Numerical Study on Creeping Flow of Burgers’ Fluids through a Peristaltic Tube

2011 ◽  
Vol 133 (12) ◽  
Author(s):  
Dharmendra Tripathi
Keyword(s):  
Flow Pattern ◽  
Numerical Study ◽  
Volumetric Flow Rate ◽  
Material Constant ◽  
Mechanical Efficiency ◽  
Creeping Flow ◽  
Material Constants ◽  
Homotopy Analysis ◽  
Burgers Fluid ◽  
Wavelength Approximation

Motivated by the objective of improving an understanding of the complex rheological fluid dynamics in fluid engineering and biomedical engineering, we consider the creeping flow of Burgers’ fluid with a fractional model through a peristaltic tube in the present article. Homotopy analysis method is used to solve the problem and obtain the approximate analytical solution in terms of axial velocity, volumetric flow rate, pressure gradient, stream function and mechanical efficiency under the long wavelength approximation. It is assumed that the cross-section of the tube varies sinusoidally along the length of tube. The impacts of fractional parameters, material constants, time and amplitude on the pressure difference, frictional force across one wavelength and trapping, are depicted numerically. It is found that the second material constant helps the flow pattern, whereas the other three material constants resist it through the peristaltic tube. The effects of fractional parameters on flow pattern are found to be opposite to each other.

Burgers fluid flow in perspective of Buongiorno’s model with improved heat and mass flux theory for stretching cylinder

2020 ◽  
Vol 92 (3) ◽  
pp. 31101
Author(s):  
Zahoor Iqbal ◽  
Masood Khan ◽  
Awais Ahmed
Keyword(s):  
Diffusion Process ◽  
Mathematical Formulation ◽  
Thermal Relaxation ◽  
Mass Diffusion ◽  
Stretching Cylinder ◽  
Discussion Section ◽  
Buongiorno’S Model ◽  
Homotopy Analysis ◽  
Burgers Fluid ◽  
Diffusion Phenomena

In this study, an effort is made to model the thermal conduction and mass diffusion phenomena in perspective of Buongiorno’s model and Cattaneo-Christov theory for 2D flow of magnetized Burgers nanofluid due to stretching cylinder. Moreover, the impacts of Joule heating and heat source are also included to investigate the heat flow mechanism. Additionally, mass diffusion process in flow of nanofluid is examined by employing the influence of chemical reaction. Mathematical modelling of momentum, heat and mass diffusion equations is carried out in mathematical formulation section of the manuscript. Homotopy analysis method (HAM) in Wolfram Mathematica is utilized to analyze the effects of physical dimensionless constants on flow, temperature and solutal distributions of Burgers nanofluid. Graphical results are depicted and physically justified in results and discussion section. At the end of the manuscript the section of closing remarks is also included to highlight the main findings of this study. It is revealed that an escalation in thermal relaxation time constant leads to ascend the temperature curves of nanofluid. Additionally, depreciation is assessed in mass diffusion process due to escalating amount of thermophoretic force constant.

scholarly journals Development of a Novel Hybrid Unified Viscoplastic Constitutive Model

2015 ◽  
Author(s):  
Luis A. Varela J. ◽  
Calvin M. Stewart
Keyword(s):  
Experimental Data ◽  
Stainless Steel ◽  
Hybrid Model ◽  
Material Constant ◽  
Inelastic Behavior ◽  
Hastelloy X ◽  
Material Constants ◽  
Stainless Steel 304 ◽  
Simulation Results ◽  
Optimal Material

Hastelloy X and stainless steel 304 are alloys widely used in industrial gas turbines components, petrochemical industry and energy generation applications; In the Pressure Vessel and Piping (PVP) industries they are used in nuclear and chemical reactors, pipes and valves applications. Hastelloy X and stainless steel 304 are favored for these types of applications where elevated temperatures are preferred for better systems’ efficiencies; they are favored due to its high strength and corrosion resistance at high temperature levels. A common characteristic of these alloys, is its rate-dependent mechanical behavior which difficult the prediction of the material response for design and simulation purposes. Therefore, a precise unified viscoplastic model capable to describe Hastelloy X and stainless steel 304 behaviors under a variety of loading conditions at high temperatures is needed to allow a better and less conservative design of components. Numerous classical unified viscoplastic models have been proposed in literature, to predict the inelastic behavior of metals under extreme environments. Based on Miller and Walker classical unified constitutive models a novel hybrid unified viscoplastic constitutive model is introduced in the present work, to describe the inelastic behavior caused by creep and fatigue effects at high temperature. The presented hybrid model consists of the combination of the best aspects of Miller and Walker model constitutive equations, with the addition of a damage rate equation which provides a description of the damage evolution and rupture prediction capabilities for Hastelloy X and stainless steel 304. A detailed explanation on the meaning of each material constant is provided, along with its impact on the hybrid model behavior. Material constants were calculated using the recently developed Material Constant Heuristic Optimizer (MACHO) software, to ensure the use of the optimal material constants values. This software uses the simulated annealing algorithm to determine the optimal material constants in a global surface, by comparing numerical simulations to an extensive database of experimental data. To validate the capabilities of the proposed hybrid model, numerical simulation results are compared to a broad range of experimental data at different stress levels and strain amplitudes; besides the consideration of two alloys in the present work, would demonstrate the model’s capabilities and flexibility to model multiple alloys behavior. Finally a quantitative analysis is provided to determine the percentage error and coefficient of determination between the experimental data and numerical simulation results to estimate the efficiency of the proposed hybrid model.

scholarly journals Analytical Solution for Heat Transfer in Electroosmotic Flow of a Carreau Fluid in a Wavy Microchannel

