Convection Flow Of non-Newtonian Fluid Research Articles

Local non-similar solution for MHD mixed convection flow of a power law fluid along a permeable wedge with non-linear radiation

In this study, a novel investigation for the effects of non-linear thermal radiation and magnetic field is conducted on mixed convection flow of non-Newtonian fluid along a permeable wedge. Power-law model is used as a non-Newtonian fluid model that predicts shear thinning/thickening effects. For theoretical analysis, a mathematical model in terms of nonlinear PDEs are transformed into a dimensionless non-similar model which is treated as a non-linear ODE when streamwise coordinate is assumed as a constant. The obtained system is solved numerically using the built-in ‘bvp4c’ technique, and the effects of the pertinent parameters is examined through plots illustrating the velocity profiles, temperature distributions, Nusselt number, and skin friction coefficients. From the results, it is revealed that heat transfer rate accelerates in occurrence of assisting flow as compared to opposing flow and further in the existence of thermal radiation, heat transfer rate becomes higher which is crucial in industry because more enhancement in heat transfer rate is required. Skin friction coefficient reduces in the occurrence of opposing flow as compared to assisting flow and further reduction is noted by taking thermal radiation.

Computational study of double diffusive MHD natural convection flow of non-Newtonian fluid between concentric cylinders

This study investigated double diffusion natural convection of Casson fluids in an asymmetrical cavity under a constant magnetic field. The intricacies of flow and heat/mass transfer were explored computationally using the finite element method. With applications in fields such as geology, oceanography, metallurgy, and astrophysics, it investigates the impact of key parameters like the Rayleigh number, Casson parameter, buoyancy ratio, Hartmann number, and Darcy number on entropy generation, fluid velocity, and temperature/concentration gradients. The findings illustrate that increasing the Rayleigh number enhances convection and entropy, while a higher Casson parameter leads to reduced mixing due to the fluid's more solid-like behavior. Enhancing the buoyancy ratio improves heat and mass transfer, and a greater Darcy number boosts convection efficiency. Additionally, a higher Hartmann number reduces fluid friction but increases mass diffusion and magnetic disorder, subtly improving thermodynamic efficiency. This research offers valuable insights for optimizing heat transfer and energy efficiency in high-temperature industrial processes, contributing to advancements in sustainability and energy utilization.

Semi-Analytical Solution of Natural Convection Flow of Non-Newtonian Fluid With Temperature-Dependent Viscosity In Pipe

Abstract: This paper presents semi-analytical solution of natural convection flow of non-newtonian fluid with temperaturedependent viscosity in pipe. The governing equations were solved using perturbation technique. The results obtained were analyzed for various thermo-solutal parameters involved in the dimensionless equations. Results within the constant viscosity show that increase in these parameters increases the velocity of the fluid flow as well as the temperature of the cylindrical pipe. It is observed that increase in the Reynold’s viscosity indices increases the temperature of the cylindrical pipe greatly.

Approximate Analytical Study of Natural Convection Flow of Non-newtonian Fluid Through Parallel-Pates With Heat Generation

In this present paper, approximate analytical study of natural convection flow of non-Newtonian fluid through Parallel-plates with heat generation is considered. The coupled non-linear momentum and energy equations was solved using perturbation technique. The cases of constant viscosity and temperaturedependent viscosity are treated with the case of temperature-dependent viscosity considered in two models: Reynold's model and Vogel's model. Within the constant viscosity case, results show that increase in the non-Newtonian parametersß, M, decreases the velocity of the fluid flow and increase in these parameters enhances the temperature of the plates. The effects of non-Newtonian and viscosity indices of both Reynold's and Vogel's models on velocity and temperature profiles are presented.

Heat and Mass Transfer Analysis of MHD Jeffrey Fluid over a Vertical Plate with CPC Fractional Derivative

Free convection flow of non-Newtonian fluids over flat, heated surfaces is an important natural phenomenon that also occurs in human-made engineering processes under various physical and mechanical situations. In the current study, the free convection magnetohydrodynamic flow of Jeffrey fluid with heat and mass transfer over an infinite vertical plate is examined. Mathematical modeling is performed using Fourier’s and Fick’s laws, and heat and momentum equations have been obtained. The non-dimensional partial differential equations for energy, mass, and velocity fields are determined using the Laplace transform method in a symmetric manner. Later on, the Laplace transform method is employed to evaluate the results for the temperature, concentration, and velocity fields with the support of Mathcad software. The governing equations, as well as the initial and boundary conditions, satisfy these results. The impacts of fractional and physical characteristics have been shown by graphical illustrations. The obtained fractionalized results are generalized by a more decaying nature. By taking the fractional parameter β,γ→1, the classical results with the ordinary derivatives are also recovered, making this a good direction for symmetry analysis. The present work also has applications with engineering relevance, such as heating and cooling processes in nuclear reactors, the petrochemical sector, and hydraulic apparatus where the heat transfers through a flat surface. Moreover, the magnetized fluid is also applicable for controlling flow velocity fluctuations.

