Velocity Profile Distribution Research Articles

Computational fluid dynamics study on three‐dimensional polymeric scaffolds to predict wall shear stress using machine learning models for bone tissue engineering applications

AbstractGeometrical patterns and dimensions of the polymeric scaffold play a major role in controlling the degradation and mechanical stimuli for osteogenic differentiation. Wall shear stress (WSS) analysis of scaffold provides a better understanding of the body fluid flow dynamics. A computational fluid dynamics (CFD) study was carried out to understand velocity profile and WSS distribution when the strands are arranged in rectangular and triangular pitch for the different strand diameters and spacing. The number of scaffold surfaces with less than 30 mPa and maximum and average WSS was estimated to check the suitability of the scaffold for loading stem cells. This situation is favorable to induce osteogenic activity and cell viability. Higher spacing/pitch between the strands increases the chances of scaffold surface having WSS less than 30 mPa. When the spacing and diameter are smaller, there is no significant variation in WSS and pressure drop between rectangular and triangular pitch arrangement is observed. Machine learning (ML) models were developed to predict WSS distribution and to reduce the computational cost involved in solving the Navier–Stokes equation. XG Boost and support vector machine (SVM) models outperform the other models in predicting the WSS with high R2 and five‐fold cross‐validation accuracy and are helpful in predicting the optimal design parameters of a three‐dimensional scaffold.

Role of suction/injection on electromagnetohydrodynamics natural convection flow in a porous microchannel with electroosmotic effect

This paper examined the role of suction/injection on time-dependent electromagnetohydrodynamics (EMHD) natural (free) convection flow in a vertical microchannel with electroosmotic effect. With the aid of Laplace transformation method, the governing energy and momentum equations are converted from partial differential equation (PDE) into ordinary differential equation (ODE) to obtain fluid temperature and velocity in Laplace domain. The semi-analytical solutions of the velocity profile and temperature distribution have been derived using the Riemann sum approximation. After which a MATLAB program was written to study the effects of Prandlt number Pr, Hartmann number Ha, electric field strength on x and z directions (Ex and Sz) and Grashof number Gr in fluid velocity, temperature, skin-friction and mass flow rate in terms of line graphs. Result shows the role of suction/injection parameter alters the temperature distribution and velocity profile, so also how effective the governing parameters contribute to the flow formation. .

Machine Learning Aided Numerical and Experimental Investigation of Hydrodynamic Performance in the Circulating Fluidized Bed Boiler

Abstract This study attempts to illustrate the benefits of integrating the concepts of machine learning algorithms with the field of thermo-fluidic applications. The current work is aimed at identifying effective or significant hydrodynamic input parameters, which are capable of deriving full benefit of fluidization that could yield a better circulating fluidized bed (CFB) furnace design using the Apriori algorithm. For this, historical datasets from the literature are collected and pretreated based on the design under observation. Association analysis performed by this Apriori algorithm measures the comparative strength of parameters under consideration. Also, this algorithm is capable of identifying the right combinations of parameters that can produce maximum fluidization performance. The end results suggested by this Apriori algorithm are validated using the computational fluid dynamics package. For this, the transient behavior of a scaled-down (1:20) reactor model of a real-time industrial CFB boiler is simulated using ansys fluent 18.0. In specific, the effects of fluidizing velocities, inventory heights of the bed, and particle sizes recommended by the Apriori algorithm are investigated. Here, the effects are assessed in terms of volume fraction distribution and axial velocity profile distribution profiles. From the results of simulations, it was clearly found that 2 m/s inlet velocity produced good circulating fluidized bed patterns on a bed inventory height of 0.5 m for a mean particle size of 200 µm. The results obtained from the simulations are once again validated visually against snapshots obtained during real-time laboratory fluidization experimental runs. Among all the cases of comparisons, the best agreement is demonstrated by Apriori algorithm compared to the numerical and the experimentally obtained results. Also, it is found that the manual time taken to identify the right combinations of parameters is drastically reduced by this method compared to conventional optimization algorithm and trial error methods.

Analysis of Joule heating and viscous dissipation on electromagnetohydrodynamic flow with electroosmotic effect in a porous microchannel: A heat transfer miniature enhancement

AbstractThis work investigates the effect of Joule heating and viscous dissipation due to electric double layer (EDL) and electroosmotic effect on steady fully developed electromagnetohydrodynamic flow in a porous microchannel. Dimensionless formulations of the Poisson–Boltzmann, momentum, and energy equations are derived for the electric potential, velocity profile, and temperature distribution in the microchannel. Exact solutions for the temperature distributions and velocity profiles were obtained using the method of undetermined coefficients. The Debye–Hückel linearization is used to get an exact solution for the electric potential. The results showed that the Brinkmann number , Joule heating parameter , Debye–Hückel parameter , Hartmann number , electric field , and suction/injection parameter have a substantial impact on flow formation and heat transfer. Using MATLAB software, graphical simulations are provided to deliver a greater understanding of the influence of relevant parameters on the results achieved.

