Analytical Solution to Coupled Chemical Reaction and Thermally Diffusing Systems: Applicability to Self-Propagating Thermopower Waves

2010 ◽  
Vol 1 (24) ◽  
pp. 3514-3519 ◽  
Author(s):  
Joel T. Abrahamson ◽  
Michael S. Strano
Keyword(s):  
Analytical Solution ◽  
Chemical Reaction ◽  
Thermopower Waves

scholarly journals Analytical Solution for Impact of Caputo-Fabrizio Fractional Derivative on MHD Casson Fluid with Thermal Radiation and Chemical Reaction Effects

2022 ◽  
Vol 6 (1) ◽  
pp. 38
Author(s):  
Ridhwan Reyaz ◽  
Ahmad Qushairi Mohamad ◽  
Yeou Jiann Lim ◽  
Muhammad Saqib ◽  
Sharidan Shafie
Keyword(s):  
Fluid Flow ◽  
Analytical Solution ◽  
Thermal Radiation ◽  
Fractional Derivative ◽  
Chemical Reaction ◽  
Fractional Derivatives ◽  
Experimental Studies ◽  
Fluid Flows ◽  
Casson Fluid ◽  
The Impact

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.

scholarly journals Analytical Solution of Steady-State Equations for Chemical Reaction Networks with Bilinear Rate Laws

2013 ◽  
Vol 10 (4) ◽  
pp. 957-969 ◽  
Author(s):  
Adam M. Halasz ◽  
Hong-Jian Lai ◽  
Meghan McCabe Pryor ◽  
Krishnan Radhakrishnan ◽  
Jeremy S. Edwards
Keyword(s):  
Steady State ◽  
Analytical Solution ◽  
Chemical Reaction ◽  
Chemical Reaction Networks ◽  
Reaction Networks ◽  
State Equations ◽  
Rate Laws

Modelling of mass transport and chemical reaction in a diaphragm

1987 ◽  
Vol 52 (7) ◽  
pp. 1692-1700
Author(s):  
Martin Schleiff ◽  
Günther Lefeld ◽  
Hermann Matschiner ◽  
Otomar Špalek
Keyword(s):  
Mathematical Model ◽  
Analytical Solution ◽  
Mass Transport ◽  
Chemical Reaction ◽  
Current Density ◽  
Approximate Analytical Solution ◽  
Alkaline Electrolyte ◽  
Transport Of Ions

A mathematical model was proposed for the transport of ions in a diaphragm separating an acidic and an alkaline electrolyte. Besides an approximate analytical solution, a more exact numerical one was presented. The model permits the calculation of the position of the neutralization zone in the diaphragm, rates of transport of ions, and potential in the diaphragm. The dependence of the position of the neutralization zone on the composition of both electrolytes and on the current density was calculated for two technically important cases.

Sign in / Sign up

Export Citation Format

Share Document