Entropy generation analysis during MHD mixed convection flow of non-Newtonian fluid saturated inside the square cavity

The present computational study consists of the analysis of energy transport and entropy generation due to MHD mixed convective flow of non-Newtonian fluid filled inside the square cavity. The uniform, linear heat is provided to the fluid through the horizontal bottom and vertical side walls, while considering the top wall of the cavity as adiabatic. The governing flow equations are modeled for non-Newtonian bi-viscous fluid model by using the conservation laws. Galerkin-finite element method (FEM) is used to compute the solution of the governing problem and pressure is eliminated through penalty scheme. Furthermore, two-dimensional convective heat flow is identified by using the idea of Bejan heatlines. Numerical results are computed against wide range of pertinent flow control parameters such as bi-viscosity (β), Prandtl (Pr), Richardson (Ri), Reynolds (Re) and Grashof numbers (Gr). Results show that the fluid velocity, energy transfer rate and entropy generation are increased due to enhancement in bi-viscosity parameter (β). On the other side, the velocity and temperature are decreased by increasing Hartmann number (Ha), however the entropy generation increased. Hence, the minimum entropy generation is reported at β=0.002, Ha=100 and Ri=0.1, respectively.

Buoyancy-driven mixed convection flow of FENE-P fluids over a flat plate

The primary purpose of this study is to investigate the buoyancy mixed convection flow of non-Newtonian fluid over a flat plate. The addition of a small amount of polymers into a Newtonian solvent raises the viscosity and generates elastic properties in the resulting solution. To study the behavior of these viscoelastic fluids, finite extensible nonlinear elastic constitutive equations along with Peterlin’s closure (FENE-P model) are used. Along with mass, momentum and energy equations, viscoelastic constitutive equations are also used to examine the rheology of the resulting polymer solution. Similarity transformations are introduced to convert the governing equations into nondimensional forms. The nondimensional equations are solved using the fourth-order boundary value solver in MATLAB. The distribution of the velocity and temperature fields is displayed graphically under the impact of various involved parameters like Eckert number (Ec), Richardson number (Ri), Prandtl number (Pr). The addition of polymers increases the friction among the different fluid layers, leading to viscous dissipation in the fluid. The presented model’s validation is done with the Newtonian fluid to verify the results. The Nusselt number is also computed and analyzed to study the heat transfer rate. The effects of viscoelastic parameters like Weissenberg number (W[Formula: see text]), polymer viscosity ratio ([Formula: see text]) and polymer extensibility parameter ([Formula: see text]) on heat transfer rate are also shown graphically. Buoyancy parameter (Richardson number, [Formula: see text]) represents the dominance of natural convection relative to that of forced convection. The temperature of the resulting fluid falls with the increase in the value of Ri. The Nusselt number tends to decrease with increasing Richardson number when viscous dissipation effects are active.

Variable thermal conductivity and thermophoretic aspects of free convection flow of a micropolar fluid due to a permeable cone: Heat source/sink

Boundary layer analysis is introduced for providing a numerical treatment of steady state free convection flow of non-Newtonian fluid of micropolar type through an isothermal vertical permeable cone under impacts of variable thermal conductivity and thermophoretic force. Both heat generation or absorption and viscous dissipation are considered. The resulting altered boundary layer flow equations are numerically tackled by the help of the implicit finite difference approach. Two states are addressed: one corresponds to constant thermal conductivity, and the other is variable thermal conductivity. The skin friction, couple stress coefficients fluctuations, and Nusselt number for miscellaneous significant sundry factors are presented graphically and argued. From the calculated outcomes, the coefficient of couple stress reduces for larger values of vortex viscosity parameter R, while the reverse trend is noticed through the surface temperature exponent m factor. Augmentation in thermophoretic factor ω leads to the thermophoretic forces that encapsulates the mass transmission. As a certain case, the system flow equations of a classical Newtonian liquid are gained, by dropping the micropolar factors consequences.

Lorentz force and Darcy-Forchheimer effects on the convective flow of non-Newtonian fluid with chemical aspects

The purpose of this study is to inspect the flow of magneto-hydrodynamic third-grade liquid through Darcy-Forchheimer’s porous space with variable features. Energy expression is explored by the convective condition and Joule heating effect. Features of homogeneous-heterogeneous reactions are accounted. Both auto-catalysts and reactants are considered equal diffusion coefficients. The incompressible liquid is conducted electrically. Proper variables convert the nonlinear flow systems to ordinary ones. Then the HAM technique is implemented for the series solution. The upshots of various variables such as the Magnetic variable, diffusion coefficient ratio parameter, Baiot number, and Prandtl number are displayed graphically. Numerical data of drag force is executed and elaborated. Our outcomes declared that temperature gradient enhances with increment in magnetic parameter and Biot number. Moreover, concentration shows a contrary trend against higher strength of homogeneous and heterogeneous reactions.

