Presence Of Viscous Dissipation Research Articles

STAGNATION POINT FLOW OF A NANOFLUID OVER A STRETCHING SHEET IN THE PRESENCE OF A MELTING POINT AND A CHEMICAL REACTION

The current investigation examined the influence of the melting point on the flow of nanofluid at the stagnation point over a stretching sheet in the presence of viscous dissipation and chemical reaction. The suggested model's governing non-linear partial differential equations are transformed into ordinary differential equations using similarity transformations. The numerical solution was obtained from the MATLAB bvp4c. The characteristics of the parameters under consideration are explored and provided. In this model, as the melting parameter is increased, the profiles of solute concentration, velocity, and temperature decline. The temperature profile increases on increasing the Eckert number. The solute concentration decreased for higher values of the chemical reaction parameter. The statistical results of skin friction and local Nusselt number were compared with previous literature. The results of this study provide applications in casting, welding, magma solidification, liquid polymer extrusion, the production of semiconductor materials, the thawing of frozen soils, and the melting of permafrost.

Frictional heating effects on entropy generation with nonlinear Rosseland radiation: Implementation of generalized differential quadrature method

This article examines heat transfer and entropy generation analysis for boundary layer flow, considering the impacts of frictional heating and nonlinear Rosseland thermal radiation. The equations governing momentum and energy in a two-dimensional boundary layer are transformed into self-similar equations via similarity operations. The generalized differential quadrature method (GDQM) is then used to numerically solve the no-dimensional governing equations. Entropy generation and Bejan numbers are computed using the acquired solutions and are then plotted against the emerging flow parameters. An in-depth analysis of temperature distribution, entropy generation, velocity profile, and Bejan number. A high level of agreement was seen when the results from the literature were replicated using GDQM to verify the accuracy of the numerical code. It is found that a self-similar solution exists in the presence of viscous dissipation. The primary contributor to entropy generation at the interface is fluid friction, in contrast to heat transfer. Further, the findings indicate that entropy generation positively correlates with the Prandtl number, heating parameter, radiation parameter, and Eckert number. Notably, the results show that a decrease in operational temperature causes a decrease in entropy production.

Linear stability analysis of MHD mixed convection flow of a radiating nanofluid in porous channel in presence of viscous dissipation

PurposeThis paper aims to investigate the hydrodynamic instability properties of a mixed convection flow of nanofluid in a porous channel.Design/methodology/approachThe treated single-phase nanofluid is a suspension consisting of water as the working fluid and alumina as a nanoparticle. The anisotropy of the porous medium and the effects of the inclination of the magnetic field are highlighted. The effects of viscous dissipation and thermal radiation are incorporated into the energy equation. The eigenvalue equation system resulting from the stability analysis is processed numerically by the spectral collocation method.FindingsAnalysis of the results in terms of growth rate reveals that increasing the volume fraction of nanoparticles increases the critical Reynolds number. Parameters such as the mechanical anisotropy parameter and Richardson number have a destabilizing effect. The Hartmann number, permeability parameter, magnetic field inclination, Prandtl number, wave number and thermal radiation parameter showed a stabilizing effect. The Eckert number has a negligible effect on the growth rate of the disturbances.Originality/valueLinear stability analysis of Magnetohydrodynamics (MHD) mixed convection flow of a radiating nanofluid in porous channel in presence of viscous dissipation.

The influence of cooling medium and cooling channel on heat transfer of textured seal in presence of viscous dissipation

When operating at high speed, the mechanical seal produces a large amount of frictional heat on the seal face. If the heat is not dissipated in time, it could lead to the thermal failure of the seal face. In the field of tribology research, the technology of textured surface is a method to enhance the heat dissipation rate. Numerical analysis is carried out based on the SST k-ω turbulence model and the energy equation with viscous dissipation term, and the results are validated by the experimental data published in the reference. In a wide range of rotational speeds, cooling medium with varied Pr numbers is employed to confirm the performance of textured side-wall in heat transfer enhancement. The shape of the seal chamber is also changed to provide guidance for the design of the cooling channel. The results show that a larger Pr number increases the heat transfer enhancement of the textures; it is advisable to utilize a cooling channel that gradually decreases in size; and the flushing should not be perpendicular to the stator; additionally, it is important to ensure that the cooling channel is not too narrow. By means of appropriate design, the maximum temperature of seal face can be reduced by over 40 °C (22.2 %) at 20,000 rpm.

