Mathematics in Engineering Sciences: Novel Theories, Technologies, and Applications

385 Pages·2019·20.359 MB·English

by  Mangey Ram (editor)

Mathematics in
Engineering Sciences
Mathematical Engineering,
Manufacturing, and
Management Sciences
Series Editor:
Mangey Ram, Professor
Department of Mathematics, Computer Science & Engineering,
Graphic Era (Deemed to be University), Dehradun,  India
The aim of this new book series is to publish the research studies and
articles that bring up the latest development and research applied
to mathematics and its applications in the manufacturing and man-
agement sciences areas. Mathematical tool and techniques are the
strength of engineering sciences. They form the common founda-
tion of all novel disciplines as engineering evolves and develops. The
series will include a comprehensive range of applied mathematics and
its application in engineering areas such as optimization techniques,
mathematical modeling and simulation, stochastic processes and
systems engineering, safety-critical system performance, system safety,
system security, high assurance software architecture and design,
mathematical modeling in environmental safety sciences, finite ele-
ment methods, differential equations, reliability engineering, etc.
Sustainable Procurement in Supply Chain Operations
Edited by Sachin Mangla, Sunil Luthra, Suresh Jakar,
Anil Kumar, and Nirpendra Rana
Mathematics in Engineering Sciences
Novel Theories, Technologies, and Applications
Edited by Mangey Ram
For more information about this series, please visit: https://www. crc-
press.com/Mathematical-Engineering-Manufacturing-and-Management-
Sciences/book-series/CRCMEMMS
Mathematics in
Engineering Sciences
Novel Theories, Technologies, and
Applications
Edited by
Mangey Ram
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Library of Congress Cataloging‑in‑Publication Data
Names: Ram, Mangey, editor.
Title: Mathematics in engineering sciences: novel theories, technologies, and
applications / edited by Mangey Ram.
Description: Boca Raton : Taylor & Francis, a CRC title, part of the Taylor &
Francis imprint, a member of the Taylor & Francis Group, the academic
division of T&F Informa, plc, 2019. | Includes bibliographical references.
Identifiers: LCCN 2019019739 | ISBN 9781138577671 (hardback : alk. paper) |
ISBN 9781351266321 (e-book)
Subjects: LCSH: Engineering mathematics.
Classification: LCC TA330 .M327 2019 |
DDC 620.001/51—dc23 LC record available at https://lccn.loc.gov/2019019739
Visit the Taylor & Francis Web site at
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Contents
Preface ....................................................................................................................vii
Acknowledgments .................................................................................................ix
Editor........................................................................................................................xi
Contributors .........................................................................................................xiii
1. Application of Optimization Techniques to Support
Eco-Efficiency Assessment in Manufacturing Processes .......................1
Paulo Peças, Ana Rita Alves, and Diogo Pina Jorge
2. Distance-Based Function Approach for Optimal Design of
Engineering Processes with Multiple Quality Characteristics...........35
Taha-Hossein Hejazi, Shahin Behboudi, and Hamed Baziyad
3. Application of Finite Element Method in Enhancing
the Performance of Biomedical Implants ................................................65
Mohit Pant, Mohit Kumar, and Sahil Garg
4. Magnetic Nanofluids—A Novel Concept of Smart Fluids ...................83
Vimal Kumar Joshi and Paras Ram
5. An Exposition on Mathematical Models Involving Various
Types of Differential Equations ..............................................................105
Jonnalagedda Vasundhara Devi, Farzana A. McRae, and Zahia Drici
6. Modeling of Thermal Radiation and Magnetic Effects on
Cu–Water Nanofluid Flow Embedded in Porous Medium
Nearby a Stagnation Point Past a Stretching/Shrinking
Plate with Suction/Blowing and Heat Source/Sink Using
Keller-Box Method .....................................................................................163
Santosh Chaudhary and KM Kanika
7. Thermal Radiation Effects on the Fundamental Flows of a
Ree–Eyring Hydromagnetic Fluid through Porous Medium
with Slip Boundary Conditions ..............................................................205
Katta Ramesh
8. The Minimum Spanning Tree with Node Index ≤ 2 Is Equivalent
to the Minimum Traveling Salesman Tour ...........................................227
Santosh Kumar, Elias Munapo, Caston Sigauke, and Masar Al-Rabeeah
v
vi Contents
9. Pattern Formation Dynamics of Predator–Prey System with
Hunting Cooperation in Predators .........................................................245
Teekam Singh and Ramu Dubey
10. Solving Multi-objective Transportation Problem under Cost
Reliability Using Utility Function ..........................................................277
Gurupada Maity, Dharmadas Mardanya, and Sankar Kumar Roy
11. Effect of Environmental Pollutants on Rain due to Stakeholders ...301
Nita H. Shah, Moksha H. Satia, and Foram A. Thakkar
