MHD Casson Nanofluid Research Articles

Mathematical solutions for coupled nonlinear equations based on bioconvection in MHD Casson nanofluid flow

<p>The mathematical formulation of fluid flow problems often results in coupled nonlinear partial differential equations (PDEs); hence, their solutions remain a challenging task for researchers. The present study offers a solution for the flow differential equations describing a bio-inspired flow field of non-Newtonian fluid with gyrotactic microorganisms. A methanol-based nanofluid with ferrous ferric oxide, copper, and silver nanoparticles was considered in a stretching permeable cylinder. The chemical reaction, activation energy, viscous dissipation, and convective boundary conditions were considered. The Casson fluid, a non-Newtonian fluid model, was used as flowing over a cylinder. The fundamental PDEs were established using boundary layer theory in a cylindrical coordinate system for concentration, mass, momentum, and microorganisms' field. These PDEs were then transformed into nonlinear ODEs by applying transforming variables. ODEs were then numerically solved in MATLAB software using the built-in solver bvp4c algorithm. We established an artificial neural network (ANN) model, incorporating Tan-Sig and Purelin transfer functions, to enhance the accuracy of predicting skin friction coefficient (SFC) values along the surface. The networks were trained using the Levenberg–Marquardt method. Quantitative results show that the ferrous ferric oxide nanofluid is superior in increasing Nusselt number, Sherwood number, velocity, and microorganism density number; silver nanofluid is superior in increasing skin friction coefficient, temperature, and concentration. Interestingly, heat transfer rate decreases with the magnetic and curvature parameters and Eckert number, whereas the skin friction coefficient increases with the magnetic parameter and Darcy–Forchheimer number. The present results are validated with the previous existing studies.</p>

Numerical Solutions for Radiative MHD Casson Nanofluid Flow with Slip, Heat Source, and Chemical Reactions over a Stretching Surface

MHD Casson nanofluid flow in the presence of viscous dissipation, thermal radiation and chemical reaction past a linear stretching surface is investigated. The problem is subjected to slip boundary conditions. The analysis of heat and mass transfer in the presence of Brownian motion and the thermophoretic diffusion effects are incorporated into heat and mass transfer. Nonlinear partial differential equations model governing the problems are transformed into the dimensionless nonlinear ordinary differential equations via similarity variables, then shooting method with sixth-order Runge- Kutta numerical scheme is used to solve the reduce system of Ordinary Differential Equations (ODE). Maple software is used to perform the simulation. The results are presented graphically and in tabular form and the conclusion is drawn that the flow field and other quantities of physical interest are significantly influenced by these parameters. Comparison between the obtained results and previous works are well in agreement. Numerical values of the local skin-friction, Nusselt number and nanoparticle Sherwood number are computed and analyzed. It is noted that the skin-friction coefficient decreases for the larger values of velocity ratio parameter, slip parameter, and increases with an increasing value of Casson parameter. It is also found that enhancing the chemical reaction parameter leads to decrease in concentration profile

Peristaltic flow of MHD Casson nanofluid with heat source/sink and thermal radiation

Peristaltic flow of MHD Casson nanofluid with heat source/sink and thermal radiation

Chemical Reaction and Thermal Radiation Effects on MHD Casson and Maxwell Nanofluid Flow over a Porous Stretching Surface

The focus of this article is on two-dimensional magnetohydrodynamic Casson and Maxwell nanofluid flows on a porous stretched surface, considering the effects of chemical reactions and thermal radiation. For this problem, convective boundary conditions are assumed. By using similarity transformations, the governing partial differential equations of the issue were converted into ordinary differential equations with the help of the similarity transformation, which were then theoretically solved using the Runge-Kutta Fehlberg method and the shooting approach. Plots are used to show how relevant characteristics, such as heat radiation, porosity, and magnetic parameter, have an impact. It is seen that the velocity profiles decrease as the magnetic field increases. Furthermore, the local Sherwood number and the local Nusselt number decrease as the velocity slip parameter rises. The results of this study were compared with the previously published works under some restrictions, and they are found in excellent agreement.