CFD Analysis and Development of Mixing Tank Design for The Fermented Starch Production Process

Stirred tanks are widely used in the industrial world, design and improvements are still being developed, including the stirred fermenter tank. A numerical study was carried out to examine the relationship between experimental and reference and computational analysis, in order to minimize the power consumption of a stirred fermenter tanks and optimize the velocity distribution and its profile in radial and axial direction. Specifically, velocity distribution profile in radial and axial direction and the profile of pressure distribution of an experimental impeller, a flat impeller, and a flat-hole impeller were investigated using Computational Fluid Dynamic (CFD) analysis. It was found that the axial velocity at the top and the bottom of the experimental impeller was highly disparate at around 0.95 m/s, while the flat impeller and the flat-hole impeller experienced a disparity of 0.05 m/s and 0.21 m/s, respectively. In case terms of decreased power, the experimental impeller showed power reduction of 21%, greater than that of the flat-hole impeller configuration of 17%.

Comparative investigations of Ag/H2O nanofluid and Ag-CuO/H2O hybrid nanofluid with Darcy-Forchheimer flow over a curved surface

Abstract Nanofluid performed well and produced good results in heat transport phenomena, attracting scientists to suspend other combinations of nanoparticles, called “hybrid nanofluid. Hybrid nanofluids are superior than nanofluids due to their thermal capabilities and emerging benefits that contribute to the boost in the rate of heat transmission. Applications for these nanoparticles, including sophisticated lubricants, are increasing in the fields of bioengineering and electricity. The main prospective of this research is to inquire about the water-based dual nature nanofluid stream numerical simulation through the irregular stretched sheet with heat transfer. In this perspective, silver with base fluid water is used as nanoparticles for nanofluid, and for making hybrid nanofluid, copper oxide and silver particles are used with water-based fluid. Modified Fourier and Fick’s model for heat flux utilized the above phenomenon and observed the heat and mass transport. Similarity variables are needed to transform the partial differential equations into associated nonlinear ordinary differential equations, which are then computationally resolved by the technique of bvp4c which is a built-in function in MATLAB mathematical software. Based on the concurrent approximations, reformations are performed to determine the impact of various quantities on flow variables. The predicted outcomes are depicted in velocity, temperature, and concentration profiles through graphical depiction. The factors indicate that the hybrid nanofluid is more powerful in the transfer of heat than a basic nanofluid because of its superior thermal characteristics. The velocity profile decays for the increasing values of Darcy-Forchheimer parameter. The thermal profile increases for the higher magnitude of Darcy-Forchheimer parameter. The velocity distribution profile increases for the higher values of curvature parameter, while the thermal profile decreases. This unique work might benefit nanotechnology and related nanocomponents. This safe size-controlled biosynthesis of Ag and CuO nanoparticles has resulted in a low-cost nanotechnology that may be used in a variety of applications. Biosynthesized Ag and CuO particles have been used successfully in a variety of applications, including biomedical, antibacterial agents, biological, food safety, and biosensing, to mention a few.

Analytical solution to calendering in eccentric cylindrical coordinates

Calendering is the process in which molten material is dragged through the nip region to produce a film or sheet. By nip region, we mean the area between two corotating rolls. Here, we analyze the calendering problem in eccentric cylindrical coordinates with the simplest fluid, Newtonian. We first assume the velocity profile as vθ(ξ,θ). We arrive at the analytical solution for the velocity profile and pressure distribution when the fluid passes between parallel rolls. We then get the flow rate (and, thus, the sheet thickness) by integrating the velocity profile between the parallel rolls. We include a worked example to teach how to use our main result.

