Tangent Hyperbolic Fluid Research Articles

Dynamics of Non-Newtonian Tangent Hyperbolic Liquids Conveying Tiny Particles on Objects with Variable Thickness when Lorentz Force and Thermal Radiation are Significant

The flow via needle has prominent applications in the modern world such as nano-wires, microstructure electric gadgets, microsensors, surgical instruments and biological treatments. The present investigation focuses on boundary layer heat, flow, and mass transfer of MHD tangent hyperbolic fluid (conveying tiny particles) via a thin needle under the impacts of activation energy, non-constant thermal conductivity, heat source, and nonlinear thermal radiation. In the description of the Buongiorno model, the significant features of Brownian motion and thermophoresis have been included. Adopting appropriate transformations to the given problem specified by the set of partial differential equations yields the dimensionless form of ordinary differential equations After that, these obtained ODEs are solved numerically via MATLAB bvp4c. A comparative result with previous findings is conducted. Physical parameters’ impact on flow rate, heat, and concentration is exhibited and explained in depth. The main findings of this study are that flow patterns reduce as the magnetic parameter and the Weissenberg number grow. Higher values of Brownian motion, heat source/sink, nonlinear radiation, and thermophoretic parameter improve the thermal profile. Moreover, the rate of heat transfer for the variable property case is significantly improved. Concentration profiles reduce as the thermophoresis parameter and chemical reaction parameter grow but improve as the activation energy and Brownian motion parameter rise. The percentage increase in Sherwood number is 35.07 and 5.44 when the thermophoresis takes input in the range 0 ≤ Nt ≤ 0.2 and activation energy parameters 0 ≤ E ≤ 0.2. The Weissenberg number and power-law index parameters are all designed to boost the Sherwood number.

Thermodynamic analysis of a tangent hyperbolic hydromagnetic heat generating fluid in quadratic Boussinesq approximation

The current investigation is to examine the compound impact of electromagnetic induced force and internal heat source on a tangent hyperbolic fluid in quadratic Boussinesq approximation. The current hyperbolic tangent liquid flow and heat transport formulation model adequately predicts and characterizes the shear-stricken event. The nonlinear dimensionless heat transfer flow equations are solved completely using weighted residual solution procedures coupled with Galerkin approximation integration approach. The results in the table and graphs revealed that the magnetic field strength has a substantial impact on the fluid flow and heat propagation, as well as the internal heat source. Therefore, the entropy generation is optimized through an enhanced thermodynamic equilibrium and adequate control of heat generating terms and energy loss.

Exploration of the dynamics of hyperbolic tangent fluid through a tapered asymmetric porous channel

Abstract The present physical problem has a significant number of applications in intra-uterine fluid motion with tiny particles in a nonpregnant uterus, and this situation of fluid motion is very important in examining the embryo motion in a uterus. Due to these real-life applications, in the current investigation, a perturbation-oriented numerical investigation has been performed to describe the characteristics features of velocity, pressure rise, and trapping bolus through streamlines in a tapered channel under a porous medium. The present physical model results in the governing two-dimensional coupled nonlinear flow equations under low Reynolds number and long-wavelength approximations. A suitable equation for stream function is derived and a regular perturbation scheme is employed to produce the numerical solutions in terms of pressure rise, velocity, and streamlines for various values of physical parameters. The current investigation depicts that the enhancing Darcy parameter upsurged the pressure field, and the increasing power-law index suppressed the pressure field in the flow regime. The rincreasing channel width significantly diminished the velocity field at the central portion of the channel. The size of the trapping bolus suppressed for the enhancing values of Weissenberg number. In addition, the size of the trapping bolus increased for the magnifying values of wave amplitudes. Finally, current numerical solutions reasonably agree with the previously published results in the literature, and this fact confirms the accuracy of the present problem.

