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Results overview:
Found
12
records in 0.02 seconds.
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,
1
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,
11
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Articles
1
records found
1.
16 p, 872.5 KB
Modelling the cardiovascular system for assessing the blood pressure curve
/
Myers, T. G.
(Centre de Recerca Matemàtica) ;
Ribas Ripoll, Vicent
(Centre de Recerca Matemàtica) ;
Sáez de Tejada Cuenca, Anna
(Centre de Recerca Matemàtica) ;
Mitchell, Sarah L.
(University of Limerick. Department of Mathematics and Statistics)
;
McGuinness, Mark J.
(Victoria University of Wellington. Statistics and Operations Research)
A four compartment model of the cardiovascular system is developed. To allow for easy interpretation and to minimise the number of parameters, an effort was made to keep the model as simple as possible. [...]
2017 -
10.1155/2017/9015914
Mathematics-in-industry case studies
,
Vol. 8 (April 2017)
, art. 2
Detailed record
-
Research literature
11
records found 1 - 10
jump to record:
1.
20 p, 315.2 KB
One-dimensional solidification of supercooled melts
/
Font Martínez, Francesc
;
Myers, T. G.
;
Mittchell, Sara L.
;
Centre de Recerca Matemàtica
In this paper a one-phase supercooled Stefan problem, with a nonlinear relation between the phase change temperature and front velocity, is analysed. The model with the standard linear approximation, valid for small supercooling, is first examined asymptotically. [...]
Centre de Recerca Matemàtica 2012 (
Prepublicacions del Centre de Recerca Matemàtica ; 1126
)
Detailed record
-
2.
25 p, 402.3 KB
Extensional flow of nematic liquid crystal under electric field gradient
/
Cummings, L. J.
;
Myers, T. G.
;
Low, J.
;
Centre de Recerca Matemàtica
Systematic asymptotic methods are used to formulate a model for the extensional flow of a thin sheet of nematic liquid crystal. With no external body forces applied, the model is found to be equivalent to the so-called Trouton model for Newtonian sheets (and fi bers), albeit with a modi fied "Trouton ratio". [...]
Centre de Recerca Matemàtica 2011 (
Prepublicacions del Centre de Recerca Matemàtica ; 1016
)
Detailed record
-
3.
32 p, 372.7 KB
An approximate solution method for boundary layer flow of a power law fluid over a flat plate
/
Myers, T. G.
;
Centre de Recerca Matemàtica
The work in this paper deals with the development of momentum and thermal boundary layers when a power law fluid flows over a flat plate. At the plate we impose either constant temperature, constant flux or a Newton cooling condition. [...]
Centre de Recerca Matemàtica 2011 (
Prepublicacions del Centre de Recerca Matemàtica ; 1030
)
Detailed record
-
4.
21 p, 383.5 KB
Contact melting of a three-dimensional phase change material on a flat substrate
/
De Decker, Michelle M.
;
Myers, T. G.
;
Centre de Recerca Matemàtica
In this paper a model is developed to describe the three dimensional contact melting process of a cuboid on a heated surface. The mathematical description involves two heat equations (one in the solid and one in the melt), the Navier-Stokes equations for the flow in the melt, a Stefan condition at the phase change interface and a force balance between the weight of the solid and the countering pressure in the melt. [...]
Centre de Recerca Matemàtica 2011 (
Prepublicacions del Centre de Recerca Matemàtica ; 1021
)
Detailed record
-
5.
26 p, 309.4 KB
Improving the accuracy of heat balance integral methods applied to thermal problems with time dependent boundary conditions
/
Mitchell, Sarah L.
;
Myers, T. G.
;
Centre de Recerca Matemàtica
In this paper the two main drawbacks of the heat balance integral methods are examined. Firstly we investigate the choice of approximating function. For a standard polynomial form it is shown that combining the Heat Balance and Refined Integral methods to determine the power of the highest order term will either lead to the same, or more often, greatly improved accuracy on standard methods. [...]
Centre de Recerca Matemàtica 2011 (
Prepublicacions del Centre de Recerca Matemàtica ; 1013
)
Detailed record
-
6.
23 p, 267.7 KB
An approximate mathematical model for solidification of a flowing liquid in a microchannel
/
Myers, T. G.
;
Low, J.
;
Centre de Recerca Matemàtica
A mathematical model is developed to analyse the combined flow and solidification of a liquid in a small pipe or two-dimensional channel. In either case the problem reduces to solving a single equation for the position of the solidification front. [...]
Centre de Recerca Matemàtica 2011 (
Prepublicacions del Centre de Recerca Matemàtica ; 1011
)
Detailed record
-
7.
24 p, 236.1 KB
Application of the combined integral method to Stefan problems
/
Myers, T. G.
;
Mitchell, Sarah L.
;
Centre de Recerca Matemàtica
In this paper we present a new, accurate form of the heat balance integral method, termed the Combined Integral Method (or CIM). The application of this method to Stefan problems is discussed. For simple test cases the results are compared with exact and asymptotic limits. [...]
Centre de Recerca Matemàtica 2011 (
Prepublicacions del Centre de Recerca Matemàtica ; 1010
)
Detailed record
-
8.
7 p, 120.7 KB
Why are slip lengths so large in carbon nanotubes?
/
Myers, T. G.
;
Centre de Recerca Matemàtica
The enhanced flow in carbon nanotubes is explained using a mathematical model that includes a depletion layer with reduced viscosity near the wall. In the limit of large tubes the model predicts no noticeable enhancement. [...]
Centre de Recerca Matemàtica 2010 (
Prepublicacions del Centre de Recerca Matemàtica ; 961
)
Detailed record
-
9.
36 p, 333.6 KB
Application of standard and refined heat balance integral methods to one-dimensional Stefan problems
/
Mitchell, Sarah L.
;
Myers, T. G.
;
Centre de Recerca Matemàtica
The work in this paper concerns the study of conventional and refined heat balance integral methods for a number of phase change problems. These include standard test problems, both with one and two phase changes, which have exact solutions to enable us to test the accuracy of the approximate solutions. [...]
Centre de Recerca Matemàtica 2010 (
Prepublicacions del Centre de Recerca Matemàtica ; 930
) -
10.1137/080733036
Detailed record
-
10.
22 p, 207.0 KB
Modelling the cooling of concrete by piped water
/
Myers, T. G.
;
Fowkes, N. D.
;
Ballim, Y.
;
Centre de Recerca Matemàtica
Piped water is used to remove hydration heat from concrete blocks during construction. In this paper we develop an approximate model for this process. The problem reduces to solving a one-dimensional heat equation in the concrete, coupled with a first order differential equation for the water temperature. [...]
Centre de Recerca Matemàtica 2010 (
Prepublicacions del Centre de Recerca Matemàtica ; 921
)
Detailed record
-
Research literature :
11
records found 1 - 10
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See also: similar author names
12
Myers, T. G.
1
Myers, Tashanna
2
Myers, Timothy
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