ORIGINAL_ARTICLE
UNSTEADY CONVECTIVE DIFFUSION IN A HERSCHEL–BULKLEY FLUID IN A CONDUIT WITH INTERPHASE MASS TRANSFER
The combined effect of non-Newtonian rheology and irreversible boundary reaction on dispersion in a Herschel-Bulkley fluid through a conduit (pipe/channel) is studied by using generalized dispersion model. The study explains the development of dispersive transport following the injection of a tracer in terms of three effective transport coefficients namely exchange, convective and dispersion coefficients. It is found that the exchange coefficient does not depend on yield stress and power law index but the convective and dispersion coefficients depend on yield stress and power law index.
http://ijm2c.iauctb.ac.ir/article_521797_50c953122ab71d180922476905b16469.pdf
2016-06-21T11:23:20
2020-03-30T11:23:20
159
179
Generalized Dispersion model
Non Newtonian fluid
power index
G.
Sarojamma
true
1
Department of Applied Mathematics, Sri Padmavati Mahila Visvavidyalayam, Tirupati, A.P., India
India
Department of Applied Mathematics, Sri Padmavati Mahila Visvavidyalayam, Tirupati, A.P., India
India
Department of Applied Mathematics, Sri Padmavati Mahila Visvavidyalayam, Tirupati, A.P., India
India
AUTHOR
B.
Ramana
true
2
Dept. of Applied Mathematics Sri Padmavati Mahila Visvavisyalayam Tirupati - 517502 Andhra Pradesh INDIA
India
Dept. of Applied Mathematics Sri Padmavati Mahila Visvavisyalayam Tirupati - 517502 Andhra Pradesh INDIA
India
Dept. of Applied Mathematics Sri Padmavati Mahila Visvavisyalayam Tirupati - 517502 Andhra Pradesh INDIA
India
AUTHOR
ORIGINAL_ARTICLE
AN ANALYTICAL SOLUTION FOR DIFFUSION AND NONLINEAR UPTAKE OF OXYGEN IN THE RETINA
A simple mathematical model of steady state oxygen distribution subject to diffusive transport and non- linear uptake in a retinal cylinder has been developed. The approximate analytical solution to a reaction- diffusion equation are obtained by using series expansions. The computational results for the scaled variables are presented through graphs. The effect of the important parameters (1) diffusion coefficient (2) metabolic rate constant (3) retinal capillary concentration are examined and discussed.
http://ijm2c.iauctb.ac.ir/article_521798_f31168e73a8e1e2fc1bfd5db8f7faa8e.pdf
2016-06-21T11:23:20
2020-03-30T11:23:20
181
188
Oxygen diffusion
Michaelis-Menten Kinetics
Taylor series
Deepti
Seth
true
1
AUTHOR
ORIGINAL_ARTICLE
APPLICATION OF THE SINGULAR BOUNDARY VALUE PROBLEM FOR INVESTIGATION OF PISTON DYNAMICS UNDER POLYTROPIC EXPANSION PROCESS
In this paper a mathematical simulation of a simplified internal combustion engine is presented. To contribute engine kinematics and its geometry, simple relations are derived for constrained motions. The equation of motion for the piston forms a singular boundary value problem. The uniqueness of the solution was studied in the Banach space. For solving governing equations an iterative numerical algorithm was used and the numerical method has shown very fast convergency. With this simulation the thermodynamics of expansion process is coupled with piston dynamics. Simulating an engine working at constant torque and polytropic expansions has shown high frequency piston vibration under certain conditions.
http://ijm2c.iauctb.ac.ir/article_521799_63b3340116e1c8d0626b5847eadac414.pdf
2016-06-21T11:23:20
2020-03-30T11:23:20
189
197
Banach space
internal combustion engine
polytropic expansion
singular boundary value problem
B.
Mehri
true
1
Iran, Islamic Republic of
Iran, Islamic Republic of
Iran, Islamic Republic of
AUTHOR
A.
Zahedi Nejad
true
2
Iran, Islamic Republic of
Iran, Islamic Republic of
Iran, Islamic Republic of
AUTHOR
ORIGINAL_ARTICLE
MAXIMAL ALLOCATED BENEFIT AND MINIMAL ALLOCATED COST AND ITS APPLICATION
In this paper, we investigate the problems of consensus-making among institution in stock exchange with multiple criteria for evaluating performance when the players (institutions) are supposed to be egoistic and the score for each criterion for a player is supposed to be a positive score. Each player sticks to his superiority regarding the criteria. This paper introduces the models for computing minimal cost ratio and the maximal benefit for institutions.
http://ijm2c.iauctb.ac.ir/article_521800_d41d8cd98f00b204e9800998ecf8427e.pdf
2016-06-21T11:23:20
2020-03-30T11:23:20
199
210
Cooperative Game
DEA
Game Theory
stock exchange
Weight selection
M.
