scholarly journals Influence of Thermodiffusion on Time Dependent Casson Fluid Flow past a Wavy Surface

Author(s):  
B. Ramadevi ◽  
J. V. Ramana Reddy ◽  
V. Sugunamma

The characteristics of unsteady motion of Casson fluid over a wavy surface with magnetic field is studied. The energy and diffusion equations are encompassed with radiation, heat source and thermo diffusion effects. The flow governing equations have been solved using regular perturbation technique. MATLAB bvp4c package is for discerning the impact of governing parameters on the usual flow profiles. various pertinent parameters on velocity, temperature and concentration profiles of the Casson fluid flow. The frictional factor, heat and mass transfer coefficients are tabulated for the same parameters. From this analysis, it is worth mentioning that a hike in fluid viscosity slowdowns the velocity profiles but the result is opposite with Soret effect. Also, accelerating values of radiation parameter uplifts the rate of mass and heat transport but controls the shear stress.

2017 ◽  
Vol 11 ◽  
pp. 43-56 ◽  
Author(s):  
S. Venkateswarlu ◽  
S.V.K. Varma ◽  
R.V.M.S.S. Kiran Kumar ◽  
Chakravarthula S.K. Raju ◽  
Putta Durga Prasad

The present study aims to analyze the radiation absorption and viscous dissipation effects on MHD free convective Casson fluid flow over a vertical permeable semi-infinite plate in the presence of first order homogeneous chemical reaction. The time-dependent wall suction is assumed to occur at the permeable surface. The non-Newtonian fluid behavior is characterized by using the Casson fluid model. The coupled non-linear ordinary differential equations (ODE’s) are solved by perturbation technique. The impact of sundry parameters on the velocity, temperature, species concentration as well as the friction factor coefficient, the rate of heat and mass transfer coefficients are computed and analyzed through graphs.


2019 ◽  
Vol 8 (1) ◽  
pp. 283-292 ◽  
Author(s):  
R. Saravana ◽  
M. Sailaja ◽  
R. Hemadri Reddy

Abstract In the study, we inspect the impact of cross diffusion and aligned magnetic field on Casson fluid flow along a stretched surface of variable thickness. The differential equations explaining the flow situation have been transitioned with the succor of suited transfigurations. The solution of the problem is achieved by using bvp5c Matlab package. From the solution, it is perceived that the flow, temperature and concentration fields are affected by the sundry physical quantities. Results explored for the flow over a uniform and a non-uniform thickness surfaces. The influence of emerging parameters on the flow, energy and mass transport are discussed with graphical and tabular results. Results show that the thermal, flow and species boundary layers are uneven for the flow over a uniform and non-uniform thickness stretched surfaces.


Author(s):  
BJ Gireesha ◽  
CT Srinivasa ◽  
NS Shashikumar ◽  
Madhu Macha ◽  
JK Singh ◽  
...  

The combined effects of the magnetic field, suction/injection, and convective boundary condition on heat transfer and entropy generation in an electrically conducting Casson fluid flow through an inclined porous microchannel are scrutinized. The temperature-dependent heat source is also accounted. Numerical simulation for the modelled problem is presented via Runge–Kutta–Felhberg-based shooting technique. Special attention is given to analyze the impact of involved parameters on the profiles of velocity [Formula: see text], temperature [Formula: see text], entropy generation [Formula: see text], and Bejan number [Formula: see text]. It is established that entropy generation rate decreases at the walls with an increase in Hartmann number [Formula: see text], while it increases at the center region of the microchannel.


2015 ◽  
Vol 70 (8) ◽  
pp. 583-591
Author(s):  
Muhammad Nasir ◽  
Adnan Saeed Butt ◽  
Asif Ali

AbstractA mathematical model has been performed for momentum, temperature, and mass concentration of a time-dependent Casson fluid flow between a long vertical wavy wall and a parallel wavy wall subject to convective boundary conditions. Perturbation technique is used to convert the coupled partial differential equations for velocity, temperature, and mass concentration to systems of ordinary differential equations. Analytical results for these differential equations are computed. The effects of various physical parameters such as thermal conductivity, thermal Grashof number, solutal Grashof number, heat absorption parameter, and Biot number are analysed graphically.