An axisymmetric flow analysis by means of tangent hyperbolic fluid with Cattaneo-Christov heat and mass flux model

In present analysis three dimensional steady, axisymmetric, incompressible, non-Newtonian tangent hyperbolic flow of nanofluid due to rotating disk is investigated. A rotating disc is a phenomena in which a disc rotates around an axis at a constant angular velocity and each point on the disc follows a circle's arc. The force necessary to move the disc to overcome frictional resistance is determined by the shear stress between the disc and the rotating fluid and the heat transfer is affected by the local flow field. The heat and mass transfer field is explored in the existence of chemical reaction and Cattaneo-Christov heat and mass flux model. By using similarities transformations, the supreme partial differential equations of the problem are turned into typical differential equations respectively. The determining differential equations are solved on MATLAB software by using bvp4c method that has been cracked through shooting technique. The deviation of velocity, temperature and mass profiles for different inputs of power-law index, Prandtl number, Brownian motion parameter, Schmidt number, thermophoretic parameter, heat and mass relaxation time parameters and chemical reaction parameter are displayed via graphs. The increment happens in radial velocity field whereas tangential and axial velocity fields reduces due to power index parameter n. The results show that for Cattaneo-Christov model, the temperature and concentration profiles exhibit reducing behaviour than that of Fourier's classical model. The concentration within fluid declined due to chemical reaction.

Unsteady nonisothermal tangent hyperbolic fluid flow in a stenosed blood vessel with pulsatile pressure gradient and body acceleration

Unsteady nonisothermal tangent hyperbolic fluid flow in a stenosed blood vessel with pulsatile pressure gradient and body acceleration

Unsteady Flow of an MHD Tangent Hyperbolic Nanofluid Over a Stretching Sheet

Abstract The recent article addresses the unsteady flow of MHD incompressible tangent hyperbolic fluid with Nanofluid particles in the direction of a stretching surface. Nano-fluid is related to thermo-phoretic and Brownian movement. With proper help through the transformation procedure, the set of non-linear (PDEs) is re-framed into (ODEs). The initiate expressions of momentum, temperature field, and nano-particle concentration are composed into groups of nonlinear equations. That consequential terminology is computed shooting system. The impact of fundamental parameters on the flow field, thermal circulation, and meditation is described. Moreover, the flow field behavior due to the Wall friction, local Nusselt, and Sherwood numbers are examined. This study is significant as this transformation determined the shooting technique’s numerical result and ensured the physical parameters’ behavior graphically. The results show that the velocity field diminishes by escalating the Weissenberg (We) figure and power-law index (n), while thermal and concentration fields remain to detect elevating at similar parameters. Furthermore, the computed result is compared with existing literature and gets accuracy.

Impact of velocity slip and heat source on tangent hyperbolic nanofluid flow over an electromagnetic surface with Soret effect and variable suction/injection

The applicability and significance of tangent hyperbolic fluid in several engineering fields are encouraging, and the examination of the Soret effect phenomena on non-Newtonian fluids with thermal transport mechanisms is becoming more widely accepted. The effect of velocity slip on electromagnetohydrodynamic (EMHD) of tangent hyperbolic flow through a Riga plate with a heat source, suction/injection, and reactive energy, on the other hand, is unknown. The current research configuration model investigates the impact of Soret, suction/injection, activation energy, and heat source on the EMHD flow of hyperbolic tangent nanofluid via a stretched sheet. The governing equations of PDEs are transmuted into nonlinear ODEs with adequate similarity variables. The numerical output of the resulting Ordinary differential equations is performed using the MATLAB bvp4c built-in. The implication of rising attributes on temperature, velocity, concentration shapes, drag force coefficient, Sherwood number, and Nusselt number is graphically and numerically depicted. As a result, the derived findings are validated by comparing them to previous output. Remarkably, the increase in temperature of the hyperbolic tangential nanofluid flow is caused by a rise in slip velocity and Weissenberg numbers, which has a reverse effect on Suction. The EMHD parameter, on the other hand, enhances the velocity distribution, which impacts the slip velocity parameter.

