Dissipative Flow Research Articles

Impaired Vestibulo-Ocular Reflex on Video Head Impulse Test in Superior Canal Dehiscence: "Spontaneous Plugging" or Endolymphatic Flow Dissipation?

Surgical plugging of the superior semicircular canal (SSC) represents an effective procedure to treat disabling symptoms in superior canal dehiscence (SCD), despite resulting in an impaired vestibulo-ocular reflex (VOR) gain for the SSC. On the other hand, SSC hypofunction on video head impulse test (vHIT) represents a common finding in patients with SCD exhibiting sound/pressure-induced vertigo, a low-frequency air-bone gap (ABG), and enhanced vestibular-evoked myogenic potentials (VEMPs). "Spontaneous canal plugging" has been assumed as the underlying process. Nevertheless, missing/mitigated symptoms and/or near-normal instrumental findings would be expected. An endolymphatic flow dissipation has been recently proposed as an alternative pathomechanism for SSC VOR gain reduction in SCD. We aimed to shed light on this debate by comparing instrumental findings from 46 ears of 44 patients with SCD exhibiting SSC hypofunction with post-operative data from 10 ears of 10 patients with SCD who underwent surgical plugging. While no difference in SSC VOR gain values was found between the two groups (p = 0.199), operated ears developed a posterior canal hypofunction (p = 0.002). Moreover, both ABG values (p = 0.012) and cervical/ocular VEMP amplitudes (p < 0.001) were significantly higher and VEMP thresholds were significantly lower (p < 0.001) in ears with SCD compared to operated ears. According to our data, canal VOR gain reduction in SCD should be considered as an additional sign of a third window mechanism, likely due to an endolymphatic flow dissipation.

Pedestrian–vehicle interactions at unsignalized mid-block crosswalks: Effects on traffic flow, CO[formula omitted] emissions, and energy dissipation

Unsignalized mid-block crosswalks are adopted to regulate unauthorized crossings by promoting drivers’ yielding to pedestrians. Although pedestrian–vehicle interactions at crosswalks have been widely studied, the effects of such facilities regarding traffic flow and emissions have been overlooked. This paper presents a vehicle–pedestrian cellular automata model to analyze the effects of two types of crosswalk systems: raised and zebra, on traffic characteristics. The model allows microscopically studying the impact of the induced speed heterogeneity in terms of traffic flow, CO2 emissions, and kinetic energy dissipation. Simulation results show that traffic flow experiences four phases in both systems: maximum current, congestion, jamming, and blocking; with second-order transitions among them. The maximum current phase is the only one with free-flow conditions shrinking faster in the system with a raised crosswalk than in the one with zebra. Both systems reach the blocking phase when the pedestrian entrance rate surpasses a critical value. However, raised crosswalk has lesser repercussions in CO2 emission and energy dissipation by eliciting traffic calm. This study enhances the comprehension of the impacts of mid-block crosswalks, depending on the manner in which they are deployed.

Effects of viscous dissipative MHD fluid flow past a moving vertical plate with rotating system embedded in porous medium

An incompressible unsteady free convective viscous MHD rotating flow past a moving plate embedded in a porous medium is considered with the influence of viscous dissipation, heat source effects. It is assumed that the flow rotates with angular velocity which is normal to the plate and also that a transverse magnetic field is applied along the normal to the plate. Appropriate dimensionless quantities are applied to change the governing equations into dimensionless form. Then the equations are solved numerically using the Galerkin finite element method. Some important characteristics of the fluid are studied. The results are in good agreement with the available literature.

Thin film flow, heat transfer and viscous dissipation effects on vertical stretching sheet for different shapes of (Au-Np) dispersed in water

In this article, we present numerical investigation and analysis of thin film flow and heat transfer effects for different shapes of gold nanoparticles on a vertical stretching sheet. There are several uses for thin liquid films, including antireflection coating for lenses. Coating systems must have a smooth, polished surface, low friction, clarity, and strength to satisfy the demands of all of these applications. We consider thin film flow of nanoparticles on a vertical stretching sheet due to their numerous applications. Additionally, we employed water as the base fluid and considered different shapes of gold nanoparticles (blades, cylinders, and platelets). After formulating the problem, we convert nonlinear partial differential equations (PDEs) into ordinary differential equations (ODEs) using a transformation. The resulting nonlinear differential equations have been computed by the BVP4c method. It is examined and graphically assessed how the Nusselt number, temperature, skin friction, and fluid velocity are related. This research suggests that the blade shape has the maximum heat transfer rate and the lowest skin friction coefficient value.