Scientific exploring of Marangoni convection in stagnation point flow of blood-based carbon nanotubes nanofluid over an unsteady stretching surface

This study examines Marangoni convection in blood-based carbon nanotubes nanofluid's stagnation point flow over a time-dependent stretching surface. This study is inspired by the emerging importance of nanofluids in a variety of scientific and technical fields due to their unique and varied uses and effective thermal activities. Some examples of potential applications of these fluids include cancer treatment, magnetic refrigeration, drug delivery, and magnetic resonance imaging. Two types of nanoparticles are considered name is single wall carbon nanotube and multi wall carbon nanotube blood is takin as base fluid. Nonlinear partial differential equations are used to simulate the specified flow issue using momentum and energy conservation principles. Using a similarity transformation, the resultant is transformed into nonlinear with reduced dimensions. The relations for velocity profile and temperature distribution are calculated from the developed nonlinear ordinary differential equation by using an approximate analytical technique called the homotopy asymptotic method. Subsequently, these equations are implemented and executed within Mathematica software. The investigation focuses on significant outcomes such as momentum filed, energy filed, Skin friction coefficients, and Nusselt number. Graphs are used to interpret the effects of several factors, including the Marangoni parameter, nanoparticle volume friction, stretching parameter, slip parameter, and Prandtl number. The behavior of Nusselt's number and skin friction coefficient was also checked with the help of graphs and tables. The convergence of the solutions is checked with the help of auxiliary functions as well.

Analytical investigation of graphene oxide blood base nanofluid with the impact of dynamic viscosity and viscous dissipation

The aim of this research paper is to analytically investigate graphene oxide blood base nanofluid with the impact of dynamic viscosity and viscous dissipation. The increased thermal conductivity of nanofluids over regular fluids motivates this research. The basic flow equations are used to model the flow problem in nonlinear partial differential equations (NLPDEs). The dimensionless parameters, classical lie group, and thermo-physical properties are applied to transform the developed NLPDEs into dimensionless ordinary differential equations (ODEs). The resultant ODEs are resolved using the homotopy analysis method (HAM), and graphical and tabular interpretations are used to note the effects of contributing parameters including magnetic parameter, dynamic viscosity, nanoparticle volume friction, Eckert number, and Prandtl number on the velocity profile and temperature distribution. From the obtained results, we see that the velocity profile is decreasing by increasing magnetic parameter, dynamic viscosity, nanoparticle volume friction, and the temperature profile is increasing by increasing dynamic viscosity and Eckert number. The tabular descriptions of convergence of the presented fluid flow are also provided.

Concentration and Thermal Analysis of immiscible Tangent hyperbolic fluid with distinct viscosity through horizontal asymmetric channel: Theoretical and Observational study

This study examines cilia induced Tangent hyperbolic fluid flow with distinct viscosity, density in addition to thermal conductivity through horizontal asymmetric channel in two adjacent layers. The impact of mass and heat transfer in two adjacent layers with continuity at the interface is considered. The governing equations for double-layer fluid flow was modelled and simplified via well-known approximation long wavelength and small Reynolds number. The subsequent equations with boundary conditions provide exact solution for the velocity profile, temperature field and concentration distribution in both layers. The outcomes of occurring parameters on temperature, velocity and concentration field are explained graphically. The major findings show that velocity field and temperature field are extreme in internal fluid layer and concentration distribution is highest at external fluid layers. In both the layers by rising viscosities, thermal conductivities, fluid parameters and temperature profile increases. Potential applications for the current work include mucus clearance from respiratory tract, microfluidics, oesophageal transport, bio fluid mechanism and other fields of physiology.

Numerical simulations of Darcy-forchheimer flow of radiative hybrid nanofluid with Lobatto-IIIa scheme configured by a stretching surface

Heat transport and energy storage continue to be major issues for manufacturers and scientists. So far, the notion of novel heat transfer fluids has been developed, namely nanofluids and hybrid nanofluids. This investigation examines thermal radiation effect on heat transfer in MHD flow using the hybrid nanofluid. It examines a hybrid nanofluid (SWCNT-Al2O3/H2H6O2–H2O and MWCNT-CuO/H2H6O2–H2O) with H2O water base fluid nature passing through a starching surface with thermal radiation, Biot number and melting phenomena. The suitable similarity transformations are used to transmute the main governing system of equation PDEs and the appropriate boundary conditions for computation with the help of well-reputed shooting technique. The graphical and numerical outcomes against dissimilar flow parameters are computed by the mathematical software MATLAB. The velocity distribution profile is decreased by growing values of the Rotation parameter and porosity parameter. The velocity profile is enhanced by increasing the values of Darcy forchheimer medium. The thermal distribution field is enhanced by rising estimations of the thermal radiation parameter and Biot number. Temperature of the fluid is increasing due to increase in thermal conductivity parameter while decreasing due to increase in Marangoni ratio parameter. The present model hybrid nanofluid of heat transmission is evaluated to see if it has higher thermal energy storage efficiency than standard nanofluids. As a result, these novel findings in heat transport might be advantageous in dealing with energy storage issues in the modern technological environment.