Scrutinization of unsteady non-Newtonian fluid flow considering buoyancy effect and thermal radiation: Tangent hyperbolic model

The contemporary study is performed to evaluate the stagnation point flow and thermal features of tangent hyperbolic fluid over a vertical surface by implementing suitable rheological model. The considered fluid is presumed to be incompressible, viscous and non-Newtonian in nature. The physical situation is modeled by employing tangent hyperbolic fluid flow model. In addition to this the role of Soret and Dufour properties on non-Newtonian fluids are explored in this research work. The solutions are obtained via numerical computation. The influence of natural convection on non-Newtonian fluid flow is illustrated. Impact of different flow controlling constraints on flow and thermal distribution are scrutinized. The friction factor and heat transfer at the surface are analyzed for distinct parameters of physical interest. Outcomes for the Nusselt number and friction coefficient are offered using graphical illustration. This examination reveals the impact of buoyant force on non-Newtonian fluid flow. It is established that coefficient of skin friction enhances with buoyancy ratio parameter in assisting region and declines in opposing region. It is professed that the Nusselt number intensified with Dufour effect.

Squeezed MHD tangent hyperbolic fluid flow across a sensor surface

AbstractIn the present numerical study, the combined effect of temperature‐dependent thermal conductivity, linear thermal radiation, and magnetic effect on shear‐thinning tangent hyperbolic fluid past a sensor surface has been studied. After converting the modelled partial differential equations into ordinary differential equations by using similarity transformation, the system of equations is tackled with the aid of the shooting method. The influence of important parameters on the fluid motion and energy distribution is displayed graphically and analyzed in detail. The presented simulations depict that a significant rise in fluid velocity is noticed for an enhancement in the magnetic parameter while an opposite trend is observed for the temperature distribution. Moreover, the skin friction coefficient decreases as the squeezed flow index is increased.

Non-Fourier modeling and numerical simulations on heat and transfer in tangent hyperbolic nanofluid subjected to chemical reactions

Two-phase chemical reactions (homogeneous-heterogeneous) in tangent hyperbolic fluid with nanoparticles subjected to heat transfer are modeled using mathematical laws and models. The solutions of governing models are derived by the finite element method (FEM). The solutions are checked to be grid-independent and convergent solutions are obtained which are further used for simulations of effects of various parameters. Shear-thinning and shear-thickening behaviors are predicted from the FEM solutions for the various values of the power-law index and other parameters. The tangent hyperbolic rheological behavior is determined through variation of Wessienberg number. The diverse behavior of fluid motion for the values of the Wessienberg number is observed. Electric current experiences resistance by the particles of the fluid. Hence, more heat is dissipated by the Ohmic mechanism. It is also noted that hybrid nanofluid dissipates more heat than that by mono nanofluid. The Lorentz force induced by the motion of pure and nanofluid is less than that induced by the motion of fluid with hybrid nanoparticles. Thermal relaxation characteristics reinforces the fluid in maintaining its thermal equilibrium and therefore temperature field for both types of fluids has to show a decreasing behavior for an increase in thermal relaxation parameter. The increasing behavior of homogeneous chemical reaction strength on concentration profile is noted whilest the oppositein concentration profile trend is observed for heterogeneous chemical reaction strength.

Impact of electroosmosis and joule heating effects on peristaltic transport with thermal radiation of hyperbolic tangent fluid through a porous media in an endoscope

The current study explores the impact of electro-osmotic flow, radiation, Joule heating through porous medium on the peristaltic motion of tangent hyperbolic fluid in an endoscope with the assumptions of low Reynolds number and long wavelength. Between two coaxial tubes, a non-Newtonian hyperbolic tangent fluid is considered in cylindrical form. The Helmholtz–Smoluchowski model is used to describe the electroosmosis processes. The Homotopy Perturbation technique (HPM) is imposed to deal the equations of nonlinear partial differential equations. The impact of various physical parameters on velocity, temperature, heat generation coefficient, and coefficient of skin friction were graphically depicted. The significant outcome of the present study is that the impact of the electro-osmotic parameter in the first half diminishes and then enhances the velocity profile for the positive value of electroosmosis parameter. Joule heating enhances the temperature profile whereas Hartmann number and thermal radiation diminish the rate of heat transfer. And also, Darcy number enhances the skin friction coefficient. The present study can be applicable in the bio microfluidics to regulate fluid flow through microchannels and also examining the cancer tumour elimination and artery blockage treatment in biomedical.

