scholarly journals Boundary Layer of a Dusty Fluid Flow Over A Stretching Sheet

2018 ◽  
Vol 7 (4.30) ◽  
pp. 462
Author(s):  
Noorzehan F. M. S ◽  
Anati A ◽  
Syahira M ◽  
Radiah M ◽  
Nurul A. J
Keyword(s):  
Boundary Layer ◽  
Interaction Parameter ◽  
Stretching Sheet ◽  
Particle Interaction ◽  
Fluid Phase ◽  
Fluid Particle ◽  
Physical Parameters ◽  
Suction Parameter ◽  
Dusty Fluid ◽  
Linear Ordinary Differential Equations

A numerical analysis has been carried out to investigate the effects of suction parameter and fluid-particle interaction parameter on boundary layer of dusty fluid towards the stretching sheet. The governing equations of boundary layer were transformed into system of coupled non-linear ordinary differential equations with the help of similarity transformation. The transformed equations then solved numerically using bvp4c solver of MATLAB software. The effects of physical parameters on velocity profile of fluid phase and dust particle phase were obtained and analysed through several plots. Useful discussion were carried out with the help of plotted graphs and tables. The numerical results obtain were compared and found to be in good agreement with the previous study. It is observed that the presence of suction increase the velocity of fluid meanwhile opposite with velocity of particle. Besides that, the fluid-particle interaction parameter increase the velocity of particle. These findings will be used for future studies involving nanofluid.

scholarly journals Hydromagnetic boundary layer flow of a dusty fluid in a porous medium over a stretching sheet with slip effect

2017 ◽  
Vol 13 (3) ◽  
Author(s):  
Noorzehan Fazahiyah Md Shab ◽  
Anati Ali
Keyword(s):  
Boundary Layer ◽  
Porous Medium ◽  
Boundary Layer Flow ◽  
Stretching Sheet ◽  
Particle Interaction ◽  
Velocity Slip ◽  
Physical Parameters ◽  
Dusty Fluid ◽  
Linear Ordinary Differential Equations ◽  
Layer Flow

This paper investigated the problem of hydromagnetic boundary layer flow and heat transfer of a dusty fluid over a stretching sheet through a porous medium. The velocity slip was considered instead of the no-slip condition at the boundary. The governing partial equations were reduced into a set of non-linear ordinary differential equations by using the suitable similarity transformation. The transformed equations were numerically integrated using bvp4c in Matlab. The effects of various physical parameters on the velocity and temperature profiles of both phases, such as fluid-particle interaction parameter, magnetic parameter, mass concentration parameter, porosity parameter and Prandtl number were obtained and analyzed through several plots. Useful discussions were carried out with the help of plotted graphs and tables. Under the limiting cases, the obtained numerical results were compared and found to be in good agreement with previously published results.

Boundary layer flow of a dusty fluid over a permeable shrinking surface

2017 ◽  
Vol 27 (4) ◽  
pp. 758-772 ◽  
Author(s):  
Rohana Abdul Hamid ◽  
Roslinda Nazar ◽  
Ioan Pop
Keyword(s):  
Boundary Layer ◽  
Particle Interaction ◽  
Engine Oil ◽  
Shrinking Sheet ◽  
Suction Parameter ◽  
Content Type ◽  
Dusty Fluid ◽  
Boundary Layer Problem ◽  
Shrinking Surface ◽  
Layer Problem

Purpose The purpose of this paper is to numerically study the boundary layer problem for the case of two-dimensional flow of dusty fluid over a shrinking surface in the presence of the fluid suction at the surface. Design/methodology/approach The governing equations of the problem are reduced to the system of ordinary differential equations using the similarity transformation and then solved using the bvp4c method in the Matlab software. Findings The effects of the drag coefficient parameter L, the fluid–particle interaction parameter δ, the suction parameter s and the particle loading parameter ω on the flow of the permeable shrinking sheet are investigated. It is found that the aforementioned parameters have different effects in the shrinking sheet flow. This study has also succeeded in discovering the second solution, and through the stability analysis, it is suggested that the solution is unstable and not physically realizable in practice. Practical implications The current findings add to a growing body of literature on the boundary layer problem in the dusty fluid. The dusty fluid is significant in various practical applications such as in the transporting suspended powdered materials through pipes, propulsion and combustion in rockets, the flow of blood in arteries, wastewater treatment and as corrosive particles in engine oil flow. Originality/value Even though the dusty fluid problem has been extensively studied in the flow of the stretching sheet, limited findings can be found over a shrinking flow. In fact, this is the first study to discover the second solution in the dusty fluid problem.