Effects of chemical reaction, Soret and Dufour parameters on MHD dissipative Williamson nanofluid flow over a slippery stretching sheet through a porous medium

ABSTRACT The goal of this study is to determine the effects of Soret, Dufour, and chemical reaction parameters on 2-D MHD Williamson nanofluid flow over a slippery-stretching sheet immersed in a porous medium. Under the influence of both magnetic field and thermal radiation, the significance of viscous dissipation and velocity slip boundary condition with heat generation have been explored. Similarity components were used to turn the nonlinear Partial Differential Equations (PDEs) into nonlinear Ordinary Differential Equations (ODEs), and they were solved using the fourth-order approach of the Runge–Kutta (R–K) method along with the shooting technique. The numerical computations were subsequently illustrated visually to demonstrate the influence of various physical factors on the plots of temperature, velocity, and concentration of the nanofluid. With the use of comparison with previously published data in a restricted sense, the veracity of computation results is evaluated. The tabular values illuminate that the local skin friction coefficient upsurge as the values of the magnetic parameter, porosity parameter, and Brownian motion parameter intensifies, whereas the opposite trend exists for other parameters. The local Nusselt number grows as the Schmidt number rises whereas the reverse trend was experienced for the freed-up parameters.

Energies associated with the spreading of a small sessile drop

In this work, the spreading of a small sessile drop on a smooth, flat surface has been analyzed. A comprehensive energy balance was developed that consists of wetting energy, air-liquid interfacial energy, gravitational energy, and heat due to flow dissipation. The net change in these energies is predicted to vary widely with the wettability of the solid surface. On the least wettable surfaces, energy released by contraction of the air-liquid interface drives spreading. On the most wettable surfaces, spreading is powered by wetting energy released from the advancing contact line. On surfaces with intermediate wettability, spreading is fueled by a combination of energies released from both the air-liquid interface and the contact line. Generally, gravitational energy is minuscule compared to the other energies. Overall, the model suggests that spreading is exothermic, as expected for a spontaneous process. Small liquid drops with a wide variety of surface tension and density are anticipated to give similar results.

MHD dissipative Powell-Eyring fluid flow due to a stretching sheet with convective boundary conditions and slip velocity

The novelty and motivation of this research can be emphasized by examining how the heat transfer mechanism of a non-Newtonian Powell-Eyring fluid, which flows because of a stretched sheet, is affected by factors like viscous dissipation, the slip velocity phenomenon, and Joule heating. In addition, the investigation delves into the heat transfer behavior of the fluid flow when it comes into contact with a convectively heated stretched surface that is influenced by varying fluid properties. This analysis also takes into account the influence of changing fluid characteristics and the presence of magnetic field. The numerical solutions of modelled equations that governing the problem are detected using the shooting technique. Also, in order to confirm the validity of the present investigation, a proper comparison with certain published works as a particular case of the present model is presented, and a perfect agreement is noted. With the use of diagrams and tables, the flow problem’s effective parameters are thoroughly discussed. Likewise, through a tabular representation, the values of the local Nusselt number and the skin-friction coefficient are computed and analyzed. Many significant conclusions can be drawn from numerical results. Most importantly, the local Nusselt number rises monotonically with both the surface convection parameter and the slip velocity parameter, but the local skin-friction coefficient has the opposite trend. The results indicate that the nanofluid temperature is enhanced by factors such as the surface convection parameter, magnetic field, and viscous dissipation. On the other hand, the slip velocity phenomenon leads to the opposite effect.