Lie Group Analysis of Double Diffusive MHD Tangent Hyperbolic Fluid Flow over a Stretching Sheet

In this study, we have used Lie group analysis procedure to propose a novel model for transforming the governing equations of double diffusive MHD hyperbolic tangent fluid flow model into a system of nonlinear ordinary differential equations (ODEs). The solution of these equations is then investigated numerically by employing Shooting method. We also reported and presented our results graphically illustrating the results and analysis of physical parameters on concentration, velocity, and temperature profiles and on other physical quantities present in the flow model. The results show that fluid temperature increases with rise in the modified Dufour and velocity slip parameters whereas opposite behavior is observed for thermal slip parameter. Moreover, the Nusselt number declines with enhanced values of modified Dufour parameter whereas its opposite effect has been observed for Dufour-solutal Lewis number and Prandtl number.

On behavioral response of ciliated cervical canal on the development of electroosmotic forces in spermatic fluid

The goal of this research is to conduct a theoretical investigation about the effect of the electroosmotic forces on the swimming of sperms throughout the cervical canal. To imitate male semen with self-propulsive spermatozoa, a hyperbolic tangent fluid is used as the base liquid. Swimming sperms move inside a ciliated cervical canal and peristalsis occurs due to the ciliated walls. The perturbation method is used to solve the controlling partial differential set of equations analytically. Due to selfpropulsion of swimmers and long wavelength assumption, a creeping flow protocol is used throughout the stream. The stream pattern, velocity distribution, and pressure gradient (above and below the swimming sheet) solutions are produced and displayed with the relevant parameters. The outcomes of this manuscript show that the rheological parameters of hyperbolic tangent fluid are more appropriate to simulate and discuss the motility of cervical fluid. Moreover, the motility of mucus velocity is more applicable for small values of power law index n at the upper swimming sheet of propulsive spermatozoa. In addition, the mucus velocity increases in both region (upper and lower region of swimming sheet) with an increase of the electroosmotic parameter me and Helmholtz-Smoluchowski velocity UHS. The present analysis provides a mathematical assessment to the swimmers’ interaction through the ciliated genital tract where the embryo is affected by the interaction of ciliary activity.

EFFECT OF HEAT SOURCE ON STAGNATION-POINT MHD TANGENT HYPERBOLIC FLUID FLOW ON A STRETCHED SHEET IN A POROUS MEDIUM

EFFECT OF HEAT SOURCE ON STAGNATION-POINT MHD TANGENT HYPERBOLIC FLUID FLOW ON A STRETCHED SHEET IN A POROUS MEDIUM

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.

On Thermal Energy Transport Complications in Chemically Reactive Liquidized Flow Fields Manifested with Thermal Slip Arrangements

Heat transfer systems for chemical processes must be designed to be as efficient as possible. As heat transfer is such an energy-intensive stage in many chemical processes, failing to focus on efficiency can push up costs unnecessarily. Many problems involving heat transfer in the presence of a chemically reactive species in the domain of the physical sciences are still unsolved because of their complex mathematical formulations. The same is the case for heat transfer in chemically reactive magnetized Tangent hyperbolic liquids equipped above the permeable domain. Therefore, in this work, a classical remedy for such types of problems is offered by performing Lie symmetry analysis. In particular, non-Newtonian Tangent hyperbolic fluid is considered in three different physical frames, namely, (i) chemically reactive and non-reactive fluids, (ii) magnetized and non-magnetized fluids, and (iii) porous and non-porous media. Heat generation, heat absorption, velocity, and temperature slips are further considered to strengthen the problem statement. A mathematical model is constructed for the flow regime, and by using Lie symmetry analysis, an invariant group of transformations is constructed. The order of flow equations is dropped down by symmetry transformations and later solved by a shooting algorithm. Interesting physical quantities on porous surfaces are critically debated. It is believed that the problem analysis carried out in this work will help researchers to extend such ideas to other unsolved problems in the field of heat-transfer fluid science.

