scholarly journals MATHEMATICAL ANALYSIS OF UNSTEADY MHD BLOOD FLOW THROUGH PARALLEL PLATE CHANNEL WITH HEAT SOURCE

2020 ◽  
Vol 5 (1) ◽  
pp. 40-50
Author(s):  
M.V. Surseh ◽  
P. Sekar
Keyword(s):  
Mathematical Model ◽  
Blood Flow ◽  
Numerical Model ◽  
Heat Source ◽  
Prandtl Number ◽  
Mathematical Analysis ◽  
Parallel Plate ◽  
Flow Through ◽  
Fractional Differential ◽  
Plate Channel

A mathematical model of flimsy blood move through parallel plate channel under the action of a connected steady transverse attractive field is proposed. The model is subjected to warm source. Expository articulations are gotten by picking the hub speed; temperature dispersion and the typical speed of the blood rely upon y and t just to change over the arrangement of fractional differential conditions into an arrangement of normal differential conditions under the conditions characterized in our model. The model has been breaking down to discover the impacts of different parameters, for example, Hart-mann number, warm source parameter and Prandtl number on the hub speed, temperature circulation, and the ordinary speed. The numerical arrangements of pivotal speed, temperature conveyances, and typical speed are demonstrated graphically for better comprehension of the issue. Subsequently, the present numerical model gives a straightforward type of pivotal speed, temperature circulation and typical speed of the bloodstream so it will help not just individuals working in the field of Physiological liquid elements yet in addition to the restorative professionals.

scholarly journals A study of effects of heat source on MHD blood flow through bifurcated arteries

AIP Advances ◽  
2011 ◽  
Vol 1 (4) ◽  
pp. 042128 ◽  
Author(s):  
Om Prakash ◽  
S. P. Singh ◽  
Devendra Kumar ◽  
Y. K. Dwivedi
Keyword(s):  
Blood Flow ◽  
Heat Source ◽  
Flow Through

Heat Transportation by an Oscillatory Flow Through a Parallel-Plate Channel With an Inserted Slanting Plate

2007 ◽  
Author(s):  
Yoshihisa Ishii ◽  
Xiaojin Zhang ◽  
Makoto Hishida
Keyword(s):  
Parallel Plate ◽  
Oscillatory Flow ◽  
Electronic Devices ◽  
Tidal Amplitude ◽  
Womersley Number ◽  
Flow Component ◽  
Directional Flow ◽  
Transportation Channel ◽  
Flow Through ◽  
Plate Channel

Heat transportation devices with small size and high transportation rate are highly required for achieving effective cooling of electronic devices and equipments. Heat transportation devices exploiting reciprocal flow are considered as one of important candidate technologies. Since a heat transportation pipe exploiting reciprocal flow was invented by Kurzweg and Zhao[1], many researchers have attempted to improve its performance. In the present paper we proposed a new concept of heat transportation channel which was a parallel-plate channel with a slanting plate inserted. The slanting plate separated the parallel-plate channel into two tapered channels. We analyzed numerically the heat transportation performance of the channel when a reciprocal flow was given at one end of the channel. Womersley number Wo was varied in a range of 7≤ Wo ≤40 and Remax in a range of 100≤ Remax ≤1300, by changing the tidal amplitude Am of the reciprocal flow from 0.005 to 0.102 m and reciprocal frequency from 0.07 to 2.56Hz. The present study was summarized in the followings: (1) In the present channel, oscillatory flow comprised of a reciprocal flow component superimposed on a one-directional flow component was induced. (2) u-velocity profiles in pushing phase and in pulling phase were not symmetrical when Wo was relatively small or Remax was large. They approached symmetrical profile in large Wo range and in small Remax range. (3) The time-averaged flow rate V remained almost constant in the Wo range from 7 to 20. They decreased with increasing Wo beyond 20. It also decreased with decreasing Remax. (4) Heat transportation rate Q and heat transportation efficiency η decreased with increasing Wo and decreasing Remax. (5) Work rate W increased with increasing Wo and Remax. (6) The present heat transportation channel was able to transport about 5 to 13 times the heat with 1.4 to 4 times the efficiency by only inserting a slanting plate in a hollow parallel-plate channel.

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