Significance of Temperature-Dependent Density on Dissipative and Reactive Flows of Nanofluid along Magnetically Driven Sheet and Applications in Machining and Lubrications

Nanofluid lubrication and machining are challenging and significant tasks in manufacturing industries that are used to control the removal of a material from a surface by using a cutting tool. The introduction of a nanofluid to the cutting zone provides cooling, lubricating, and chip-cleaning benefits that improve machining productivity. A nanofluid is a cutting fluid that is able to remove excessive friction and heat generation. Chemical reactions and temperature-dependent density are essential in the thermal behavior of a nanofluid. The present study presents a careful inspection of the chemical reactions, temperature-dependent density, viscous dissipation, and thermophoresis during the heat and mass transfer of a nanofluid along a magnetically driven sheet. The physical attitude of viscous dissipation and the chemical reaction improvement rate in magneto-nanofluid flow is the primary focus of the present research. By applying the proper transformation, nonlinear partial differential expressions are introduced to the structure of the ordinary differential framework. The flow equations are simplified into nonlinear differential equations, and these equations are then computationally resolved via an efficient computational technique known as the Keller box technique. Flow factors like the Eckert number, reaction rate, density parameter, magnetic force parameter, thermophoretic number, buoyancy number, and Prandtl parameter governing the velocity, temperature distribution, and concentration distribution are evaluated prominently via tables and graphs. The novelty of the current study is in computing a heat transfer assessment of the magneto-nanofluid flow with chemical reactions and temperature-dependent density to remove excessive friction and heating in cutting zones. Nanofluids play significant roles in minimum quantity lubrication (MQL), enhanced oil recovery (EOR), drilling, brake oil, engine oil, water-miscible cutting fluids, cryogenic cutting fluids, controlled friction between tools and chips and tools and work, and conventional flood cooling during machining processes.

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.

A new life cycle impact assessment methodology for assessing the impact of abiotic resource use on future resource accessibility

PurposeAbiotic resource is included as an impact category in life cycle impact assessment (LCIA). The most widely accepted LCIA method is abiotic resource depletion potential (ADP). However, numerous studies have illustrated the limitations of the ADP method, such as the neglect of resources that can be recycled. This paper aims to develop a comprehensive and objective method for assessing the impact of resource use on future generations, which can be used at different stages of the life cycle.MethodsBased on the above research objectives, this paper proposes a new method, the abiotic resource expected dissipation potential (AEDP) method, for assessing the impacts of current resource use on the abiotic resource accessibility. The method is divided into four impact categories based on different endpoints of the dissipative flow and replaces the resource extraction rate with the global annual dissipation rate and adds anthropogenic stocks to the total reserves, resulting in the characterization factor AEDPs. Finally, the four impact categories are weighted to obtain a final impact score for resource use.ResultsResults of the new method are presented as a multi-dimensional reflection of natural reserves, dissipation rates, and extraction rates of resources. The comparison between AEDPs and ADPs revealed differences between them, but they were not significant. A higher power of the total reserves in the AEDP formula can overemphasize the effect of natural reserves on the characterization factor. Furthermore, other natural reserve data was used as alternative indicators in the sensitivity analysis.ConclusionThe new assessment method enables the future impacts of abiotic resource use to be more accurately assessed. It can be used at any life cycle stage to support relevant stakeholder decision-making. However, a broader database is required to be developed to calculate more characterization factors. Moreover, the over-dominance of reserve data in the characterization factors overshadows the influence of other dimensions. Consequently, further research is necessary to improve the operability and plausibility of this method.

Inspection of Couette and pressure-driven Poiseuille entropy-optimized dissipated flow in a suction/injection horizontal channel: Analytical solutions

Abstract The main aim of this study is to analyse the electrically conductive flow of compressible liquids by two infinitely permeable surfaces. The distance between the two surfaces is h h . Thermal relation consists of viscous dissipation. The entropy features along with magnetic force and dissipation are taken into account. The x-axis extends in the flow path along the bottom stationary plate, whereas the y-axis is orthogonal to the surfaces. The channel plates are subjected to a consistent transverse magnetic field that is implemented perpendicularly. Herein, two scenarios are investigated: the first is the Couette flow, and in the second scenario, both porous surfaces are parallel and fixed at a distance of 2h, and the motion is a Poiseuille flow controlled by pressure. The flow across the x x -axis is supposed to be generated and dependent on y y exclusively. The governed system is solved using analytical solutions. It is found that the entropy formation is higher near the cloud porous plate in comparison to the hot porous plate and the increasing values of the suction/injection parameter increase the fluid temperature. The increase in the magnetic field parameter decreases the momentum boundary layer thickness. The Brinkman number improves the thermal boundary thickness. The magnetic field parameter, suction/injection, and the Brinkman number accelerate the entropy formation in both cases.