Variable Thermo-Physical and Electrical Field Influence on Nonlinear Convective Flow of non-Newtonian Fluid through an Inclined Annular Micro-Channel with Porosity

An investigation of variable thermo-electrical field, viscosity, and thermal conductivity influence on blood rheological (Casson) fluid flow through micro annular channel subjected to suction/injection, slip, jump, and the nonlinear convective process is presented. The assumed steady, fully developed, and magnetized flow through the annular cylinder is modeled and non-dimensionalized under; Slip, jump, suction/injection conditions. Employing the Chebyshev collocation method, an approximate solution of the flow distributions is obtained. Parameters of interest indicate a declination of the flow field to a hike in variable thermal and electrical field parameters, appreciation to the risen value of viscosity parameter. Meanwhile, both momentum and energy distributions were promoted to a wider curvature radius.

Numerical approach to non-Darcy mixed convective flow of non-Newtonian fluid on a vertical surface with varying surface temperature and heat source

Numerical approach to non-Darcy mixed convective flow of non-Newtonian fluid on a vertical surface with varying surface temperature and heat source

Heat transfer analysis on buoyantly convective non-Newtonian stream in a hexagonal enclosure rooted with T-Shaped flipper: Hybrid meshed analysis

It is well consensus among researchers that the non-Newtonian fluid equipped in closed enclosures brings complicated mathematical models and hence one cannot examine flow field truly. The present attempt is first numerical investigation to evaluate the buoyantly convective non-Newtonian fluid flow equipped in hexagonal shaped cavity. The uniformly heated T-shaped fin is embedded at lower wall of hexagonal cavity. The top wall of hexagonal cavity is manifested with an adiabatic condition. The bottom wall of enclosure is taken uniformly heated. Both left and right walls are kept cold. The buoyantly convective Casson fluid flow around uniformly heated T-shaped fin is mathematically controlled by way of system of partial differential equations. The finite element method is adopted to report numerical solution. The hexagonal enclosure as a computational domain is discretized by means of both triangular and rectangular elements. The velocity and temperature distribution around uniformly heated T-shaped are examined towards Rayleigh number. The line graph study is also executed to report the dimensionless Casson fluid and Casson temperature along center and vertical line directions of T-shaped fin. The impact of Rayleigh number on heat transfer rate along the surface of heated fin is also examined and offered by means of line graph. It is observed that the heat transfer rate enhances along the surface of T-shaped fin when we increase the Rayleigh number.

Thermal Dispersion and Melting Impacts on Mixed Convective Non-Newtonian Fluid Flow

Thermal Dispersion and Melting Impacts on Mixed Convective Non-Newtonian Fluid Flow

Computational analysis of thermally stratified mixed convective non-Newtonian fluid flow with radiation and chemical reaction impacts

The important goal of this article is to examine the thermally stratified flow of Oldroyd-B liquid induced by a stretchy sheet. Mathematical model of physical problem is situated with radiation and chemical reaction impacts. By help of similarity transformation, PDE’s are converted into ODE’s with dimensionless variables. Homotopy technique is employed for solving nonlinear ODE’s. Graphs are represented to notify the change of flow parameters, temperature and concentration parameters. Also mass and heat transfer rates are demonstrated through graphically. We observe that Thermal stratification constant reduces the heat transfer rate. On the other hand, thermophoretic and chemical reaction constants boost up the mass transfer rate.

Heat and Mass Transfer on the Mixed Convection of Non-Newtonian Fluids Over a Vertical Wedge with Soret/Dufour Effects and Internal Heat Generation: Variable Wall Temperature/Concentration

This numerical analysis investigated the effects of heat and mass transfer characteristics on the mixed convection flow of non-Newtonian fluids over the vertical wedge in a saturated porous medium with Soret/Dufour effects and internal heat generation. The numerical modeling of this problem has attracted considerable attention from researchers because it has practical applications in biological sciences, electronic cooling, advanced nuclear systems, etc. The internal heat generation is assumed to be an exponential decaying form. The power-law model of Ostwald–de Waele for non-Newtonian fluids is considered. The surface of the vertical wedge is kept at variable wall temperature and concentration. In the analysis of mixed convection, which included free convection and forced convection, parameter varies from 0 (pure free convection) to 1 (pure forced convection). The transformed equations are obtained by using a suitable coordinate transformation, and then, Keller box method is utilized to solve the non-similar equations. Comparisons with data published previously showed good agreement. Both the local Nusselt number and the local Sherwood number increase with increasing the exponent of variable wall temperature/concentration. Increasing the internal heat generation coefficient decreases (increases) the local Nusselt (Sherwood) number. As the power-law index is increased, the local Nusselt and Sherwood numbers are decreased.