Analytical analysis of silver-water, silver-blood base nanofluid flow over fluctuating disk with the influence of viscous dissipation over fluctuating disk

This work considers the analytical analysis of silver-water, silver-blood base nanofluid flow over fluctuating disk with the influence of viscous dissipation over fluctuating disk. The primary goal of this study is an effort to improve the heat transfer ratio, which is a core part of the engineering and industrial sectors. Following a continuity check, the problem is modeled using the conservation rules of momentum and energy. Nonlinear PDEs are produced through modeling, which are then transformed into ODEs using a similarity transformation and thermophysical characteristics. The resultant ODEs are resolved using the Optimal Homotopy Asymptotic Method (HAM). The outcomes of this method are compared to authenticate the outcomes of the obtained results. The Mathematica software is used to run HAM methods, and graphical interpretations are given to highlight the influence of dissimilar contributing factors on the velocity profile and temperature distribution. Nusselt’s number, and the skin friction are examined through graphical representation. Convergence of the problem is checked with the help of graphs and tables by using dual solution of the problem.

Analytical analysis of graphene oxide ethylene glycol and graphene oxide blood base nanofluid over a vertical surface

This work considers the analytical analysis of graphene oxide ethylene glycol and graphene oxide blood base nanofluid over a vertical sheet. The principal objective of this study is to make an effort to improve the heat transfer ratio, which is the core part of the engineering and industrial sectors. Following a continuity check, the problem is modeled using the conservation rules of momentum and energy. Nonlinear PDEs are produced through modeling, which are then transformed into ODEs using the similarity transformation and thermophysical characteristics. The resultant ODEs are resolved using the Homotopy Asymptotic Method, and graphical interpretations are given to highlight the influence of different contributing parameters such as unsteady parameter, nanoparticle volume fraction, mixed convection parameter, Grashof number and Prandtl number on the velocity profile and temperature distribution. It is noted that increasing the values of nanoparticle volume fraction and stretching parameter slow down the velocity profile. Also, increasing the values of mixed convection parameter and Grashof number (Gr) enhance the velocity profile, and increasing values of Prandtl number and Graship number reduce the temperature distribution. The Nusselt number and the skin friction are examined through graphical representation. It is noted that increasing the value of mixed convection parameter decreases the skin friction of the fluids, and the Nusselt number decreases with the growing value of Prandtl number.

Combined effect of radiation absorption and exponential parameter on chemically reactive Casson fluid over an exponentially stretching sheet

The essence of the current examination is to predict the consequence of the simultaneous incorporation of radiation absorption and chemical reaction on Casson fluid flow across an exponentially stretching surface under the influence of various exponential order flow parameters. The regulating partial differential equations are transitioned into ordinary differential equations by employing a best-suited similarity transformation. The resultant equations are computed numerically using MATLAB bvp4c built-in technique. In order to justify the precision of the numerical method used, the numerical values obtained in a constrained scenario are correlated with the outcomes existing in the literature. The impacts of multifarious dimensionless parameters on velocity profile, temperature and concentration distributions are illustrated graphically. The effect of involved parameters on skin friction coefficient, Nusselt number and Sherwood number are tabulated. The Combined influence of chemical reaction and radiation absorption with the incorporation of an exponential parameter on the flow field is trailblazing since the radiation absorption skyrockets the temperature, but on the contrary, chemical reaction decelerates the temperature.

Movement characteristics of the inclined surface flow of the open channel on the nanoscale surface

This study investigates the water flow characteristics on a solid surface with nanoscale compared to a normal solid surface. The experiment uses a high-speed video system and Fiber-optic Laser Doppler Velocimetry to measure the flow condition of the droplet and velocity distribution profile in the inclined surface flow of the open channel, respectively. The results showed that the movement speed of water droplets on the nanoscale surface was about 2 times faster than on the normal surface. The mean error of each velocity profile was 0.6%. The results reveal that the velocity profile is not significantly influenced by whether the flume bottom is coated with nanoscale material or not in the inclined surface flow of the open channel.