Turbulent Lorentz heat flow visualization in radiative boundary layer regime

Modern nuclear energy systems often employ the magneto-hydrodynamic and feature radiative heat transfer. Motivated by studying the near-wall transport phenomena in such applications, the present article examines the simultaneous influence of thermal radiative flux and magneto-hydrodynamics on two-dimensional electrically conducting natural convective turbulent heat transfer about a vertical surface under a transverse static magnetic field using the low Reynolds number kinetic energy and dissipation (k – ε) model. An optimized Crank–Nicolson finite difference method is applied to solve the nonlinear and coupled system of Reynolds-averaged boundary layer equations. Numerical computations are conducted to visualize the streamlines and heatlines in laminar and turbulent regimes via mathematical stream and heat functions based on the Bejan approach. A detailed parametric study of the effects of the magnetic field, radiative flux, and turbulent Reynolds number on flow average velocity, temperature, kinetic energy, and dissipation rate is conducted. The simulations reveal that an increase in the magnetic field intensity reduces the average velocity and dissipation rate, whereas an increase in thermal radiation decreases the time mean temperature. The study also includes contour plots of turbulence energy and dissipation rate, along with skin friction coefficient and Nusselt number. The obtained numerical outcomes are compared to previous literature, and a good agreement is found.

MHD dissipative flow past a permeable vertical plate in a porous medium in the presence of constant heat, mass flux, and diffusion‐thermo effect

AbstractAn analytical study of heat and mass transport in magnetohydrodynamic convective flow over an indefinitely long porous plate, which is vertically immersed in the porous medium, is investigated when heat sink, diffusion‐thermo, and thermal radiation are present. A magnetic field with uniform strength has been applied transversely directed into the fluid region. Analysis of diffusion‐thermo impact within the flow problem with constant heat and constant mass flux in the presence of thermal radiation and heat sink is the novelty of the current work. By using the Eckert number E as the perturbation parameter, the regular perturbation approach is used to solve nondimensional governing equations. On the flow and transport characteristics, the effects of Prandtl number, Grashof number, Eckert number, Dufour number, Schmidt number, radiation, magnetic field, and heat sink parameter have been investigated graphically and in tabular form, respectively. The innovative aspect of the current study is the inclusion of the Dufour effect, in addition to constant heat and mass flux at the plate. The Dufour effect can be utilized to improve separation processes, such as distillation, extraction, and chromatography. When the Dufour number and radiation parameter increase, the fluid velocity increases, and while the heat sink parameter increases, it decreases. As dissipation increases, the velocity of the fluid also increases. The concentration of the fluid is enhanced as mass diffusivity increases. When the heat absorption sink grows, the temperature of the fluid decreases.

Computational Study on Forced Convection Heat Transfer in Pin Fin Heat Sink (PFHS) with Inclined Wings

Fins are used to enhance the rate of heat dissipation by increasing convection. The total amount of conduction, convection, or radiation of an object determines the amount of heat it transfers. A pin fin heat sink is acts as a heat exchanger and transfers the heat generated by an electronic or a mechanical device to a fluid medium, where it is dissipated away from the device which helps in proper functioning of device. The present investigation deals with the CFD simulation of heat dissipation and fluid flow behavior of pin fin heat sink with straight and inclined wings. The results show that pin fin with straight wings or wings at 0 degrees dissipate more heat than pin fin with inclined wings at 15 degrees.

Study of Gap Flow Effects on Sound Transmission Through a Micro-Perforated Sandwich Cylindrical Shell Excited by a Plane Wave

This paper presents a theoretical model to study sound transmission through a micro-perforated double-walled sandwich cylindrical shell with emphasis on the potential of internal gap flow to improve the sound insulation performance. This model adopts Donnell’s thin shell theory to govern the shell motions and a simplified model based on Biot’s theory to describe sound propagation in the porous lining. The mean acoustic particle velocity model with the grazing flow effect is applied to define the coupling condition between the fluid medium and the perforated shell. Transmission loss (TL) through the configuration with one gap flow is numerically calculated using the mode superposition method when subjected to an oblique plane wave in the presence of an external mean flow. Results reveal that the gap flow in the opposite direction to the external flow would elevate the mid-frequency TL. Gap depth has a complicated effect on TL since it influences the aerodynamic damping of the gap flow and sound dissipation in the porous layer. The average TL in 20–20[Formula: see text]000[Formula: see text]Hz is then optimized with a genetic algorithm, and an increase of 17.82 dB is finally achieved. The possibility of tuning the structural sound insulation performance by the gap flow has been verified.

