Table Of ContentSpringer Proceedings in Mathematics & Statistics
Somnath Bhattacharyya
Jitendra Kumar
Koeli Ghoshal Editors
Mathematical
Modeling and
Computational
Tools
ICACM 2018, Kharagpur, India,
November 23–25
Springer Proceedings in Mathematics &
Statistics
Volume 320
Springer Proceedings in Mathematics & Statistics
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Somnath Bhattacharyya Jitendra Kumar
(cid:129) (cid:129)
Koeli Ghoshal
Editors
Mathematical Modeling
and Computational Tools
ICACM 2018, Kharagpur, India,
–
November 23 25
123
Editors
SomnathBhattacharyya Jitendra Kumar
Department ofMathematics Department ofMathematics
Indian Institute of Technology Kharagpur Indian Institute of Technology Kharagpur
Kharagpur, West Bengal, India Kharagpur, West Bengal, India
KoeliGhoshal
Department ofMathematics
Indian Institute of Technology Kharagpur
Kharagpur, West Bengal, India
ISSN 2194-1009 ISSN 2194-1017 (electronic)
SpringerProceedings in Mathematics& Statistics
ISBN978-981-15-3614-4 ISBN978-981-15-3615-1 (eBook)
https://doi.org/10.1007/978-981-15-3615-1
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Contents
Electrokinetic Transport Phenomenon
An Overview on Analytic Expressions for Electrophoretic Velocity
of Rigid Colloids. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 3
Partha P. Gopmandal, Saurabh K. Maurya and Somnath Bhattacharyya
Solute Transport and Mixing Efficiency on Electrokinetic Flow
in a Heterogeneous Microchannel . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 23
Subrata Bera and Somnath Bhattacharyya
Effect of Temperature-Dependent Electrostatic Parameters
on Electroosmotic Flow with Hydrophobic Patches . . . . . . . . . . . . . . . . 39
Sirsendu Sekhar Barman and Somnath Bhattacharyya
Influence of Thermophoresis and Brownian Motion on MHD Mixed
Convective Chemically Reacting Couple Stress Fluid Flow in Porous
Medium Between Parallel Plates . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51
Swapna Jawalkar, Odelu Ojjela and Debasish Pradhan
Modelling of Fluid Flow
Computational Fluid Dynamics Studies of Effect of Blockage
Ratio on Drag . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 73
Vishal Kumar, Vivek Kumar Srivastav and Akshoy Ranjan Paul
Distribution of Two-Dimensional Unsteady Sediment Concentration
in an Open Channel Flow . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 83
Shiv Mohan, Sudip Debnath, Koeli Ghoshal and Jitendra Kumar
Solution to One-Dimensional Diffusion Equation
with Concentration-Dependent Mixing Length. . . . . . . . . . . . . . . . . . . . 91
Punit Jain and Koeli Ghoshal
v
vi Contents
A Study on the Effect of Various Fluid, Flow and Mechanical
Parameters on the Flow of Newtonian Fluid in an Expanding
and Contracting Pipe . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 101
A. Karthik, K. Sashank and T. S. L. Radhika
Unsteady Stagnation Point Nanofluid Flow Over a Stretching Sheet
with Thermal Radiation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115
B. Kumar and G. S. Seth
NewUniversalClassificationofFluidFlowsStructuralComponents .... 129
Yuli D. Chashechkin
Dynamical System Theory of Flow Instability Using the Impulse
and the Frequency Response Approaches . . . . . . . . . . . . . . . . . . . . . . . 151
Tapan K. Sengupta, Soumyo Sengupta and Prasannabalaji Sundaram
Entropy Generation for a Mixed Convection Nanofluid Flow
in an Inclined Channel Filled with Porous Medium with Thermal
Radiation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 171
Lalrinpuia Tlau and Surender Ontela
Numerical Techniques to Physical Problems
Mixed Convection in a Lid-Driven Inclined Cavity with Discrete
Heater on the Lower Wall . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 193
Subhasree Dutta and Somnath Bhattacharyya
Discrete Prey–Predator Model with Square Root Functional
