Mathematical Modelling in Fluid Flow

1994 ◽  
pp. 241-244
Author(s):  
A. W. Bush ◽  
R. Mattheys
Keyword(s):  
Fluid Flow ◽  
Mathematical Modelling

Mathematical modelling of fluid flow and mixing in tangentially fired furnaces

1985 ◽  
Vol 20 (1) ◽  
pp. 549-557 ◽  
Author(s):  
W. Benesch ◽  
H. Kremer
Keyword(s):  
Fluid Flow ◽  
Mathematical Modelling

scholarly journals Mathematical modelling of fluid flow and solute transport to define operating parameters for in vitro perfusion cell culture systems

2020 ◽  
Vol 10 (2) ◽  
pp. 20190045 ◽  
Author(s):  
Lauren Hyndman ◽  
Sean McKee ◽  
Nigel J. Mottram ◽  
Bhumika Singh ◽  
Steven D. Webb ◽  
...  
Keyword(s):  
Cell Culture ◽  
Fluid Flow ◽  
Mathematical Modelling ◽  
Solute Transport ◽  
Computational Modelling ◽  
Operating Parameters ◽  
Perfusion Cell Culture ◽  
Culture Systems ◽  
Cell Culture Systems

In recent years, there has been a move away from the use of static in vitro two-dimensional cell culture models for testing the chemical safety and efficacy of drugs. Such models are increasingly being replaced by more physiologically relevant cell culture systems featuring dynamic flow and/or three-dimensional structures of cells. While it is acknowledged that such systems provide a more realistic environment within which to test drugs, progress is being hindered by a lack of understanding of the physical and chemical environment that the cells are exposed to. Mathematical and computational modelling may be exploited in this regard to unravel the dependency of the cell response on spatio-temporal differences in chemical and mechanical cues, thereby assisting with the understanding and design of these systems. In this paper, we present a mathematical modelling framework that characterizes the fluid flow and solute transport in perfusion bioreactors featuring an inlet and an outlet. To demonstrate the utility of our model, we simulated the fluid dynamics and solute concentration profiles for a variety of different flow rates, inlet solute concentrations and cell types within a specific commercial bioreactor chamber. Our subsequent analysis has elucidated the basic relationship between inlet flow rate and cell surface flow speed, shear stress and solute concentrations, allowing us to derive simple but useful relationships that enable prediction of the behaviour of the system under a variety of experimental conditions, prior to experimentation. We describe how the model may used by experimentalists to define operating parameters for their particular perfusion cell culture systems and highlight some operating conditions that should be avoided. Finally, we critically comment on the limitations of mathematical and computational modelling in this field, and the challenges associated with the adoption of such methods.

Mathematical modelling of fluid flow models

2016 ◽  
Author(s):  
Rashid Ahmad
Keyword(s):  
Fluid Flow ◽  
Mathematical Modelling ◽  
Flow Models

Mathematical Modelling of Carbon Nanotube with Fluid Flow using Keller Box Method: A Vibrational Study

2016 ◽  
Vol 3 (3) ◽  
pp. 1689-1701 ◽  
Author(s):  
A. A. Ahmadi Asoor ◽  
P. Valipour ◽  
S. E. Ghasemi ◽  
D. D. Ganji
Keyword(s):  
Fluid Flow ◽  
Carbon Nanotube ◽  
Mathematical Modelling ◽  
Keller Box Method ◽  
Vibrational Study ◽  
Box Method

Mathematical modelling of couple stresses on fluid flow in constricted tapered artery in presence of slip velocity-effects of catheter

2014 ◽  
Vol 35 (8) ◽  
pp. 947-958 ◽  
Author(s):  
J. V. R. Reddy ◽  
D. Srikanth ◽  
S. K. Murthy
Keyword(s):  
Fluid Flow ◽  
Mathematical Modelling ◽  
Slip Velocity ◽  
Couple Stresses ◽  
Tapered Artery

Effect of snorkel shape on the fluid flow during RH degassing process: mathematical modelling

2016 ◽  
Vol 45 (2) ◽  
pp. 145-156 ◽  
Author(s):  
H. Ling ◽  
L. Zhang ◽  
C. Liu
Keyword(s):  
Fluid Flow ◽  
Mathematical Modelling

scholarly journals Mathematical modelling of fluid flow processes in the fracture-porous reservoir

2018 ◽  
Vol 1096 ◽  
pp. 012187
Author(s):  
Yu O Bobreneva ◽  
A A Mazitov ◽  
I M Gubaydullin
Keyword(s):  
Fluid Flow ◽  
Mathematical Modelling ◽  
Flow Processes ◽  
Porous Reservoir

Mathematical modelling of fluid flow inside trumpet-shaped ladle shrouds

2017 ◽  
Vol 44 (10) ◽  
pp. 732-738 ◽  
Author(s):  
Jiangshan Zhang ◽  
Shufeng Yang ◽  
Maoyin Li ◽  
Zhixin Chen ◽  
Zhengyi Jiang ◽  
...  
Keyword(s):  
Fluid Flow ◽  
Mathematical Modelling
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