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Symmetry and Fluid Mechanics

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ISBN: 9783039284269 / 9783039284276 Year: Pages: 446 DOI: 10.3390/books978-3-03928-427-6 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2020-04-07 23:07:09
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Abstract

Since the 1980s, attention has increased in the research of fluid mechanics due to its wide application in industry and phycology. Major advances have occurred in the modeling of key topics such Newtonian and non-Newtonian fluids, nanoparticles, thermal management, and physiological fluid phenomena in biological systems, which have been published in this Special Issue on symmetry and fluid mechanics for Symmetry. Although, this book is not a formal textbook, it will be useful for university teachers, research students, and industrial researchers and for overcoming the difficulties that occur when considering the nonlinear governing equations. For such types of equations, obtaining an analytic or even a numerical solution is often more difficult. This book addresses this challenging job by outlining the latest techniques. In addition, the findings of the simulation are logically realistic and meet the standard of sufficient scientific value.

Keywords

stagnation point flow --- numerical solution --- magnetic field --- nanofuid --- unsteady rotating flow --- porous medium --- aqueous suspensions of CNT’s --- nonlinear thermal radiation --- viscous dissipation effect --- HAM --- chemical reaction --- activation energy --- peristalsis --- couple stress fluid --- nanoparticle --- Keller-box method --- Newtonian heating --- nonlinear thermal radiation --- nonlinear stretching cylinder --- homogeneous/heterogeneous reactions --- nanofluid --- steady laminar flow --- nanofluid --- heat source/sink --- magnetic field --- stretching sheet --- SWCNT/MWCNT nanofluid --- thin needle --- classical and fractional order problems --- APCM technique --- SWCNTs --- MWCNTs --- stretched surface --- rotating system --- nanofluid --- MHD --- thermal radiation --- HAM --- nonlinear hydroelastic waves --- uniform current --- thin elastic plate --- solitary waves --- PLK method --- Permeable walls --- suction/injection --- nanofluids --- porous medium --- mixed convection --- magnetohydrodynamic (MHD) --- dual solution --- stability analysis --- Darcy Forchheimer model --- nanofluid --- exponential sheet --- Jeffrey fluid --- laminar g-Jitter flow --- inclined stretching sheet --- heat source/sink --- Magnetohydrodynamic (MHD) --- Jefferey, Maxwell and Oldroyd-B fluids --- Cattaneo–Christov heat flux --- homogeneous–heterogeneous reactions --- analytical technique --- Numerical technique --- viscous fluid --- Caputo–Fabrizio time-fractional derivative --- Laplace and Fourier transformations --- side walls --- oscillating shear stress --- forced convection --- microducts --- Knudsen number --- Nusselt number --- artificial neural networks --- particle swarm optimization --- Casson fluid --- chemical reaction --- cylinder --- heat generation --- magnetohydrodynamic (MHD) --- slip --- Carreau fluid --- Cattaneo–Christov heat flux model --- convective heat boundary condition --- temperature dependent thermal conductivity --- homogeneous-heterogeneous reactions --- integer and non-integer order derivatives --- GO-W/GO-EG nanofluids --- Marangoni convection --- FDE-12 numerical method --- couple stress fluid --- Hafnium particles --- Couette–Poiseuille flow --- shooting method --- magnetic field --- Darcy–Brinkman porous medium --- viscous dissipation --- slip conditions --- porous dissipation --- permeable sheet --- stretchable rotating disk --- CNTs (MWCNTs and SWCNTs) --- velocity slip --- convective boundary condition --- OHAM --- Casson fluid model --- rotating rigid disk --- nanoparticles --- Magnetohydrodynamics (MHD) --- Oil/MWCNT nanofluid --- heat transfer --- finite volume method --- laminar flow --- slip coefficient --- microchannel --- arched surface --- nonlinear thermal radiation --- molecular diameter --- Al2O3 nanoparticles --- streamlines --- isotherms --- RK scheme --- peristaltic transport --- tapered channel --- porous medium --- smart pumping for hemodialysis --- thermal radiation --- compressible viscous flow --- symmetric linear equations --- generalized finite difference scheme --- kernel gradient free --- Lagrangian approach --- Newtonian and non-Newtonian fluids --- nanofluids and particle shape effects --- convective heat and mass transfer --- steady and unsteady flow problems --- multiphase flow simulations --- fractional order differential equations --- thermodynamics --- physiological fluid phenomena in biological systems

Integral Transforms and Operational Calculus

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ISBN: 9783039216185 / 9783039216192 Year: Pages: 510 DOI: 10.3390/books978-3-03921-619-2 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- General and Civil Engineering
Added to DOAB on : 2019-12-09 11:49:16
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Abstract

Researches and investigations involving the theory and applications of integral transforms and operational calculus are remarkably wide-spread in many diverse areas of the mathematical, physical, chemical, engineering and statistical sciences.