Chemical reaction and radiation analysis for the MHD Casson nanofluid fluid flow using artificial intelligence

This study examines the boundary layer flow of a Casson nanofluid over an inclined extending surface, addressing the critical issue of heat and mass transmission in nanofluid applications. The research is motivated by the need to understand the thermal efficiencies of fluid fluxes influenced by Brownian motion and thermophoresis, particularly in the presence of Soret and Dufour effects. To tackle this complex problem, we employ the Buongiorno model to analyze the nonlinear dynamics of Casson nanofluid flow within an inclined channel, focusing on the intensified boundary layer's critical flow parameters. An innovative approach utilizing Artificial Neural Networks (ANNs) is introduced to solve the intricate nonlinear differential equations governing the heat transfer and flow characteristics of Casson nanofluids. The bvp4c built-in MATLAB function is utilized to assess the performance of the acquired current physical model across various scenarios, and a correlation of the results with a reference data set is conducted to verify the validity and efficiency of the proposed algorithm. This method demonstrates a high level of efficiency and accuracy, achieving a mean squared error in the range of 10−9 to 10−10. The results of this research not only enhance computational efficiency but also improve solution accuracy, making significant contributions to the understanding of coupled heat and mass transfer phenomena. The findings have broad applications across various industries, including biomedical devices, lubrication, energy systems, food processing, and cooling for electronics, where nanofluid flows are prevalent. The inclusion of Soret and Dufour effects further enriches the applicability of this analysis, providing valuable insights into the complex interactions within nanofluid systems. The effect of specific physical parameters is stated in terms of energy, velocity, and mass configuration; the velocity outline decreases with an increase in magnetic parameter. The concentration profile is lowered by an increase in the chemical reaction parameter and thermophoresis factor. As the Brownian motion factor rises, mass diffusion shows increases.

Melting heat transfer and entropy analysis of MHD Casson nanofluid flow through a stretchy surface with Joule heating and complete slip

Purpose The purpose of this study is to examine the melting heat transfer of magnetohydrodynamics Casson nanofluid flow with viscous dissipation, radiation, and complete slip effects on a porous stretching sheet. Since, the study of melting heat transfer has mesmerized the attention of scientists and engineers in the sense of its enormous uses in industrial processes, solidification, casting, and technology. Design/methodology/approach Bejan number and entropy are analyzed. Exploration of irreversibility is modeled using the thermodynamics second law. There is a discussion on thermophoresis and Brownian diffusion along with first-order chemical reactions. Adequate transformations are introduced to convert the controlling partial differential equations to ordinary differential equations. The three-phase Lobatto solvers (bvp5c) are used to obtain numerical solutions of the transmitted equations. Findings The effects of various factors on temperature, velocity, concentration, Bejan number and entropy rate are shown graphically. The velocity field is enhanced by increasing the melting heat parameter, and it declines for growing magnetic parameters. Temperature is decreased for increasing parametric values of melting heat, porous and Casson parameters. A 7% decrease in the Sherwood distribution is seen when we increase the Brownian motion parameter from 0.1 to 0.2. Similarly, an 11% decrement is found in the Nusselt distribution for increasing the Brinkman number from 0.5 to 1. Originality/value Entropy and Bejan number experience dual tendencies whenever the melting heat parameter increases. Nusselt number and skin friction experience the opposite behavior for the increasing values of melting parameter. Sherwood number decreases for the increasing values of melting parameter. The velocity profile is directly related to the melting parameter and inversely related to porous and magnetic parameters. Thermophoresis and Brinkman parameters boost the temperature profile and it is controlled by melting and porous parameters. Some notable fields where the present study is used inevitably are silicon wafering, geothermal energy recovery and semiconductor manufacturing.