Entropy analysis in ciliary transport of radiated hybrid nanofluid in presence of electromagnetohydrodynamics and activation energy

The entropy of hybrid nanofluids flow driven by cilia beating is examined theoretically in this study. To control the cilia induced transport, electroosmosis and magnetohydrodynamics are introduced in the model. Energy and concentration conservations principles are utilized to examine the heat transfer analysis and diffusion. Hybrid nanofluids are considered as a blood based nanofluids with dispersion of hybrid (TiO2 and Ag) nanoparticles to see the applications in drug delivery system. Blood is modeled as a hyperbolic tangent fluid model. The impacts of the Arrhenius activation energy input and Ohmic heating on the flow analysis are also explored. The solution of the problem is computed by analytic and numerical approaches under the low zeta potential and the low Reynolds number using a perturbation technique and a shooting method. It is noted that the electric double layer and Hartmann number play a significant role in cooling and diffusion enhancement processes. Moreover, it is revealed that high electric potential can reduce the entropy during the radiated hybrid nanofluids flow in microchannel. Provision of activation energy support the mass diffusion and regulate thermal indulges. The findings of present model could be applicable in controlling the blood flow and drug delivery systems.

Significance of chemical reaction with activation energy for Riga wedge flow of tangent hyperbolic nanofluid in existence of heat source

This manuscript uncovers the heat and mass transfer of an unsteady tangent hyperbolic nanofluid flow across an extensible Riga wedge under the effects of stagnation point, heat source, and activation energy. The flow computations with modified Hartmann numbers are embedded in this investigation particularly in the unsteady tangent hyperbolic liquid stream scenario. The focus pertains to augment heat conduction in the bulk liquid as heat and mass transport media. The implications of controlling parameters on non-dimensional speed, temperature, as well as concentration profiles are visually portrayed. The governing partial differential equations are modified into non-dimensional forms by reducing the number of independent factors, which are then pursued numerically utilizing the Runge-Kutta method with the shooting tool. The velocity of Newtonian fluid improves as the magnitude of wedge angle parameter βw rises, although it is marginally lower than that of tangent hyperbolic fluid, the temperature of Newtonian fluid intensifies substantially faster than that of tangent hyperbolic fluid for higher values of βw. The skin friction factor increases with alterations to the Hartmann parameter, Weissenberg factor, wedge angle parameter as well as suction parameter. The percentage increase in skin friction factor is 13.3 and 21.93 when modified Hartmann number takes input in the range 0 ≤ Mh ≤ 0.2 and unsteady parameter 0.1 ≤ A ≤ 0.5. The Schmidt number, chemical change, and wedge angle parameters are all designed to boost the Sherwood number.

Entropy generation analysis of tangent hyperbolic fluid in quadratic Boussinesq approximation using spectral quasi-linearization method

Entropy generation analysis of tangent hyperbolic fluid in quadratic Boussinesq approximation using spectral quasi-linearization method

Thin Film Flow of Tangent Hyperbolic Fluid with Nonlinear Mixed Convection Flow and Entropy Generation

This paper examined the three-dimensional steady thin film flow of tangent hyperbolic fluid with nonlinear mixed convection flow and entropy generation past a stretching surface under the influence of magnetic field. For the flow problem, the Cattaneo–Christov heat and mass diffusion model was employed to examine heat and mass transfer characteristics and impacts of the normally directed magnetic field. To transform nonlinear PDEs into ODEs, the variable transformation technique was used. The bvp4c algorithm was implemented to solve these ODEs. The behavior of every leading parameter on the velocities, temperature, concentration profile, entropy generation, and Bejan number was reported with tabular and figurative form. The results show that as the values of Br increase, the entropy generation enhances, but the Bejan number decreases. Moreover, as the values of B increase, the opposite characteristics are observed in entropy generation and Bejan number graphs. Furthermore, the skin friction coefficient number, local Nusselt number, and Sherwood number are graphically discussed for the active involved parameters. The best agreement is recorded when we compare this paper with the previous literature for various values of M .