Numerical solutions for unsteady boundary layer flow of a dusty fluid past a permeable stretching/shrinking surface with particulate viscous effect

2018 ◽  
Vol 28 (6) ◽  
pp. 1374-1391 ◽  
Author(s):  
Rohana Abdul Hamid ◽  
Roslinda Nazar ◽  
Ioan Pop
Keyword(s):  
Stability Analysis ◽  
Differential Equations ◽  
Unsteady Flow ◽  
Fluid Particle ◽  
Dust Particles ◽  
Physical Parameters ◽  
Suction Parameter ◽  
Content Type ◽  
Dusty Fluid ◽  
Wide Range

Purpose This present aims to present the numerical study of the unsteady stretching/shrinking flow of a fluid-particle suspension in the presence of the constant suction and dust particle slip on the surface. Design/methodology/approach The governing partial differential equations for the two phases flows of the fluid and the dust particles are reduced to the pertinent ordinary differential equations using a similarity transformation. The numerical results are obtained using the bvp4c function in the Matlab software. Findings The results revealed that in the decelerating shrinking flow, the wall skin friction is higher in the dusty fluid when compared to the clean fluid. In addition, the effect of the fluid-particle interaction parameter to the fluid-phase can be seen more clearly in the shrinking flow. Other non-dimensional physical parameters such as the unsteadiness parameter, the mass suction parameter, the viscosity ratio parameter, the particle slip parameter and the particle loading parameter are also considered and presented in figures. Further, the second solution is discovered in this problem and the solution expanded with higher unsteadiness and suction values. Hence, the stability analysis is performed, and it is confirmed that the second solution is unstable. Practical implications In practice, the flow conditions are commonly varying with time; thus, the study of the unsteady flow is very crucial and useful. The problem of unsteady flow of a dusty fluid has a wide range of possible applications such as in the centrifugal separation of particles, sedimentation and underground disposable of radioactive waste materials. Originality/value Even though the problem of dusty fluid has been broadly investigated, limited discoveries can be found over an unsteady shrinking flow. Indeed, this paper managed to obtain the second (dual) solutions, and stability analysis is performed. Furthermore, the authors also considered the artificial particle-phase viscosity, which is an important term to study the particle-particle and particle-wall interactions. With the addition of this term, the effects of the particle slip and suction parameters can be investigated. Very few studies in the dusty fluid embedded this parameter in their problems.

The Investigation of a Fluid-Solid Interaction Mathematical Model under Combined Convective Jeffrey Flow and Radiation Effect Embedded Newtonian Heating as the Thermal Boundary Condition over a Vertical Stretching Sheet

2020 ◽  
Vol 399 ◽  
pp. 65-75 ◽  
Author(s):  
Abdul Rahman Mohd Kasim ◽  
Nur Syamilah Arifin ◽  
Syazwani Mohd Zokri ◽  
Mohd Zuki Salleh
Keyword(s):  
Differential Equation ◽  
Boundary Condition ◽  
Stretching Sheet ◽  
Solid Phase ◽  
Particle Interaction ◽  
Thermal Boundary Condition ◽  
Dust Particles ◽  
Jeffrey Fluid ◽  
Physical Parameters ◽  
Newtonian Heating

The investigation on the interaction between solid and fluid under combined convective flow has been carried out mathematically. The Jeffrey fluid model is taken as the fluid phase and the model is being embedded with the dust particles (solid phase). This two-phase model is constructed by introducing the fluid-particles interaction forces in the momentum equations of the fluid and dust phases, respectively. The natural and forced convections together with the aligned magnetic field are considered on the fluid flow. Also, the Newtonian heating as thermal boundary condition is induced on the vertical stretching sheet. In order to reduce the complexity of the model, the governing equations are transformed from partial differential equation into ordinary differential equation via suitable similarity transformation. The solutions are obtained in terms of velocity and temperature profiles for the fluid and particles phases respectively whereby the Keller-box method is utilized to obtain the desired outcomes. The influences of several significant physical parameters are visualized graphically to clarify the flow and heat transfer characteristic for both phases. The investigation found that the fluid’s velocity is affected by the presence of the dust particles which led to decelerate the fluid transference. The present flow model is able to be compared with the single-phase fluid cases if the fluid-particle interaction parameter is ignored.