Viscous dissipation effects on time-dependent MHD Casson nanofluid over stretching surface: A hybrid nanofluid study

The study of MHD Couple stress Casson flow of a hybrid nanofluid is paramount due to its potential applications in advanced engineering systems, particularly in enhancing thermal management and efficiency in various industrial processes. In this report, the time-dependent MHD Couple stress Casson flow of a hybrid nanofluid, considering the impact of viscous dissipation over a stretching surface is presented. The main objective of this work is to enhance the transformation heat ratio to meet the requirements of the engineering and manufacturing industries. After conducting a continuity check, the issue is analyzed by applying the principles of momentum and energy conservation. This modeling process generates nonlinear partial differential equations (PDEs), which are subsequently converted into nonlinear ordinary differential equations (ODEs) using similarity transformation and thermophysical characteristics. To solve these ODEs, the Approximate Analytical Method HAM is employed, which is specifically designed for nonlinear problems. Velocity decreases with increasing values and higher nanoparticle volume fraction further slows the velocity. Increasing the couple-stress parameter reduces velocity; increasing the Casson parameter slows the velocity profile. Increasing magnetic parameter enhances temperature profile; profile escalates with Eckert number magnitude. These findings contribute significantly to understanding the structure, interactions, and dynamics of such liquids, aligning with the focus on exploring the fundamental properties of simple, molecular, ionic, and complex liquids.

Analytical Solution for MHD Casson Nanofluid Flow and Heat Transfer due to Stretching Sheet in Porous Medium

The feature of having a surface that can stretch has garnered attention in numerous industrial and engineering fields because of its advantages. Nevertheless, most fluid mechanics simulations for stretchable surfaces have predominantly relied on numerical solutions, with a notable lack of theoretical investigations into this matter. Consequently, the current research aims to contribute a theoretical exploration of heat transfer and boundary layer flow for Casson nanofluid on a linearly stretching sheet, considering the existence of porosity and magnetic field effects. Two distinct types of water-based nanofluids containing aluminium oxide and silicon dioxide are examined. By employing similarity transformations, the governing momentum and energy equations undergo transformation and subsequent analytical resolution using Laplace transformations. The resulting solutions are graphically presented to examine the influence of key parameters on temperature and velocity distribution. The analysis indicates that heat transfer is improved by the inclusion of nanoparticles, porosity, and a magnetic field. However, the velocity distribution slows down as a result of higher nanoparticle volume fraction, porosity, and magnetic field imposition.

Analysis of MHD Casson Nanofluid Flow over a Nonlinearly Stretching Surface with Joule Heating, Radiation and Suction Effects

Analysis of MHD Casson Nanofluid Flow over a Nonlinearly Stretching Surface with Joule Heating, Radiation and Suction Effects

Influence of suction and injection on the electrical magnetohydrodynamic behavior of nano-fluid in a nonlinear radiative flow over an extending surface

The present communication aims to investigate the behavior of a radiative electrical MHD Casson nanofluid flowing over a stretched surface, under the influence of nonlinear thermal radiation, and suction/injection effects. The governing equations include parameters for temperature and concentration, which are adjusted based on the dependence of viscosity and thermal conductivity, thus enhancing the fluid flow properties. By using similarity transformations, the system of PDEs is converted to an ODE, which is then numerically solved using the well-known fourth-order Runge–Kutta integration strategy based on the shooting method. The impacts of operating parameters on velocity, temperature, and concentration profiles were explained and examined through tables and graphs. Temperature and concentration are increased as the injection ( S < 0 ) increases . However, they show decrement when the suction ( S > 0 ) increases . The novelty of this study focuses on the mathematical development of the flow problem with significant results and also investigating the impact of electric field on velocity of the fluid flow and shear stress. These results are applicable in manufacturing of stretchable materials.

Application of Caputo fractional approach to MHD Casson nanofluid with alumina nanoparticles of various shape factors on an inclined quadratic translated plate