Simulation of nanofluid thermal radiation in Marangoni convection flow of non-Newtonian fluid

Purpose The purpose of this study is to study the impacts of exponential space-dependent heat source (ESHS) and thermal radiation in Marangoni convective flow of Cross fluid. The passively controlled model is developed to exhibit the nanoparticles’ concentration on the surface. Design/methodology/approach The resulting problem under consideration is tackled by using the shooting approach. Findings Temperature field augments with enhancement of the thermophoretic, exponential-based space heat source (ESHS) and radiation parameters, whereas it decays with the increase of the Marangoni ratio parameter. Originality/value To the best of the authors’ knowledge, no such analysis has yet been reported.

Implication of fluid rheology on the hydrothermal and entropy generation characteristics for mixed convective flow in a backward facing step channel with baffle

The present study numerically investigates a two-dimensional, steady, laminar, incompressible and mixed convective flow of non-Newtonian fluid through a backward facing step channel with different baffle configurations. The power-law model is used to capture the confluence of fluid rheology and buoyancy for varying step to baffle distance, varying number of baffles and different arrangement (inline and staggered) of baffles. Different values of power-law index viz. n = 0.5, 0.8, 1, 1.2 and 1.5 are considered to encompass the shear-thinning (n < 1), shear-thickening (n > 1) as well as Newtonian fluids (n = 1) as a special case. The Reynolds number is fixed equal to 100 whereas the Richardson number has been varied within the range of 0.1–1 in the present investigation. The results obtained from the present investigation reveal the implications of power-law index, Richardson number and baffle configuration on the reattachment length, Nusselt number, pressure drop and entropy generation. The results show that the length of the recirculation zones formed in the backward facing step channel increases with increase in Richardson number and decreases with increase in power-law index. It is also found that the variation of heat transfer rate, pressure drop and entropy generation characteristics for varying step to baffle distance, different number of baffles and different arrangement and number of pairs of baffle is dictated by the interplay of power-law index and Richardson number. The findings of this study bear utility towards designing efficient thermodynamic system that can deliver maximum heat transfer with minimum irreversibility.

Analysis of natural convective flow of non-Newtonian fluid under the effects of nanoparticles of different materials

The purpose of this paper is to examine the effects of natural convection flow of viscoelastic polydimethylsiloxane non-Newtonian nanofluid under the impact of nanoparticles of different materials past a vertical cone. The implications for operating parameters have been investigated using tables and it is noticed that the nanoparticles unveil substantial impact on the thermal conductivity of base fluid. The temperature profile and the rate of heat transfer behave as an increasing function of nanoparticles. It is found that tiny size particles are more efficacious as compared to large particles on the rate of heat transfer and fluid motion. To validate the current methodology, a numerical comparison is posed with previously published data.

Nonlinear Convective Flow of Non-Newtonian Fluid over an Inclined Plate with Convective Surface Condition: A Darcy–Forchheimer Model

A problem of mixed convective flow of a non-Newtonian power-law fluid over an inclined plate embedded in a non-Darcy porous medium under convective thermal boundary condition is attempted in the present investigation. In addition, the nonlinear temperature–concentration-dependent density relation taken into account to address thermal and solutal transport phenomena in some thermal systems which are performed at high-level temperatures. Initially, the flow equations of the present model are cast into a sequence of ordinary differential equations by the local non-similarity technique. Then the modified set of equations is evaluated by applying a successive linearization method. This numerical study explores the impact of pertinent parameters on the fluid flow characteristics through graphs and the salient features are discussed in detail.

MHD Forced Convective flow of Non-Newtonian fluid through Stumpy Permeable Porous medium

In this paper, we have investigated the simulation on the magnetohydrodynamic (MHD) forced convective flow through stumpy permeable porous medium (oil sands, sand) using Lattice Boltzmann method. Simulation is carried out for non-Newtonian fluids, both shear-thinning and shear thickening, by varying the power law index from 0.5 to 1.5 in the Carreau-Yasuda model, which is used to represent non-Newtonian fluids. Parameters involved in Lattice Boltzmann method and Carreau model are identified appropriately to achieve numerical convergence. Permeability and porosity are varied in the range of 10-10 to 10-6 and 0.1 to 0.7, respectively, to match actual geometrical properties of low permeable porous media such as sandstone and sand. Numerical technology is validated by establishing Darcy’s law by plotting the graph between velocity and pressure gradient. Consequently, the investigation is carried out to study the influence of material properties of porous medium on flow properties such as velocity, temperature profiles and Nusselt number.