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PRODUCT OF SOME SPECIAL FUNCTIONS ASSOCIATE BY MARICHEV –
SAIGO –MAEDA FRACTIONAL INTEGRAL OPERATORS
Hemlata Saxena
Abstract:
In this paper we introduce generalized fractional calculus operators
which involves the Appell’s function
F3 .
to the product of the
H -function, generalized Mittag Leffler function and generalized
polynomial set. In this we have considered some special cases of our
main results. Some known fractional integrals and derivatives are
also included in it.
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1-9
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EFFECT OF THERMAL MODULATION ON THE ONSET OF CONVECTION IN
WALTERS B VISCOELASTIC FLUID SATURATED POROUS MEDIUM
PRAKASH H N
Abstract:
The linear stability of Walters B viscoelastic fluid saturated horizontal
porous layer is examined theoretically when the walls of the porous layer are subjected to
time-periodic temperature modulation. Three types of boundary temperature modulations
namely, symmetric, asymmetric and lower wall temperature modulation is considered. A
regular perturbation method based on small amplitude of applied temperature field is used
to compute the critical values of Rayleigh number and the corresponding wave number.
The shift in critical Rayleigh number is calculated as a function of modulation frequency,
viscoelastic parameter and Prandtl number. The effect of all three types of modulations is
found to be destabilizing as compared to the unmodulated system. This result is in contrast
to the system with other types of fluids. Besides, the influence of physical parameters on
the control of convective instability of the system is discussed.
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10-28
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ON SOFT ARS CONTINUOUS MAPPINGS IN SOFT
TOPOLOGICAL SPACES
P. ANBARASI RODRIGO
Abstract:
In this paper, We introduce a new class of continuous functions called Soft ARS
continuous functions and discuss their relation with various forms of Soft continuous
functions. Further We study the characterizations of Soft ARS continuous functions
and reveal the impact of Soft ARS closure and Soft ARS interior in those
characterizations. Also We establish Soft ARS irresolute and compare it with Soft
ARS continuous functions.
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29-47
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Mathematical Modeling on Peristaltic Transport of Two Layered
Viscous Incompressible Fluid in Relation to Varying Wall Moment
Sathisha A B
Abstract:
The present paper concerns study of peristaltic transport in relation to
temperature effect and varying wall moment. A two layered peristaltic fluid
flow model is employed in estimating the physiological flow parameters
(velocity, flux, limitation of flux). Peristaltic flows are assumed to be the
propagation waves along the flexible walls which can be compared with the
transport of blood within the small blood vessels. The elasticity of varying
wall consists of distensibility of the layer. The wall of the tube in a man is
accounted for four coats and three neural mechanisms. The coats namely
serous, muscular submucus and mucus play a role in the forward propulsion
and the excellent lubricant. Therefore a series of contractions of the
progressive waves enable the fluid to be transported under the peristaltic
action. The resulting wave is sinusoidal due to the longitudinal and
transverse moments produced by muscular fibers. The amplitude of the
traveling wave on the elastic wall is so large that at the narrowest point the
wall is pressed by each other. Numerical method is employed for the
analytical expression as series form and the corresponding flow rate is
studied in relation to peripheral circulation.
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48-57
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Mathematical Analysis of Peristaltic Transport with a Reference To
Casson Fluid
Ashwini M Rao
Abstract:
The present study deals withPeristaltic transport of biofluid
to compare the variations of velocity profiles using Casson fluid. The
mathematical model is proposed to analyze the function of flux
transported in the presence of yield stress. The axisymmetric flow is
considered for contraction and expansion of peristaltic wave. The
pressure rise and the velocity change are with a reference to rise in
the shear when the fluid is subjected for peristaltic wave formations
in the gastrointestinal tract.
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58-67
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EFFECTS OF OUTDOOR ACTIVITIES AND ADVANCE ORGANIZER
TEACHING STRATEGIES ON STUDENTS’ ACADEMIC PERFORMANCE IN
SECONDARY SCHOOL BASIC SCIENCE IN EKITI STATE
PROF. OWOLABI, O. T.
Abstract:
The study investigated the effects of Outdoor Activities and Advance Organizer teaching strategies on
students’ academic performance in secondary school Basic Science in Ekiti State, Nigeria. Specifically, the
study was designed to ascertain the difference in the performance of students exposed to Outdoor Activities,
Advance Organizer and Conventional teaching strategies. The study also investigated the difference in the
performance of students exposed to those strategies based on gender. The study adopted non-equivalent pre-test post-test design. The population consisted of 12, 033 Basic Science students in Ekiti State while the
sample consisted of 138 J.S.1 students (intact class size) drawn from three public secondary schools in the
three Senatorial Districts of Ekiti State. The sample was selected using multistage sampling procedure. The
research instrument ‘Basic Science Performance Test (BSPT)’ was used to collect relevant data for this
study. The face and content validity of the instrument was ensured while the reliability of the instrument was
determined using split-half which yielded reliability co-efficient of 0.7872. The data were analyzed using
inferential statistics of t-test, Analysis of Variance (ANOVA), Analysis of Covariance (ANCOVA) and
Multiple Classification Analysis (MCA), all at 0.05 level of significance. The findings of the study showed
that the three groups (Outdoor Activities, Advance Organizer and Conventional) were homogenous at the
commencement of the experiment. The use of Outdoor Activities and Advance Organizer teaching enhanced
performance of students in Basic Science than the Conventional strategy. However, Outdoor Activities and
Advance Organizer are not gender biased. Based on the findings of the study, it was recommended among
others that the use of Outdoor Activities and Advance Organizer teaching strategies should be encouraged in
Basic Science class in Junior Secondary Schools so as to enhance academic performance of students in Basic
Science. It was also recommended that Basic Science teachers should update their knowledge so as to
accommodate the use of Outdoor Activities and Advance Organizer teaching strategies.
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86-103
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