Keywords

highly oscillatory --- convolution quadrature rule --- volterra integral equation --- Bessel kernel --- convergence --- higher order Schwarzian derivatives --- Janowski star-like function --- Janowski convex function --- bound on derivatives --- tangent numbers --- tangent polynomials --- Carlitz-type q-tangent numbers --- Carlitz-type q-tangent polynomials --- (p,q)-analogue of tangent numbers and polynomials --- (p,q)-analogue of tangent zeta function --- symmetric identities --- zeros --- Lommel functions --- univalent functions --- starlike functions --- convex functions --- inclusion relationships --- analytic function --- Hankel determinant --- exponential function --- upper bound --- nonlinear boundary value problems --- fractional-order differential equations --- Riemann-Stieltjes functional integral --- Liouville-Caputo fractional derivative --- infinite-point boundary conditions --- advanced and deviated arguments --- existence of at least one solution --- Fredholm integral equation --- Schauder fixed point theorem --- Hölder condition --- generalized Kuramoto–Sivashinsky equation --- modified Kudryashov method --- exact solutions --- Maple graphs --- analytic function --- Hadamard product (convolution) --- partial sum --- Srivastava–Tomovski generalization of Mittag–Leffler function --- subordination --- differential equation --- differential inclusion --- Liouville–Caputo-type fractional derivative --- fractional integral --- existence --- fixed point --- Bernoulli spiral --- Grandi curves --- Chebyshev polynomials --- pseudo-Chebyshev polynomials --- orthogonality property --- symmetric --- encryption --- password --- hash --- cryptography --- PBKDF --- q–Bleimann–Butzer–Hahn operators --- (p,q)-integers --- (p,q)-Bernstein operators --- (p,q)-Bleimann–Butzer–Hahn operators --- modulus of continuity --- rate of approximation --- K-functional --- Hurwitz-Lerch zeta function --- generalized functions --- analytic number theory --- ?-generalized Hurwitz-Lerch zeta functions --- derivative properties --- series representation --- basic hypergeometric functions --- generating functions --- q-polynomials --- analytic functions --- Mittag–Leffler functions --- starlike functions --- convex functions --- Hardy space --- vibrating string equation --- initial conditions --- spectral decomposition --- regular solution --- the uniqueness of the solution --- the existence of a solution --- analytic --- ?-convex function --- starlike function --- strongly-starlike function --- subordination --- q -Sheffer–Appell polynomials --- generating relations --- determinant definition --- recurrence relation --- q -Hermite–Bernoulli polynomials --- q -Hermite–Euler polynomials --- q -Hermite–Genocchi polynomials --- Volterra integral equations --- highly oscillatory Bessel kernel --- Hermite interpolation --- direct Hermite collocation method --- piecewise Hermite collocation method --- differential operator --- q-hypergeometric functions --- meromorphic function --- Mittag–Leffler function --- Hadamard product --- differential subordination --- starlike functions --- Bell numbers --- radius estimate --- (p, q)-integers --- Dunkl analogue --- generating functions --- generalization of exponential function --- Szász operator --- modulus of continuity --- function spaces and their duals --- distributions --- tempered distributions --- Schwartz testing function space --- generalized functions --- distribution space --- wavelet transform of generalized functions --- Fourier transform --- analytic function --- subordination --- Dziok–Srivastava operator --- nonlinear boundary value problem --- nonlocal --- multi-point --- multi-strip --- existence --- Ulam stability --- functions of bounded boundary and bounded radius rotations --- subordination --- functions with positive real part --- uniformly starlike and convex functions --- analytic functions --- univalent functions --- starlike and q-starlike functions --- q-derivative (or q-difference) operator --- sufficient conditions --- distortion theorems --- Janowski functions --- analytic number theory --- ?-generalized Hurwitz–Lerch zeta functions --- derivative properties --- recurrence relations --- integral representations --- Mellin transform --- natural transform --- Adomian decomposition method --- Caputo fractional derivative --- generalized mittag-leffler function --- analytic functions --- Hadamard product --- starlike functions --- q-derivative (or q-difference) operator --- Hankel determinant --- q-starlike functions --- fuzzy volterra integro-differential equations --- fuzzy general linear method --- fuzzy differential equations --- generalized Hukuhara differentiability --- spectrum symmetry --- DCT --- MFCC --- audio features --- anuran calls --- analytic functions --- convex functions --- starlike functions --- strongly convex functions --- strongly starlike functions --- uniformly convex functions --- Struve functions --- truncated-exponential polynomials --- monomiality principle --- generating functions --- Apostol-type polynomials and Apostol-type numbers --- Bernoulli, Euler and Genocchi polynomials --- Bernoulli, Euler, and Genocchi numbers --- operational methods --- summation formulas --- symmetric identities --- Euler numbers and polynomials --- q-Euler numbers and polynomials --- Hurwitz-Euler eta function --- multiple Hurwitz-Euler eta function --- higher order q-Euler numbers and polynomials --- (p, q)-Euler numbers and polynomials of higher order --- symmetric identities --- symmetry of the zero

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MDPI - Multidisciplinary Digital Publishing Institute (2)


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CC by-nc-nd (2)


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eng (2)


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2020 (1)

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