Unsteady Ohmic dissipative flow of ZnO-SAE50 nanofluid past a permeable shrinking cylinder

The laminar boundary layer flow of a Zinc Oxide-Society of Automotive Engineers 50 alias nano-lubricant () past a permeable shrinking cylinder is investigated. The flow is unsteady, incompressible, and Ohmic dissipative. The present study holds immense significance in different engineering as well as scientific domains. It combines research on nanoparticle effects, unsteady flows, and solid surface interactions. The study claimed that the use of nanofluid in the unsteady flow past a permeable shrinking cylinder led to significant heat transfer enhancement. The acquired results from the study would be fruitful in the fields of thermal engineering and heat transfer. The findings of the study can aid in optimizing cooling systems, heat exchangers, and energy-efficient designs. A governing model has been achieved for the flow and heat transfer by using conservation laws related to mass, momentum, and energy. Governing system of partial differential equations is solved to a nonlinear system of ordinary differential equations by using similarity transformation, which is later on solved with the help of the Shooting method and RK-Fehlberg duos. Plots are shown for both velocity and temperature profiles, to display the impacts of involved dimensionless parameters. Additionally, graphs for Nusselt Number have also been represented which shows the local rate of heat transfer. It is examined that the Ohmic dissipation as well as the volumetric ratio of the nanoparticles greatly influence the overall thermal performance of the system.

Data-driven estimation of entropy production by large scale motions in an intermediate turbine duct

In modern gas turbines, the physics of three-dimensional inflow for aggressive intermediate turbine ducts are strongly associated with large-scale coherent motions, which contribute to the production of irreversible aerodynamic and thermodynamic energy losses. To address this problem, an extended data-driven approach for estimating the irreversible losses through viscosity dissipation and heat transfer in turbulent flows is proposed. An aggressive intermediate turbine duct connected to a high-pressure turbine is numerically investigated using the detached-eddy simulation framework. The influence of tip leakage vortices and rotor wakes on the aerodynamics in the duct is assessed through quadruple proper orthogonal decomposition analysis. The entropy production rate corresponding to the coherent structures is then identified, and the irreversible losses in the duct subject to unsteady flow motions are quantitatively evaluated. The results indicate that the coherent structures in the intermediate turbine duct are strongly associated with the upstream conditions, including the tip leakage flow and rotor wakes. Direct viscous dissipation accounts for the majority of the irreversible losses, with coherent perturbed dissipation contributing to 7.25% and 5.54% of the total for tip gap sizes of 1.5% and 3.5% span, respectively. The streamwise development of coherent perturbations is restricted compared with that in the mean structure, and the stochastic part contributes little to the viscous dissipation. The proposed method provides a systematic procedure for estimating the irreversible energy losses in unsteady turbulent flow, and highlights the significance of unsteady aero-thermodynamics in the design of turbomachinery.

Performance of a right-triangle stilling basin: a laboratory investigation

AbstractOne of the most used hydraulic structures for energy dissipation of supercritical flow is the hydraulic jump stilling basin. From dimensional analysis, the sequent flow depth ratio of a hydraulic jump over the right-triangle basin is derived as a function of the inflow Froude number and relative length of the basin front. The proposed structure stabilized the hydraulic jump at the toe of the chute spillway and hydraulic jump characteristics were investigated for the Froude number ranging from 4.4 &amp;lt; F1 &amp;lt; 7. The results obtained from both numerical and experimental simulations yielded increased efficiency in the energy dissipation performance of this novel design. The modeling showed the formation of two large recirculation regions at the jump roller and jump bed at the beginning of the downstream channel, which resulted in intense energy dissipation in the right-triangle basin. The relative energy loss is approximately 37% higher for relative basin front lengths larger than three compared to the classic jump. Practitioners and academia on the usefulness of a right-triangle basin for hydraulic purposes and further experimental tests are needed to estimate the scalability and cost–benefit of this modified system for implementation.