Analysis of assisting and opposing flows of the Eyring-Powell fluid on the wall jet nanoparticles with significant impacts of irregular heat source/sink

Nanofluids are employed in a variety of human endeavors, such as engineering tools in chemical and power engineering, electronics, medicine, and other areas. Thus, this article investigates the wall jet flow (WJF) and heat transfer (HT) by incorporating the Eyring-Powell nanofluid with a significant consequence of erratic heat source/sink and buoyancy. The leading equations are converted by similarity variables and then obtained numerical solutions by the bvp4c technique. The influences of physical influential parameters on the dimensionless velocity and dimensionless temperature distribution profiles are discussed to predict the behavior of the fluid flow and heat transfer. Also, the heat transfer and friction factor were elaborated with the aid of tables for dimensionless emerging parameters. Moreover, the current results are compared with published results in a limiting case to show the accuracy of the present method. Finally, the current study informs us that the relevant parameters have had a considerable impact on the profiles of the boundary layer.

Numerical study on effect of reservoir vortex on velocity distribution profile in pipe

Numerical study on effect of reservoir vortex on velocity distribution profile in pipe

1D profile measurement of ion velocity distribution with glass-tube-pair type Doppler probe array

We developed a glass-tube-pair type Doppler probe array for ion velocity distribution function measurement with high spatial and time resolution. By four mirrors and four optical fibers fixed in two parallel glass tubes, the light from ions in each measurement area (3.2 × 2.5 × 1.0 cm3) between tubes is collected in three different directions, and the fibers are led to a Czerny–Turner spectrometer and finally to an ICCD camera (the exposure time of 2 μs) for Doppler spectra measurements with high time resolution. Since the Doppler spectrum profile in each viewing line represents the distribution of the ion velocity component in the line, we can reconstruct 2D velocity distribution by the measured spectra in three viewing lines with tomography techniques. We tested the accuracy of some reconstruction methods from spectra to velocity distribution in numerical simulation and chose the iterative method as the best one. By use of this new diagnostic, we successfully measured the radial profile of ion velocity distribution during magnetic reconnection of merging spherical tokamak plasmas and revealed that their ions have anisotropic velocity distributions.

Modeling trajectories of human speech articulators using general Tau theory

This paper presents an application of general Tau theory to the modeling and analysis of articulatory trajectories in speech. We evaluated the model using electromagnetic articulometry data from 12 native speakers of English reading a common text, where trajectories of the following sensors were fitted: lower and upper lips, jaw, and three tongue sensors. Additionally, we analyzed trajectories of the lip aperture signal. Our experiments show that the general Tau theory model gives a better fit than existing (i) methods based on critically damped oscillators, and (ii) a method based on sequential target approximation. These findings support the hypothesis of Tau-guided movements of articulators during speech production. In the second part of the paper, our Tau theory analysis shows that articulatory movements follow similar velocity profile distributions across speakers. In particular, the value of the shape parameter κ of the Tau theory equation is identically distributed across speakers, following a unimodal distribution. The statistical mode of the distribution corresponds to the value of κ that generates a symmetric velocity profile. The analysis of the statistical distribution of κ values also reveals that its variance decreases when greater articulatory effort is required, such that produced articulatory effort remains close to that predicted by the theoretical minimal cost function based on forces acting on the moving articulator. This provides new evidence that articulatory effort is optimized during speech production.

Comparative study of ternary hybrid nanofluids with role of thermal radiation and Cattaneo-Christov heat flux between double rotating disks

Heat and mass transfer are crucial to numerous technical and commercial operations, including air conditioning, machinery power collectors, crop damage, processing food, heat transfer mechanisms, and cooling, among numerous others. The fundamental purpose of this research is to use the Cattaneo-Christov heat flux model to disclose an MHD flow of ternary hybrid nanofluid through double discs. The results of a heat source and a magnetic field are therefore included in a system of PDEs that model the occurrences. These are transformed into an ODE system using similarity replacements. The first-order differential equations that emerge are then handled using the computational technique Bvp4c shooting scheme. The Bvp4c function in MATLAB is used to numerically solve the governing equations. The influence of the key important factors on velocity, temperature, nanoparticles concentration, and is illustrated visually. Furthermore, increasing the volume fraction of nanoparticles improves thermal conduction, increasing the heat transfer rate at the top disc. The graph indicates that a slight increase in melting parameter rapidly declines the velocity distribution profile of nanofluid. The temperature profile was boosted due to the growing outcomes of the Prandtl number. The increasing variations of the thermal relaxation parameter decline the thermal distribution profile. Furthermore, for some exceptional instances, the obtained numerical answers were compared to previously disclosed data, yielding a satisfactory compromise. We believe that this discovery will have far-reaching ramifications in engineering, medicine, and the field of biomedical technology. Additionally, this model can be used to examine biological mechanisms, surgical techniques, nano-pharmacological drug delivery systems, and the therapy of diseases like cholesterol using nanotechnology.