Mansouri Kaleibar
true
1
Young Researchers Club, Tabriz Branch, Islamic Azad University, Tabriz, Iran
Iran, Islamic Republic of
Young Researchers Club, Tabriz Branch, Islamic Azad University, Tabriz, Iran
Iran, Islamic Republic of
Young Researchers Club, Tabriz Branch, Islamic Azad University, Tabriz, Iran
Iran, Islamic Republic of
AUTHOR
S.
Daneshvar
true
2
AUTHOR
ORIGINAL_ARTICLE
APPROXIMATION OF 3D-PARAMETRIC FUNCTIONS BY BICUBIC B-SPLINE FUNCTIONS
In this paper we propose a method to approximate a parametric 3
D-function by bicubic B-spline functions
http://ijm2c.iauctb.ac.ir/article_521801_aa4ccacff832beb41839ed90f5486c3f.pdf
2016-06-21T11:23:20
2020-03-30T11:23:20
211
220
Bicubic functions
parametric functions
B-splines
M.
Amirfakhrian
true
1
Islamic Azad University, Central Tehran Branch
Islamic Azad University, Central Tehran Branch
Islamic Azad University, Central Tehran Branch
AUTHOR
ORIGINAL_ARTICLE
AN APPLICATION OF TRAJECTORIES AMBIGUITY IN TWO-STATE MARKOV CHAIN
In this paper, the ambiguity of nite state irreducible Markov chain trajectories is reminded and is obtained for two state Markov chain. I give an applicable example of this concept in President election
http://ijm2c.iauctb.ac.ir/article_521802_d5fa27c7a22f5a2e0a86e1fc575e7fb3.pdf
2016-06-21T11:23:20
2020-03-30T11:23:20
221
229
Markov chain
Shannon's entropy
Shannon's entropy rate
Stationary
M.
Khodabin
true
1
AUTHOR
ORIGINAL_ARTICLE
ABS METHOD FOR SOLVING FUZZY SYLVESTER MATRIX EQUATION
The main aim of this paper intends to discuss the solution of fuzzy Sylvester matrix equation
http://ijm2c.iauctb.ac.ir/article_521803_413653e56be02e3b653368ce20b0fcc9.pdf
2016-06-21T11:23:20
2020-03-30T11:23:20
231
237
Fuzzy Sylvester matrix equation
fuzzy number
ABS algorithm
Huang algorithm
M. A.
Fariborzi Araghi
true
1
Islamic Azad University, Central Tehran Branch, Iran
Department of Mathematics
Islamic Azad University, Central Tehran Branch, Iran
Department of Mathematics
Islamic Azad University, Central Tehran Branch, Iran
Department of Mathematics
AUTHOR
M.
Hosseinzadeh
true
2
Iran, Islamic Republic of
Iran, Islamic Republic of
Iran, Islamic Republic of
AUTHOR
ORIGINAL_ARTICLE
APPLICATION OF THE SINC APPROXIMATION TO THE SOLUTION OF BRATU'S PROBLEM
In this work, we study the performance of the sinc-Collocation method for solving Bratu's problem. For different choices of step size, we consider the maximum absolute errors in the solutions at sinc grid points and tabulated in tables. The comparison of the obtained results veri ed that this method converges to the exact solution rapidly and with
http://ijm2c.iauctb.ac.ir/article_521804_c835a08968854eba19ea3223997aaef9.pdf
2016-06-21T11:23:20
2020-03-30T11:23:20
239
246
Sinc function
Sinc-Collocation
Sinc-Galerkin
Boundary value problems
Liouville-Bratu-Gelfand problem
J.
Rashidinia
true
1
Department of Mathematics, Islamic Azad University,Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics, Islamic Azad University,Central Tehran Branch, Iran
Iran, Islamic Republic of
Department of Mathematics, Islamic Azad University,Central Tehran Branch, Iran
Iran, Islamic Republic of
AUTHOR
N.
Taher
true
2
Iran, Islamic Republic of
Iran, Islamic Republic of
Iran, Islamic Republic of
AUTHOR