Viscous dissipation effect on amplitude and oscillating frequency of heat transfer and electromagnetic waves of magnetic driven fluid flow along the horizontal circular cylinder

The significant importance of present research is to remove the extreme temperature along the magnetic driven horizontal circular cylinder. The induced electromagnetic field is applied around the surface of cylinder. The main novelty of current research is to control thermal and magnetic boundary layer in the presence of viscous dissipation and induced electromagnetic field. The dimensional mathematical form is developed with defined boundary conditions. The dimensional equations are transformed into dimensionless equations to generate physical factors. The primitive form is used to reduce dimensionless equations into convenient form for smooth algorithm. The finite difference method with Gaussian elimination technique is applied for numerical results in FORTRAN language tool. The velocity, temperature and electromagnetic field are sketched graphically with asymptotic sequence. The oscillatory shear stress, oscillating heat rate and periodical current density is plotted graphically and numerically. It is found that fluid velocity improves significantly as buoyancy force increases around each position. It is noticed that the increasing oscillations in heat transfer are sketched for maximum choice of Prandtl number. It is found that the maximum oscillations in current density are obtained for each Eckert parameter. It is noticed that the significant distribution in temperature profile is obtained in the presence of viscous dissipation and magnetic field.

Stability analysis of nonlinear convective boundary layer flow on a shrinking surface in the presence of viscous dissipation

This study investigates analytically the stability analysis of a nonlinear convective boundary layer (BL) flow of the nanofluids GO-EG and GO-W on a shrinking surface in the presence of a magnetic field and viscous dissipation. We provide a second-order nonlinear ordinary differential equation (NODE) for temperature distribution (TD) and a third-order NODE for velocity profile (VP) coupling based on the thermophysical characteristics of the base fluid and nanofluid as well as similarity transformations (STs) in the fundamental governing equations of momentum and energy. The analytical method HAM is used to answer the equations that have been gathered. In many different industries, such as manufacturing, automotive, microelectronics, and defense, cooling of various types of equipment and devices has very important challenges. To fulfill the demands of the engineering and industrial industries, it is hoped that this issue would significantly improve the heat transformation ratio.

Effect of radiation and viscous dissipation using the Galerkin method over a vertical porous plate with variation in temperature

AbstractIn the presence of viscous dissipation and radiation effects, a numerical analysis is performed for an unsteady‐free convective, radiative, chemically reactive, radiation absorption, viscous, incompressible, and electrically conducting fluid passing through an exponentially accelerating vertical porous plate. Numerical methods are used to solve the collection of nondimensional governing equations and their boundary conditions. Graphs are used to study the effects of different physical characteristics on flow quantities. Tables are used to study the differences in skin friction, the Sherwood number, and the Nusselt number for the physical interest. The analysis and explanation of the fluctuation in radiation and flow parameters on velocity and temperature gradient profiles through graphs using the Galerkin technique is the novelty of this work. For the magnetic, Prandtl, heat sink, radiation, Schmidt, and chemical reaction parameters, skin friction is significantly higher; however, for the Grashof, modified Grashof, permeability, radiation absorption, Dufour, and Soret numbers, skin friction has the opposite tendency.

Unsteady MHD Free Convection Flow of Fluid in Micro Channel in the Presence of Viscous Dissipation Between Vertical Parallel Two Walls

Convection is a process by which heat is transferred by movement of a heated water. The phenomenon where heat transfer process is driven by natural fluid motion due to temperature and density gradients is called free convection. The effect of slip velocity on thermal behaviours of MHD free convection flow over a vertical parallel two walls is the focus of this research. The mathematical equations which described the phenomenom includes momentum, magnetic field and energy equations. Condition for the existence and uniqueness of solution of the model equations were established using the approach of Lipschitz continuity. The model equations in dimensionless form were solved using Olayiwola’s generalized polynomial approximation method (OGPAM). The results obtained which contains the dimensionless parameters were presented graphically and discussed. It was observed that increase in Reynolds number and Knudsen number both enhanced the velocity distribution at the two walls. Also, magnetic field and temperature field were enhanced by magnetic prandtl number and Eckert number respectively.