12. Sliding Mode Control Approaches for Robust Control of
Quadruple Tank System ...........................................................................329
Dipesh Shah, Dhruv Patel, and Axaykumar Mehta
13. Discrete-Time Sliding Mode Control for Nonlinear
System Adulterated by Network Irregularities ...................................347
Dipesh Shah and Axaykumar Mehta
Index .....................................................................................................................365
Preface
Mathematics is one of the oldest sciences in the world, and is the base and
strength of engineering sciences. Mathematics is used widely in a range
of professions such as engineering. We can make anything possible in
engineering sciences just by adding some mathematical techniques. This
book Mathematics in Engineering Sciences: Novel Theories, Technologies, and
Applications contains plenty of mathematical tools and techniques applied in
several fields of engineering sciences.
In Chapter 1, the fine-tuning methodology was applied to the case study,
followed by the application of particle swarm optimization (PSO) and
genetic algorithm (GA) to find the alternatives of mold design, material, and
production conditions that maximize eco-efficiency, i.e. maximize different
eco-efficiency indicator, being used alone or together as cost functions.
Chapter 2 proposes two distance-based multiobjective decision-making
(MODM) approaches called goal programming (GP) and distance-based
function for ideal solutions. It also provides a methodology to find a process
setting that leads to the most desirable values of quality characteristics, also
called responses.
Chapter 3 establishes the applicability of engineering-based analysis in
biomedical sector by conjugating many spheres of science into one. The finite
element method (FEM) analysis enables industry to save cost and provide
insight into the points where the product can fail.
Chapter 4 briefly discusses about the magnetic nanofluids along with its
constitutions, the cause of production, and various applications. Further,
the mathematical modeling and its solution is explained for the rotating/
stationary/stretchable rotating disk problem.
In Chapter 5, a brief exposition of the qualitative theory of mathematical
models involving various types of differential equations is presented. Many
approaches are used to develop the qualitative theory in terms of the con-
cepts of differential inequalities, comparison principle, iterative techniques
using lower and upper solutions, and stability and perturbation theory.
Chapter 6 investigates a numerical problem of steady, incompressible
magneto hydro dynamics (MHD) stagnation point flow of an electrically
conducting Cu–water nanofluid in a porous medium over a stretching/
shrinking plate with radiation and heat source/sink impacts and inspected.
Chapter 7 investigates the fundamental flows of a Ree–Eyring fluid
between infinitely parallel plates. The effects of porous medium, magnetic
field, thermal radiation, viscous dissipation, and Joule heating have been
considered in all the mentioned cases.
vii
viii Preface
Chapter 8 establishes an equivalence between the two well-known graph
theory problems, the minimum traveling salesman tour (MTST), and the
minimum spanning tree (MST).
Chapter 9 studies one- and two-dimensional spatial patterns in a p redator–
prey model with hunting cooperation under zero-flux boundary conditions
and circular initial conditions.
Chapter 10 discusses a detailed study on solving multiobjective
transportation problem (MOTP) under cost reliability using utility function
approach.
In Chapter 11, threshold in terms of environmental pollutants is computed
for each stakeholder. Stability is worked out. The sensitivity analysis is
carried out to classify critical model parameters. The model is validated
through numerical simulation.
In Chapter 12, robust controllers are developed for quadruple tank multiple
input multiple output (MIMO) system in the presence of matched uncertainties.
The sliding mode controllers are designed using two different approaches, i.e. (i)
exponential reaching law and (ii) nonswitching reaching law.
In Chapter 13, a unique compensation technique is proposed for nonlinear
networked control system in the discrete-time domain, which compensates
the deterministic type of network-induced delay. The communication delay
within networks between sensor, controller, and actuator channel is n ullified
by Thiran’s approximation rule.
This book will be very beneficial to undergraduate and postgraduate
students of engineering, engineers, and research scientists/academics
involved in the engineering sciences.
Mangey Ram
Graphic Era (Deemed to be University), India
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Acknowledgments
The editor acknowledges CRC press for this opportunity and professional
support. My special thanks to Cindy Renee Carelli, Executive Editor, CRC
Press—Taylor & Francis Group, for the excellent support she provided to
complete this book. Thanks to Erin Harris, editorial assistant to Cindy, for
her follow-up and aid. Also, I would like to thank all the chapter authors and
reviewers for their availability for this work.
Mangey Ram
Graphic Era (Deemed to be University), India
ix