Radiative Unsteady Rarefied Gaseous Flow Over a Stretching Sheet with Velocity Slip and Temperature Jump Effects

2020 ◽  
Vol 87 (3-4) ◽  
pp. 261
Author(s):  
Ram Prakash Sharma ◽  
N. Indumathi ◽  
S. Saranya ◽  
B. Ganga ◽  
A. K. Abdul Hakeem
Keyword(s):  
Boundary Layer ◽  
Differential Equations ◽  
Boundary Conditions ◽  
Ordinary Differential Equations ◽  
Stretching Sheet ◽  
Velocity Slip ◽  
Skin Friction Coefficient ◽  
Gaseous Flow ◽  
Linear Ordinary Differential Equations ◽  
Non Linear

In this study a mathematical analysis has been carried out to scrutinize the unsteady boundary layer flow of an incompressible, rarefied gaseous flow over a vertical stretching sheet with velocity slip and thermal jump boundary conditions in the presence of thermal radiation. Using boundary layer approach and suitable similarity transformations, the governing partial differential equations with the boundary conditions are reduced to a system of non-linear ordinary differential equations. The resulting non-linear ordinary differential equations are solved with the help of fourth order Runge-Kutta method with shooting technique. The results obtained for the velocity profile, temperature profile, skin friction coefficient and the reduced Nusselt number are described through graphs. It is predicted that the velocity and temperature profiles are lower for unsteady flow and has an opposite effect for steady flow.

An Initial Value Method for the Solution of MHD Boundary-Layer Equations

1970 ◽  
Vol 21 (1) ◽  
pp. 91-99 ◽  
Author(s):  
T. Y. Na
Keyword(s):  
Boundary Layer ◽  
Iteration Process ◽  
Physical Parameters ◽  
Point Boundary ◽  
Initial Value ◽  
Linear Ordinary Differential Equations ◽  
Boundary Layer Equations ◽  
Mhd Boundary Layer ◽  
Layer Flow ◽  
Mhd Boundary Layer Flow

SummaryAn initial value method is introduced in this paper for the solution of the two-point non-linear ordinary differential equations resulting from an analysis of the MHD boundary-layer flow originally treated by Greenspan and Carrier. By using this method, the iteration process is eliminated. The method is seen to be applicable to the solution of similar two-point boundary value problems where certain physical parameters appear either in the differential equation or in the boundary conditions and solutions for a range of the parameter are sought.

Thermal Radiation Effect on Hydromagnetic Flow of Dusty Fluid over a Stretching Vertical Surface

2014 ◽  
Vol 71 (5) ◽  
Author(s):  
S. Mohamad Isa ◽  
A. Ali
Keyword(s):  
Fluid Flow ◽  
Thermal Radiation ◽  
Radiation Effect ◽  
Stretching Sheet ◽  
Magnetic Parameter ◽  
Particle Interaction ◽  
Vertical Surface ◽  
Fluid Particle ◽  
Fluid Particle Suspension ◽  
Thermal Radiation Effect

In this paper, an analysis has been carried out to investigate the hydromagnetic fluid flow of dusty fluidwith thermal radiation at vertical stretching sheet. The behavior of velocity and temperature profile ofhydromagnetic fluid flow with fluid particle suspension is analyzed by using Runge Kutta Fehlberg forthfifthorder method (RKF45 Method). These solutions are presented and discussed for different parametersof interest such as fluid particle interaction parameter, the magnetic parameter, the radiation parameter,Grashof number, Eckert number and Prandtl number on the flow.

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