The present study aims to examine the effect of convective heat transfer of nanofluid past an inclined plate. This paper scrutinizes heat transfer over an inclined surface of alumina nanofluids under the influence of radiation and magnetic fields with temperature-dependent thermophysical properties. The mathematical findings of velocity and temperature distributions are examined and visualized using non-dimensional flow parameters. The core of the research is to know the impact of using shape effects of alumina nanoparticles with a variety of base fluids like water, ethylene glycol, and engine oil. The outcomes concluded that the friction of the non-Newtonian viscous fluid decreased with increasing the inclination of the surface. The governing equations of the flow have been developed by using a few approximations such as Boussinesq's, and Roseland's. Using the dimensional analysis, the initial governing equations are simplified to dimensionless partial differential equations. A fractional model is developed using the Caputo fractional derivative. The solution of the proposed fractional partial differential equations is obtained in terms of special functions, Wright function, and Mittag-Leffler function by using the Laplace transformation method. Based on the interpretation, it is found that a reduction in velocity is observed with an increase in the angle of inclination i.e., γ = π/3 to γ = π/2. From the analysis, it is found that alumina/engine oil can carry higher temperatures than compared to other nanofluids and thus is a good option for heat transfer devices.

Numerical Simulation of MHD Radiative Casson Nanofluid Flow over a Nonlinearly Heated Stretching Sheet Embedded in Porous Medium

This study intends to assess the heat transmission of a steady two-dimensional MHD Casson nanofluid flow across a non-linearly stretching sheet concerning viscous dissipation, heat generation, thermal radiation, and chemical radiate parameters. Mathematically, the flow is outlined as PDE systems, converted to ODE systems by a well-posed transformation, which are afterwards solved numerically in Matlab employing the fourth-order precision program (Bvp4c). The comparison indicates adequate agreement, demonstrating the correctness of the numerical strategy. It is observed that in the existence of a chemical reaction, the temperature is elevated, while the concentration profile is markedly reduced, in contrast to a scenario where no chemical reaction is taking place. In consideration of viscosity, heat radiation, thermophoresis impact, and suction or injection parameter, the Nusselt number reveals a growing tendency. In contrast, it exhibits opposing behavior with regard to the other addressed factors. The findings of this study have applications in the engineering, biomedical and industrial sectors, including food processing, polymer making, glass and fiber production, material processing, and enhanced oil recovery.

Suction/Injection Influence on Electrical MHD Nano-Fluid on a Nonlinear Radiative Flow Over a Stretching Sheet

The current communication’s goal is to look at how a radiative electrical MHD Casson nanofluid moves through a stretched sheet while being affected by nonlinear thermal radiation and suction/injection. The controlling equations incorporate a temperature and concentration parameter that is modified viscosity/thermal conductivity dependent in order to enrich the blood flow. By using similarity transformations, the system of PDEs is converted to an ODE, which is then numerically solved using the well-known fourth-order Runge-Kutta integration strategy based on the shooting method. The impacts of operating parameters on velocity, temperature and concentration profiles were explained and examined through tables and graphs. Temperature and concentration are increased as the injection (S &lt; 0) increases. However, they show decrement when the suction (S &gt; 0) increases.

Unsteady MHD Casson Nanofluid Flow Past an Exponentially Accelerated Vertical Plate: An Analytical Strategy

Unsteady MHD Casson Nanofluid Flow Past an Exponentially Accelerated Vertical Plate: An Analytical Strategy

Variable thickness with Ohmic heating and viscous dissipation effect on MHD Casson-nanofluid flow through a porous media

Variable thickness with Ohmic heating and viscous dissipation effect on MHD Casson-nanofluid flow through a porous media

Activation of energy in MHD Casson nanofluid flow through a porous medium in the presence of convective boundary conditions and suction/injection

Casson fluids are used to understand the rheological characteristics of pigment-oil suspensions, polymeric gels, emulsions, heavy oil, etc. Hence in this article, numerical work is carried out to investigate a steady MHD flow of a Casson nanofluid with the Cattaneo-Christov model over a stretching sheet in the presence of a porous medium with heat generation, and suction/injection. The effects of activation energy and chemical reactions are also considered. The concept of MHD is significant because of its numerous applications, including power generators, cooling process, sensors, and magnetic drug targeting. The governing equations of the model are reduced to a system of nonlinear coupled ordinary differential equations by appropriate transformations and are solved numerically via the bvp5c MATLAB package. The effects of the pertinent parameters on the velocity, temperature, and fluid concentration fields along with the skin friction, heat, and mass transfer rates are discussed in detail through figures and tables. It is reported that the velocity field decreases with an escalation in the magnetic field, porosity, and suction. However, the heat transfer rate enhances due an enhancement in suction and the Biot number, whereas it declines with the increasing values of the Brownian motion, thermophoresis, heat generation and thermal relaxation parameters. Furthermore, activation energy increases the fluid concentration.