2022 ◽  
Vol 6 (1) ◽  
pp. 38
Author(s):  
Ridhwan Reyaz ◽  
Ahmad Qushairi Mohamad ◽  
Yeou Jiann Lim ◽  
Muhammad Saqib ◽  
Sharidan Shafie

Fractional derivatives have been proven to showcase a spectrum of solutions that is useful in the fields of engineering, medical, and manufacturing sciences. Studies on the application of fractional derivatives on fluid flow are relatively new, especially in analytical studies. Thus, geometrical representations for fractional derivatives in the mechanics of fluid flows are yet to be discovered. Nonetheless, theoretical studies will be useful in facilitating future experimental studies. Therefore, the aim of this study is to showcase an analytical solution on the impact of the Caputo-Fabrizio fractional derivative for a magnethohydrodynamic (MHD) Casson fluid flow with thermal radiation and chemical reaction. Analytical solutions are obtained via Laplace transform through compound functions. The obtained solutions are first verified, then analysed. It is observed from the study that variations in the fractional derivative parameter, α, exhibits a transitional behaviour of fluid between unsteady state and steady state. Numerical analyses on skin friction, Nusselt number, and Sherwood number were also analysed. Behaviour of these three properties were in agreement of that from past literature.


2018 ◽  
Vol 388 ◽  
pp. 14-27 ◽  
Author(s):  
Janke Venkata Ramana Reddy ◽  
Vangala Sugunamma ◽  
N. Sandeep

Present study deals with the impact of cross diffusion on Casson fluid flow in the presence of Lorentz force. Flow is caused by the exponential stretching of surface in two lateral directions. The influence of space dependent varying heat sink/source is also contemplated. The basic governing equations are first converted into system of ODEs and then solved using an efficient numerical procedure namely R.K. based shooting technique. From the solution we found that flow is affected by some physical parameters like Casson parameter, non uniform heat parameters, Soret and Dufour numbers etc. Hence the impact of such parameters on velocity, temperature and concentration profiles is shown via plots. Further the friction factor, local Nusselt and Sherwood numbers are also calculated and given in tables. Results indicate that an increase in the Casson parameter enhances the temperature and concentration fields. Dufour and Soret numbers have tendency to enhance temperature and concentration fields respectively.


2018 ◽  
Vol 73 (4) ◽  
pp. 209-221 ◽  
Author(s):  
Sadia Siddiqa ◽  
Naheed Begum ◽  
Md. Anwar Hossain ◽  
M. Shoaib ◽  
Rama Subba Reddy Gorla

2021 ◽  
Vol 10 (1) ◽  
pp. 213-230
Author(s):  
Kanayo K. Asogwa ◽  
Sardar M. Bilal ◽  
Isaac L. Animasaun ◽  
Fateh M. Mebarek-Oudina

Abstract The importance of heat absorption and chemical reactions and their impact in engineering is increasingly appreciated. However, little is known about the effect of chemical reaction and heat absorption of ramped wall temperature and ramped surface concentration on a Casson fluid flow over a rapidly accelerated inclined Riga plate. The aim of the study, among other findings along an inclined Riga plate, is to address the impact of heat sink and chemical reaction over a ramped temperature and ramped surface concentration. By introducing relevant similarity variables, the dimensional governing equations are non-dimensionalized and parameterized. After that, the derived parameterized governing equations are solved analytically using the Laplace transform method. Graphs are used to discuss and analyse the effects of various physical parameters on momentum, energy, and concentration. The latest findings are verified by comparing them to previous results. Tables are also used to determine skin friction, Nusselt number, and Sherwood number expressions. Comparatively, it's worth noting that chemical reaction, Casson, and heat absorption parameters tend to escalate Skin friction for both ramped temperature and ramped surface concentration. Moreso, an increase in the chemical reaction and heat absorption parameters induces a decrease in the momentum distribution.


Sign in / Sign up

Export Citation Format

Share Document