The effect of a non-linear basic temperature profile on the forced flow of a viscous liquid non-uniformly heated from below

1965 ◽  
Vol 23 (02) ◽  
pp. 385 ◽  
Author(s):  
P. van den Driessche

A liquid is contained in a cylindrical vessel and is subject to heating on the horizontal base of the vessel. The problem of the forced flow arising from the heating has been investigated in the case when the heating function is symmetrically arranged about the central axis. It is found that the relative forced flow tends to become zonal in character when the vessel rotates at a sufficiently high angular velocity. This relative zonal motion is principally in the direction of the rotation except near the outer portion of the fluid where it is in the opposite direction, the former being ‘westerlies’, the latter ‘easterlies’. The easterlies are due to the non-linear inertia terms in the equations of motion. This description of the velocity field is used because the experiment described above has considerable meteorological significance.


1964 ◽  
Vol 6 (3) ◽  
pp. 258-263 ◽  
Author(s):  
L. A. Newbery

An exact solution is presented for the forced flow of a viscous liquid through a concentric annulus in which the fluid temperature is increased and the viscosity decreased by rotation of the inner boundary. Such a solution has not previously appeared in the published literature. Some practical applications are mentioned.


Author(s):  
Amit Mahajan ◽  
Vinit Kumar Tripathi

Investigation of the onset of thermosolutal convection with chemical reaction is carried out for different types of basic temperature and concentration gradients using linear theory and energy method. An unconditional non-linear stability with exponential decay of finite amplitude perturbations is achieved and the Galerkin technique is utilized to solve the resulting Eigen-value problem obtained from linear and non-linear analysis. The numerical scheme is validated with existing results and the results are obtained for linear, parabolic, inverted parabolic, piecewise linear, oscillatory and step-function profiles of temperature and concentration gradients. The linear and non-linear results show the existence of subcritical instability.


2005 ◽  
Vol 4 (1) ◽  
Author(s):  
M. R. Scariot ◽  
M. I. Berto ◽  
V. Silveira

Experimental measurement can be made only of inlet and outlet global temperature of plate heat exchanger (PHE), therefore the temperature profile along of a PHE is hardly ever known. The goal of this work was to evaluate the influence of a non-Newtonian behavior of pectin solution in the temperature response curves along of the PHE. The results were obtained using a simulation codified in Matlab 6.1 software. The response curves resulted from the simulations were fitted to models for identification and characterization of the system linearity. The result shows a clear non-linear behavior of the response curves along the PHE.


2005 ◽  
Vol 4 (1) ◽  
pp. 30
Author(s):  
M. R. Scariot ◽  
M. I. Berto ◽  
V. Silveira

Experimental measurement can be made only of inlet and outlet global temperature of plate heat exchanger (PHE), therefore the temperature profile along of a PHE is hardly ever known. The goal of this work was to evaluate the influence of a non-Newtonian behavior of pectin solution in the temperature response curves along of the PHE. The results were obtained using a simulation codified in Matlab 6.1 software. The response curves resulted from the simulations were fitted to models for identification and characterization of the system linearity. The result shows a clear non-linear behavior of the response curves along the PHE.


2014 ◽  
Vol 54 (2) ◽  
pp. 023008 ◽  
Author(s):  
J. Citrin ◽  
F. Jenko ◽  
P. Mantica ◽  
D. Told ◽  
C. Bourdelle ◽  
...  

Author(s):  
M. Gnaneswara Reddy ◽  
M.V.V.N.L. Sudha Rani ◽  
C. Prasannakumara

Abstract A two dimensional (2D) boundary layer two-phase MHD (magneto hydrodynamics) flow of Maxwell and Oldroyd-B fluid over a stretching sheet has been explored. Heat and mass transfer phenomena is inspected through Non-linear radiation, viscous dissipation, joule heating, Soret (thermo-diffusion) and Dufour (diffusion-thermo) Impact. The boundary layer governing differential equations are modelled and transformed to a system of ODE’S with the aid of similarity transformations. The final controlled equations along boundary restrictions are resolved numerically by Runge-Kutta Felhberg method. The graphical analysis has been emphasized for the fluid and dust phase velocity, temperature and concentration fields to the influence of sundry dynamical flow quantities. Furthermore, for authentication of the present computation, the achieved results are distinguished with earlier research works in specific cases and marvellous agreement has been noted. The outcomes conveyed here manifest that velocity and boundary layer thickness escalate with boost up the values of ${K_1}$ . Velocity and boundary layer thickness declines with boost up the values of $M$ . Opposite trend is seen in temperature and concentration profiles. The specific heat ratio parameter $\gamma$ enhances the temperature profile declines. Boost up the values of Soret number $Sr$ temperature profile declines and concentration profile enhances. Skin friction factor declines with increasing values $\beta _v$ verses $M$ .


2009 ◽  
Vol 2009 ◽  
pp. 1-11 ◽  
Author(s):  
M. N. Mahmud ◽  
R. Idris ◽  
I. Hashim

The combined effects of a uniform vertical magnetic field and a nonuniform basic temperature profile on the onset of steady Marangoni convection in a horizontal layer of micropolar fluid are studied. The closed-form expression for the Marangoni numberMfor the onset of convection, valid for polynomial-type basic temperature profiles upto a third order, is obtained by the use of the single-term Galerkin technique. The critical conditions for the onset of convection have been presented graphically.


2021 ◽  
Vol 1 (1) ◽  
Author(s):  
Dino Zrnić ◽  
Günter Brenn

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