2019 ◽  
Vol 9 (20) ◽  
pp. 4359 ◽  
Author(s):  
Saima Noreen ◽  
Sadia Waheed ◽  
Abid Hussanan ◽  
Dianchen Lu
Keyword(s):  
Fluid Flow ◽  
Flow Pattern ◽  
Flow Rate ◽  
Electroosmotic Flow ◽  
Linear Problem ◽  
Perturbation Technique ◽  
Volumetric Flow Rate ◽  
Carreau Fluid ◽  
Long Wavelength ◽  
Wide Range

This article explores the heat and transport characteristics of electroosmotic flow augmented with peristaltic transport of incompressible Carreau fluid in a wavy microchannel. In order to determine the energy distribution, viscous dissipation is reckoned. Debye Hückel linearization and long wavelength assumptions are adopted. Resulting non-linear problem is analytically solved to examine the distribution and variation in velocity, temperature and volumetric flow rate within the Carreau fluid flow pattern through perturbation technique. This model is also suitable for a wide range of biological microfluidic applications and variation in velocity, temperature and volumetric flow rate within the Carreau fluid flow pattern.

Numerical study on flow pattern of sonic steam jet condensed into subcooled water

2017 ◽  
Vol 99 ◽  
pp. 206-215 ◽  
Author(s):  
Lun Zhou ◽  
Daotong Chong ◽  
Jiping Liu ◽  
Junjie Yan
Keyword(s):  
Flow Pattern ◽  
Numerical Study ◽  
Subcooled Water

scholarly journals Numerical study of junction-angle effects on flow pattern in a river confluence located in a river bend

Water SA ◽  
2016 ◽  
Vol 42 (1) ◽  
pp. 43 ◽  
Author(s):  
Rasool Ghobadian ◽  
Zahra Seyd Tabar ◽  
Parisa Koochak
Keyword(s):  
Flow Pattern ◽  
Numerical Study ◽  
River Confluence ◽  
Junction Angle ◽  
River Bend

scholarly journals Hydrodynamic Performance and Cavitation Analysis in Bottom Outlets of Dam Using CFD Modelling

2021 ◽  
Vol 2021 ◽  
pp. 1-14
Author(s):  
Omid Aminoroayaie Yamini ◽  
S. Hooman Mousavi ◽  
M. R. Kavianpour ◽  
Ramin Safari Ghaleh
Keyword(s):  
Flow Pattern ◽  
Flow Rate ◽  
Numerical Study ◽  
Maximum Velocity ◽  
Hydrodynamic Performance ◽  
Earth Dam ◽  
Cfd Modelling ◽  
Cavitation Phenomenon ◽  
Bottom Outlets ◽  
Bottom Outlet

Bottom outlets are significant structures of dams, which are responsible for controlling the flow rate, operation, or removal of reservoir sedimentation. The service gate controls the outlet flow rate, and whenever this gate is out of order, the emergency gate which is located at upstream is utilized. The cavitation phenomenon is one of the common bottom outlets’ problems due to the rapid flow transfer. The present research is a numerical study of the flow pattern in a dam’s bottom outlet for different gate openings by the use of Flow-3D software and RNG k-ε turbulence model. The investigation is carried out on the Sardab Dam, an earth dam in Isfahan (Iran). The maximum velocity for 100% opening of the gate and Howell Bunger valve is about 18 m/s in the section below the gate, and the maximum velocity for 40% opening of the gate is equal to 23.1 m/s. For 50% opening of the service and emergency gate in the valve’s upstream areas, the desired pressure values are reduced. Moreover, in the areas between the two emergency and service gates, the pressure values are reduced. The possibility of cavitation in this area can be reduced by installing aerators. The flow pattern in Sardab Dam’s bottom outlet has relatively stable and proper conditions, and there are no troublesome hydraulic phenomena such as local vortices, undesirable variations in pressure, and velocity in the tunnel, and there is no flow separation in the critical area of flow entering into the branch.

scholarly journals Numerical study of an influence of material constants of a heteromodular elastic medium on solutions of plane self-similar problems of shock deformation

2020 ◽  
pp. 180-189
Author(s):  
Ольга Владимировна Дудко ◽  
Александр Анатольевич Манцыбора
Keyword(s):  
Boundary Conditions ◽  
Elastic Medium ◽  
Plane Strain ◽  
Dynamic Behavior ◽  
Dynamic Deformation ◽  
Numerical Study ◽  
Shock Load ◽  
Material Constants ◽  
Self Similar ◽  
Model Equations

В работе представлены результаты численного решения двумерных автомодельных задач динамики деформирования горных пород в условиях плоской деформации. Для описания динамического поведения материалов под действием ударной нагрузки выбрана модель разномодульной изотропно-упругой среды с сингулярной зависимостью между напряжениями и деформациями. Проведена серия вычислительных экспериментов для различных материалов и параметров краевых условий. В результате сделан вывод о существенном влиянии знака материальных констант, отвечающих в модели за проявление разномодульности, на характер решения в целом и поведение возникающих волн деформаций в частности. The paper presents the results of numerical solving 2D self-similar problems of the dynamic deformation of rocks under plane strain conditions. To describe the dynamic behavior of materials in question under the action of a shock load, a model of an isotropic-elastic heteromodular medium with a singular dependence between stresses and deformations is chosen. A series of computational experiments was carried out for various materials and parameters of the boundary conditions. As a result, it has been concluded that the sign of the material constants responsing for the manifestation of different modularity in the model equations has a significant effect on the solution as a whole and the behavior of the arising deformation waves in particular.

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