basic tools to evaluate the solutions of these differential equations. However, due to the complex nature of velocity field, solution is approximated by using Durbin’s numerical Laplace inverse algorithm. This solution is further validated by obtaining the velocity solution through algorithms proposed by Stehfest and Zakian. The temperature and velocity gradient are also determined to anticipate the heat transfer rate and skin friction at wall. Some well known results in literature are also deduced from the considered model. Conclusively, to have a deep understanding of the physical mechanism of considered model, and influence of implanted parameters, some outcomes are elucidated with the assistance of tables and graphs. As a result, it is found that under the effect of Newtonian heating, freely convective viscous fluid has greater velocity than Oldroyd-B fluid, Maxwell fluid and second grade fluid.

A Spectral Simulation of Magnetohydrodynamic Convective Nanofluid Slip Flow with Newtonian Heating and Radiative Heat Transfer

In this paper, we present a numerical analysis of natural convection boundary layer flow of a nanofluid over a stretching sheet under the influence of a variable magnetic field in the presence of nonlinear radiative heat transfer, hydrodynamic slip and Newtonian heating effects. The Brownian diffusion and thermophoresis effects are employed to describe the nanofluid flow model consisting of non-linear partial differential equations, which is transformed into a similarity form and then treated with the spectral local-linearization method (SLLM) to present an in-depth analysis of the flow and heat transfer characteristics of the fluid flow. The fluid flow problem finds applications in many engineering devices including geothermal heat source pump and in cooling of electronic devices and stretched wires.

Effects of Newtonian heating and thermal radiation on micropolar ferrofluid flow past a stretching surface: Spectral quasi‐linearization method

AbstractThis study article addressesthe flow and heat transfer characteristics of a magnetite Fe3O4 micropolar ferrofluid flow past a stretching sheet. For practical interest, thermal radiation, Newtonian heating, and a heat source or sink are considered in this investigation. A useful Tiwari‐Das nanofluid model is considered to analyze the microstructure and inertial characteristics of the water‐based nanofluids containing iron oxide. The dimensionless nonlinear ordinary differential equations are solved by employing suitable similarity variables. The resulting nonlinear system is solved by the spectral quasi‐linearization method. The effects of different nondimensional parameters on various profiles are shown graphically and explored in detail. It is found that the micropolar ferrofluid exhibits a higher energy distribution than that of a classical micropolar fluid. Compared to the classical micropolar liquid, local skin‐friction is more significant for the micropolar magnetite ferrofluid. In the presence of Newtonian heating, the thermal behavior of the micropolar nanofluid is remarkably better than that of the classical micropolar fluid.

Stagnation-Point Flow of Casson Fluid in Darcy-Forchheimer Porous Media with Newtonian Heating Effect

Flow of Casson fluid in Darcy-Forchheimer porous medium near a stagnation point over a stretching sheet with Newtonian heating effect is investigated in this paper. The boundary-layer equations are solved numerically for f(0) and θ(0) using the Keller-box method for some values of Casson fluid parameter (β), porous media parameter (κ1), inertia-coefficient parameter (κ2), Newtonian heating parameter (γ), Prandtl number (Pr) and stretching parameter (c).