Viscous dissipation effects on hybrid nanofluid flow over a non-linearly shrinking sheet with power-law velocity

This research intends to investigate the effect of the nonlinearity of the surface velocity on the hybrid nanofluid flow behavior. Here, the total composition of Al2O3 (alumina) as well as Cu (copper) volume fractions, are implemented in a one-to-one ratio and then dispersed in water. The similarity equations are gained employing a similarity transformation, which is programmed in MATLAB software. The dual solutions are attainable for certain ranges with respect to the mass flux parameter S and the power-law index n. Also, the turning point occurs in the region of S<0 and n>1. Besides, the rise of n led to reduce the skin friction as well as the heat transfer coefficients with 39.44 % and 11.71 % reduction, respectively. Moreover, 14.39 % reduction of the heat transfer rate is observed in the presence of viscous dissipation (Eckert number). It is found that only the first solution is stable as time progresses. Generally, this study gives scientists and engineers a starting point for predicting how to control the parameters to achieve the best results for relevant practical applications.

Analysis of slip condition in MHD nanofluid flow over stretching sheet in presence of viscous dissipation: Keller box simulations

In present paper the mathematical study of Slip conditions on electrically conducting nanofluid over a vertically stretching sheet is presented with effects of viscous dissipation, thermal radiation and Soret and Dufor. The state of flow has been explained mathematically with help of partial differential equations. Model equations are made convenient for calculation by suitable transformations. With the help of Kellerbox technique unknown functions are approximated in flow situation. The influence of medium porosity, magnetic field strength, thermal radiation, Soret and Dufour effects, Buoyancy forces, viscous dissipation wall slip parameter, and heat source are investigated in detail. Effects of emerging parameters on velocity, concentration, temperature and profiles are investigated. In relation to the parameters involved, we can observe the rates of momentum, heat, and mass transfer near the stretching surface. It can be concluded from the study that velocity slip parameter accelerates with fluid motion, temperature of nanoparticles is enhanced due to rise in Eckert number and Biot number, while the Soret effect enhances the nanoparticles concentration close to the stretching sheet. Also, under common assumptions, the analytical approximations for the solution of the current model that were produced by using the Keller box approach were shown to be in very excellent agreement with certain early publications.

ENHANCEMENT OF HEAT TRANSFER WITH VISCOUS DISSIPATION IMPACT ON FLUID FLOW PAST A MOVING WEDGE IN A PERMEABLE DOMAIN

The problem of modelling and analysis of fluid flow in the presence of viscous dissipation over a wedge in motion is analytically and numerically addressed. As a result of the much-valued significance of this study in the aspects of technological and industrial revolution regarding aerospace, oil recovery systems, defence machineries, extrusion, moulding and polymerisation of sheets, building of war arsenal, glass whirling. However, the frontiers of several physical problems are modelled by both partial and ordinary differential equations (PDEs and ODEs). Therefore, the mathematical modelling of our present problem is not an exemption. Hence, the PDEs which models our problem under consideration becomes changed into coupled ODEs in nonlinear arrangement through the deployment of adequate and standard conversion procedure by using dimensionless variables. In line with the approach of the solution methodology, the boundary conditions governing the flow models are also transmuted. Afterwards, the well-established regular perturbation skill aided in the resolution of the problem. The solutions realised are simulated through the adoption of a software package in the Mathematica V.10 scheme for the numerical solutions. Hence, our results are embodied in form of graphs with legends. It is worthy to note that the effect of increasing rate of flow remains a function of rising values of the porosity and Grashof thermal parameters whereas the opposite behaviour of the flow field is a consequence of improving values of suction parameter. Also, the enhancement of the suction parameter and Eckert number values breeds intensification in the temperature. The Nusselt number intensifies with the rising values of the Prandtl parameter but regresses on the account of radiation factor development.

Oscillatory and Periodical Behavior of Heat Transfer and Magnetic Flux along Magnetic-Driven Cylinder with Viscous Dissipation and Joule Heating Effects

Several primary mechanisms are less utilized in engineering and recent technologies due to unsustainable heating. The impact of viscous dissipation and Joule heating is very important to examine current density and heat rate across a magnetized cylinder. The key objective of this examination was to insulate excessive heat around the cylinder. The present effort investigated the impact of viscous dissipations, Joule heating, and magnetohydrodynamics (MHD) on the transitory motion of convective-heat transport and magnetic flux features of dissipative flows throughout a magnetized and warmed cylinder at suitable places. The suggested turbulent dynamical structure of mathematics is offered for an associated method of partial differentiation equations impacted by boundary values. The complex equations are translated via non-dimensional shapes by using relevant non-dimensional numbers. The non-dimensional representation has been improved to make it easier to conduct uniform computational calculations. The computational answers for these linked dimensionalized formulations have been achieved using the Prandtl coefficient Pr, Joule heating parameter ζ, Eckert number Ec, the magneto-force number ξ, the buoyancy parameter λ, and multiple additional predefined factors. The important contribution of this work is based on non-fluctuating solutions that are utilized to examine the oscillating behavior of shearing stress, rate of fluctuating heat transport, and rate of fluctuating magnetic flux in the presence of viscous dissipation and Joule heating at prominent angles. It is shown that the velocity of a fluid increases as the buoyancy parameter increases. The maximum frequency of heat transmission is illustrated for each Eckert variable.