Analytical analysis of the double stratification on Casson nanofluid over an exponential stretching sheet

Nanofluids have shown tremendous potential in the heat intensification of several manufacturing industries and have been utilized extensively in energy technologies in recent years. The goal of this exploratory paper is to examine the impact of double stratification on steady two-dimensional MHD Casson nanofluid flow over an exponentially porous stretching sheet. Thermophoresis and Brownian impact of the nanofluid model is described. In addition, the influence of joule heating, viscous dissipation, and heat generation are considered. The governing partial differential equations are converted into nonlinear coupled ordinary differential equations using similarity transformation, and they are then resolved using the Homotopy analysis method. The established nonlinear expressions have been solved analytically using the homotopic concept. Graphs demonstrate the influence of non-dimensional limitations on fluid momentum, thermal, and concentration. The drag force coefficient factor, Nusselt number and Sherwood number for various controlled factors on the Casson nanofluid properties are examined and tabulated. Researchers interested in the thermal science of liquid drifts are drawn to the mutual interaction of double stratification in MHD drift regimes since it affects various thermal engineering viewpoints in daily life.

Three-dimensional MHD Casson Nanofluid Flow Over a Moving Surface in the Presence of Heat Generation and Convective Boundary Conditions

Three-dimensional MHD Casson Nanofluid Flow Over a Moving Surface in the Presence of Heat Generation and Convective Boundary Conditions

Investigating the Influence of Chemical Reaction on MHD-Casson Nanofluid Flow via a Porous Stretching Sheet with Suction/Injection

This study aims to investigate the influence of chemical reaction on the flow characteristics of a magnetohydrodynamic (MHD) Casson nanofluid over a porous stretching sheet with suction/injection. The nanofluid (NF) is comprised of a base fluid with suspended nanoparticles (NPs), and the Casson fluid (CF) model is employed to capture the non-Newtonian behavior. The governing partial differential equations (PDEs) for momentum, energy, and NP concentration are derived, incorporating the effects of magnetic field, viscous dissipation, chemical reaction, and porous medium. The resulting system of nonlinear ordinary differential equations (ODEs) is solved numerically using the Runge-Kutta-Fehlberg method together with the shooting process. The effects of various physical parameters, such as magnetic field strength, porous medium, CF parameters, NP volume fraction, suction/injection parameter, and chemical reaction parameter, on the flow characteristics are examined in detail. The results reveal that faster movement is linked to higher Grashof numbers and porous mediums, but weaker magnetic fields slow it down. The suction/injection affect velocity inversely. The Prandtl and Eckert numbers have opposite effects on temperature fields. The thermophoresis and Brownian motion parameters affect the opposite trends of the concentration and temperature distributions. The concentration reduces with chemical reaction parameters and the Lewis number. Heat transfer (HT) is enhanced for higher Brownian and thermophoresis. The findings of this study can have potential applications in various engineering fields, such as microfluidics, chemical processing, and thermal management systems, where precise control of fluid flow and heat transfer is essential.

Heat transfer analysis of MHD Casson nanofluid flow over a nonlinear stretching sheet in the presence of nonuniform heat source

This study examines how a chemical reaction and a nonuniform heat source effect the flow of an MHD Casson nanofluid over a nonlinear stretching sheet. By incorporating viscous dissipation, the energy equation is strengthened. Brownian diffusion, thermophoresis diffusion effects are taken place. By using the necessary similarity transformations, the governing equations for the current flow are converted into a nonlinear system. The RKF technique yields a numerical solution along with a shooting technique for the condensed system. Thereafter, to better understand the physical interpretation of flow and heat transfer, the flow-controlling parameters are shown graphically and in tabular form in the current work. Based on the present study’s numerical results, a fair connection is found between this analysis and previous studies. Some of the observations are velocity profile is decreased for the effects of magnetics and stretching parameter variations and Eckert number plays a great role in the increase of temperature profile.