Response Under Imprecise Biological Parameters . . . . . . . . . . . . . . . . . 211
P. Santra and G. S. Mahapatra
Comparison of Explicit and Implicit Finite Difference Schemes
on Diffusion Equation. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 227
Malabika Adak
NumericalSolutionofSpaceandTimeFractionalAdvection–Diffusion
Equation by Meshless Approach . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 239
Hitesh Bansu and Sushil Kumar
Numerical Studies of Blockage in Human Heart . . . . . . . . . . . . . . . . . . 249
Akansh Kumar, Vikash Kumar, Milan Kumar, Aman Kumar,
Vivek Kumar Srivastav, R. Pandey and M. Kumar
Numerical Analysis of Partition Clustering in a High-Temperature
Gradient Region for Suppression of Heat Transfer in Porous
Enclosure . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 255
Jayesh Subhash Chordiya and Ram Vinoy Sharma
Contents vii
Real-Time Numerical Scheme for Crater Geometry Simulation
in Micro-EDM Process. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 265
Nithin Allwayin, Deepak G. Dilip, Satyananda Panda and Jose Mathew
Existence, Bifurcation, and Multiplicity Results for a Class
of n(cid:1)(cid:1)n p-Laplacian System . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 283
Mohan Mallick and Subbiah Sundar
Uniqueness and Asymptotic Behavior of the Solutions to
a Singular Coagulation–Fragmentation Equation. . . . . . . . . . . . . . . . . . 297
Debdulal Ghosh and Jitendra Kumar
Natural Convection Melting of PCM: Numerical Simulation
Techniques and Applications . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 311
Nadezhda S. Bondareva and Mikhail A. Sheremet
Hypersingular Integral Equation Approach for Hydroelastic
Analysis of a Submerged Elastic Plate . . . . . . . . . . . . . . . . . . . . . . . . . . 321
Santanu Koley
Dynamics of Bleustein–Gulyaev (BG) Waves in Smart
Composite Structure. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 331
Juhi Baroi and Sanjeev Anand Sahu
Graph Theory and Optimization
The Inverse Sum Indeg Index for R-Sum of Graphs . . . . . . . . . . . . . . . 347
Amitav Doley and A. Bharali
Neural Network-Based Fuzzy Multi-objective Optimisation
for Efficiency Evaluation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 359
Debasish Roy
Multi-choice Chance-Constrained Programming Problems
Using Genetic Algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 375
D. K. Mohanty, R. K. Jana and M. P. Biswal
The ISI Index of Edge-Semitotal and Total Graphs. . . . . . . . . . . . . . . . 391
A. Mahanta, A. Bharali and J. Buragohain
Four New Operations of Graphs Related to Tensor Product
and Zagreb Indices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 403
J. Buragohain, A. Bharali and A. Mahanta
Some Oscillatory Results for Nonlinear Equation on Time Scales . . . . . 413
Shekhar Singh Negi, Syed Abbas and Muslim Malik
Optimal Investment Decision Model Based on Simplex Algorithm
with Variable Optimal Value Evaluation Process. . . . . . . . . . . . . . . . . . 433
Sanyam Gupta and L. N. Das
viii Contents
Stochastic Modelling and Machine Learning
Asymptotic Theory of Bayes Factor in Stochastic Differential
Equations with Increasing Number of Individuals . . . . . . . . . . . . . . . . . 447
Trisha Maitra and Sourabh Bhattacharya
TextDetectionBasedonTextShapeFeature AnalysiswithIntelligent
Grouping in Natural Scene Images . . . . . . . . . . . . . . . . . . . . . . . . . . . . 467
D. Kavitha and V. Radha
Anthrophilia* Algorithm . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 481
Sujoy Seal
Stochastic Modeling of Earthquake Interevent Counts
(Natural Times) in Northwest Himalaya and Adjoining Regions . . . . . . 495
Sumanta Pasari
Analysis of Three Major Airline Networks of India:
A Complex Network Approach . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 503
Dimpee Baruah and A. Bharali
Electrokinetic Transport Phenomenon