Soret and Dufour effects on dissipative Jeffrey nanofluid flow over a curved surface with nonlinear slip, activation energy and entropy generation

Nanofluids have potential abilities and thermal features and provide more efficient results of heat transfer when compared with common liquid. Therefore, the major novel aspect of the current analysis is to analyze the entropy production and thermal feature of the system in the presence of cross-diffusion, nonlinear radiation, endothermic/exothermic reaction, activation energy and dissipation effects. Slip factor is additionally considered to slowing down the nanomaterial velocity. Furthermore, the effects of Lorentz force and nonlinear mixed convection are accounted. The governing differential equations for considered nanofluids are first converted into dimensionless ODEs utilizing proper variables. The obtained system is then computed using NDsolve technique. The approximated results for different distributions are shown through curves and tables. The impact of dimensionless parameters is visualized on fluid velocity, temperature, concentration, Nusselt number, skin friction and entropy generation. It has been observed that velocity steps up with curvature, ratio of buoyancy, solutal mixed convection and thermal convection parameters but declines for upgrading slip parameter. The temperature step down by upgrading exothermic/endothermic parameter, Dufour number and Brownian diffusion parameter, thermophoretic parameter and radiation parameter. It is also noticed that the concentration of the nanofluid upsurges for increasing activation energy and soret number, but concentration minimizes for growing the temperature difference parameter. Numerical results show that the Nusselt number decays for rising Soret number, Dufour number, thermophoretic parameter and Brownian diffusion parameter but a reverse trend is seen for radiation parameter and activation energy. Also, skin friction coefficient declines by enhancing thermal convection parameter, solutal mixed convection parameter and slip parameter but upgrades for boosting buoyancy parameter.

Heat transfer in the Jeffery-Hamel flow of a yield-stress fluid

Heat transfer in the Jeffery-Hamel flow of a yield-stress fluid that obeys the Bingham-Papanastasiou model is investigated in the present study. Among various rheological models proposed to formulate the flow of yield-stress fluids, the Bingham model is usually used to address the effect of yield-stress. A fluid that obeys the Bingham model does not show any shear-thinning or shear-thickening behaviors; this makes the interpretation of the results much easier. Addressing the unyielded regions (regions at which the yield-stress material behaves like a solid) in a yield-stress fluid flow is not a trivial task, and it could be impossible, especially in complex geometries. Unfortunately, the Bingham model itself cannot be used to formulate complex fluid flow problems due to the mathematical difficulties (i.e., addressing the unyielded regions); hence it is usually regularized to avoid these mathematical challenges. One of these regularized models is the Bingham-Papanastasiou model. Using an exponential term enables the Bingham-Papanastasiou model to address the unyielded regions. However, this exponential term results in highly non-linear equations, which are difficult to be handled mathematically. In the present study, the effect of the yield-stress (Bingham number) on the hydrodynamics and heat transfer in the Jeffery-Hamel flow is investigated by using the Bingham-Papanastasiou model. The momentum transfer in the Jeffery-Hamel flow of a Bingham-Papanastasiou fluid is governed by a highly non-linear ordinary differential equation (ODE) which is a boundary value problem. Assuming that the fluid's properties are independent of the temperature and pressure, this highly non-linear ODE is solved numerically. The heat transfer in the flow, with a constant wall temperature boundary condition, is investigated, assuming the flow to be an equilibrium viscous dissipation flow (the fluid's mixed mean temperature variation is negligible along the channel). The resultant linear energy equation is also solved numerically to obtain the temperature distribution across the channel. The results obtained in this work show that the yield-stress increases the wall shear stress, Nusselt number, and Stanton number. In fact, the effect of the yield-stress on the Nusselt number is comparable to the effects of Prandtl and Eckert numbers. It is also found that the yield-stress can prevent the flow separation in a divergent channel. Considering the advantages of using the yield-stress fluids as the working fluids in the Jeffery-Hamel flow, they can be considered as an alternative to nanoparticles which are usually used to enhance the fluid's thermal conductivity and also the Nusselt number.