Analysis of Williamson Fluid of Hydromagnetic Nanofluid Flow in the Presence of Viscous Dissipation over a Stretching Surface Under Radiative Heat Flux

Analysis of Williamson Fluid of Hydromagnetic Nanofluid Flow in the Presence of Viscous Dissipation over a Stretching Surface Under Radiative Heat Flux

Magnetohydrodynamic double-diffusive peristaltic flow of radiating fourth-grade nanofluid through a porous medium with viscous dissipation and heat generation/absorption

This article focuses on determining how to double diffusion affects the non-Newtonian fourth-grade nanofluids peristaltic motion within a symmetrical vertical elastic channel supported by a suitable porous medium as well as, concentrating on the impact of a few significant actual peculiarities on the development of the peristaltic liquid, such as rotation, initial pressure, non-linear thermal radiation, heat generation/absorption in the presence of viscous dissipation and joule heating with noting that the fluid inside the channel is subject to an externally induced magnetic field, giving it electromagnetic properties. Moreover, the constraints of the long-wavelength approximation and neglecting the wave number along with the low Reynolds number have been used to transform the nonlinear partial differential equations in two dimensions into a system of nonlinear ordinary differential equations in one dimension, which serve as the basic governing equations for fluid motion. The suitable numerical method for solving the new system of ordinary differential equations is the Runge–Kutta fourth-order numerical method with the shooting technique using the code MATLAB program. Using this code, a 2D and 3D graphical analysis was done to show how each physical parameter affected the distributions of axial velocity, temperature, nanoparticle volume fraction, solutal concentration, pressure gradients, induced magnetic field, magnetic forces, and finally the trapping phenomenon. Under the influence of rotation Omega, heat Grashof number {Gr}_{t}, solutal Grashof number {Gr}_{t}, and initial stress {P}^{*}, the axial velocity distribution u changes from increasing to decreasing, according to some of the study’s findings. On the other hand, increasing values of nonlinear thermal radiation R and temperature ratio {theta }_{w} have a negative impact on the temperature distribution theta but a positive impact on the distributions of nanoparticle volume fraction Phi and solutal concentration gamma. Darcy number Da and mean fluid rate F also had a positive effect on the distribution of pressure gradients, making it an increasing function.

Irreversibility analysis for the modified viscous fluid in the presence of viscous dissipation

Irreversibility analysis for the modified viscous fluid in the presence of viscous dissipation

Eminence of ferrite particle shapes in stratified nanofluids concerning the melting phenomenon: Lie group and spectral analysis

The current study is being done to determine how the shape factors of NiZnFe2O4 (nickel zinc ferrite) nanosolid particles affect the free convective flow of engine oil (C8H18) based stratified nanofluid over a melting stretchable surface, which play a part in establishing flow patterns and thermal features. NiZn ferrite nanoparticles of needle, platelet, and brick shapes are used to assess the impact of shape factors in the presence of melting phenomena, heat generation/absorption, and viscous dissipation. Optimal solutions are obtained by the spectral local linearization method via Lie group analysis, with an emphasis on residual errors. According to the evaluation, this type of nanofluid is found to have a lower friction factor, entropy, and Bejan number when compared to conventional fluids. In the presence of viscous dissipation, brick-shaped particles are found to have a higher heat transport rate, whereas needle-shaped particles minimize entropy by 58.66%. Suspended ferrite nanoparticles with a melting effect reduce the entropy up to 62.4% and stratified nanofluid with a brick shape has a higher heat transfer rate as compared to ordinary nanofluid. It is also observed that heat absorption produces less heat transport compared to heat generation. This research is found to be useful in many sectors, such as tumor treatments, electromagnetic interfaces (EMI), microwave applications, bone plate surgeries, and aerodynamic extrusion processes.

