First integrals of equations of motion of a droplet in the presence of mass transfer to the carrier medium

2009 ◽  
Vol 47 (4) ◽  
pp. 580-588
Author(s):  
T. R. Amanbaev
2019 ◽  
Vol 8 (4) ◽  
pp. 1966-1970

A parametric study to investigate the effect of chemical reaction parameter on an MHD mixed convective mass transfer flow of an incompressible viscous electrically conducting fluid past an infinite vertical porous plate. The equations of motion are work out by assuming Laplace Transform approach. The velocity profile, temperature, concentration, viscous drag, Nusselt number and the rate of mass transfer are discussed graphically by assuming some arbitrary criterion given in the present paper and physical descriptions are made. It is emphasized from the graphical portion that chemical species retards the fluid flow


2015 ◽  
Vol 38 ◽  
pp. 1560072 ◽  
Author(s):  
Ugur Camci

In this study, we obtain Noether gauge symmetries of geodesic motion for geodesic Lagrangian of stationary and nonstatic Gödel-type spacetimes, and find the first integrals of corresponding spacetimes to derive a complete characterization of the geodesic motion. Using the obtained expressions for [Formula: see text] of each spacetimes, we explicitly integrate the geodesic equations of motion for the corresponding stationary and nonstatic Gödel-type spacetimes.


2002 ◽  
Vol 57 (11) ◽  
pp. 863-873 ◽  
Author(s):  
Nabil T. El Dabe ◽  
Galal M. Moatimid ◽  
Hoda S. M. Ali

In this paper, the problem of heat and mass transfer due to the steady motion of a Rivlin- Ericksen fluid in tubes of varying cross-section is considered. Suction at tube walls is taken into account. Under the assumption that the deformations of the boundaries are small, the equations of motion have been solved by using a perturbation technique. The temperature and concentration distributions are obtained. The effects of various physical parameters are discussed. The Nusselt and Sherwood numbers are obtained. A set of figures for a quantitative illustration is presented.


Author(s):  
Rodolfo Espindola-Heredia ◽  
Gabriela Del Valle ◽  
Damián Muciño-Cruz ◽  
Guadalupe Hernandez-Morales

In the children's movie The Incredibles there is a scene where Mr Incredible faces Bomb Voyage, while Incredi Boy wants to help Mr Incredible, Incredi Boy flies with Mr Incredible, who holds on to the hero's cloak, affecting Incredi Boy’s flight plan. To understand how an oscillatory movement affects non-oscillatory movement, an experimental prototype was constructed with a particle of mass m, attached to a rigid rod and without mass of length l, to a swivel of negligible mass, which was subject to a mass M. The swivel always remained on a horizontal plane, allowing the oscillatory movement of mass m. Experimental results were obtained by means of wireless sensors which recorded the spatial coordinates of the mass m. Using Lagrangian mechanics we obtained the equations of motion and expressed the possible first integrals of movement, when the movement of the mass M was: linear uniform (ULM), uniformly accelerated, (UAM), uniform circular (UCM), accelerated circular (ACM) and forced circular (FCM). The dynamics were analyzed, the equations of movement obtained, they were solved numerically, and the experimental results were compared to theoretical and numerical results.


A parametric study to inspect the effect of heat and mass transfer characteristics with Hall current and radiation past a uniformly accelerated porous plate is prepared. The equations of motion are simplified by using the technique of Laplace transformation. The flow characteristics with viscous drag, Nusselt number and Sherwood number are conferred through different graphs by taking some subjective conditions given in the present paper and physical interpretations are described. It is highlited from graphical section that the rising of Prandtl number and heat radiation trim down the temperature profile gradually


Author(s):  
Nikolay Makeyev ◽  

Criteria for the existence of certain types of algebraic first integrals of the equation of motion of a mechanical system of variable mass composition and variable configuration are given. The carrier body of the system (base body) rotates around a fixed pole in a stationary homogeneous gravity field under the influence of specified nonstationary forces. The types of partial integrals are indicated and restrictions are established that determine their existence.


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