MHD Couette flow and heat transfer in a rotating channel in presence of viscous dissipation and heat source/sink

The fully developed steady flow of an electrically conducting as well as heat-generating/absorbing fluid, in a horizontal rotating channel in the presence of viscous dissipation, has been studied. Further, the flow is subjected to shearing impact due to the motion of the upper plate. The effects of various parameters characterizing the translating and rotating flow and heat transfer phenomena, based on analytical solutions, are depicted with the help of graphs and tables. The solution of the boundary value problem has been carried out analytically and computations thereof with MATLAB code. The outcomes of the present study find applications in the motion of the rotor blade and turbine. The important findings are: the moderate speed of rotation gives rise to inconsistency in heat transfer, a transition state between low and moderately high speed, hence speed of the channel is to be taken care of for smooth and consistent heat transfer; the effect of entire values of Eckert number persists on the temperature distribution; the higher magnetic field intensity gives rise to convex type of temperature field (rise in temperature) resulting thicker thermal boundary layer; whereas the reverse is the case in the presence of sink. Most importantly, the inconsistency of heat transfer at the bounding surface is due to the interaction of electromagnetic force with the rotation of the channel.

Slip and non-slip flows of MHD nanofluid through microchannel to cool discrete heat sources in presence and absence of viscous dissipation

This paper investigates heat transfer (HTR) and fluid flows of a magnetohydrodynamic (MHD) nanofluid (NFD) in a two-parallel-plate microchannel with three isothermal heat sources and under temperature jump and slip (0 < B* < 0.1) and non-slip regimes. The flow is subjected to a magnetic field (0 < Ha < 60) in three zones in the presence and absence of viscous dissipation (VDS) (0 < Br < 0.1). Using SIMPLE algorithm, it is found that a rise in the Re (0 < Re < 100) increases HTR under both slip and non-slip conditions. VDS decreases HTR from the isothermal heat source to the NFD flow. An increase in the slip coefficient raises the Nu, particularly at higher Ha. A rise in the Ha leads to greater HTR under the slip boundary condition. An increase in the slip coefficient raises the Nu by 52.52% in the presence of VDS and by 1.16% in the absence of VDS.

Impact of magnetic dipole on unsteady ferromagnetic Casson nanofluid flow over a static/moving wedge in the presence of viscous dissipation

This article mainly focused on magnetic dipole effects on unsteady two-dimensional ferromagnetic Casson nanofluid Falkner–Skan flow along a static/moving wedge under the effects of viscous dissipation. A nanofluid features i.e. Brownian motion and thermophoresis are also observed for static (λ = 0) and moving wedge ( and ). A class of appropriate similarity functions is utilized to convert time-dependent nonlinear partial differential equations (PDEs) into a set of ordinary differential equations (ODEs) and then computed numerically by applying two distinct techniques Runge–Kutta–Fehlberg (RKF) in Maple as well as bvp4c in Matlab. For limited cases, we also provided a comparison with already published work and found in good agreement. Impact of various controlling parameters active in the velocity, temperature, and concentration are observed and presented extensively. In addition, for engineering aspects the numerical computations and graphical presentations for Nusselt and Sherwood numbers (the wall heat and mass fluxes) are also performed for various wedge movements. All the three profiles ( and ) vary for a static (λ = 0) and moving wedge ( and ). Velocity and thermal profiles decelerates for rising ferromagnetic interaction and unsteady parameter. Furthermore, it was noticed that fluid velocity gets smaller for a static wedge.

Impact of viscous dissipation and entropy generation on cold liquid via channel with porous medium by analytical analysis

In the current investigation, it is examined numerically entropy generation (EG) on inherent irreversibility motion of couple stress cold liquid with porous medium via Horizontal channel in presence of viscous dissipation. Present work was studied heat generation on couple stress liquid with porous channel. This work considerable importance in many industrial applications like “Control Mechanism in Material Manufacturing”, “Manufactures of Electronic Chips”, “Crystal Formation”, “Scientific Treatment Problems of Irrigation”, “Soil Erosion and tile drainage” are the present focus of development of channel motion. The formulated physical liquid equations are subsequently calculated by shooting technique with R-K-F (“Runge-Kutta Fehlberg”) scheme. The velocity, temperature as predicted via graphically. we found the velocity dwindle, temperature high production by an escalating statistical value of K (“Couple Stress Parameter”), Ec (“Eckert number”) and Q (“Heat Generation parameter”) respectively. Gradient constraint in addition to improve by an enhancement into Bejan number for various values of “pressure gradient parameter”.