Language:
English
繁體中文
Help
回圖書館首頁
手機版館藏查詢
Login
Back
Switch To:
Labeled
|
MARC Mode
|
ISBD
Dimensional analysis beyond the Pi t...
~
Zohuri, Bahman.
Linked to FindBook
Google Book
Amazon
博客來
Dimensional analysis beyond the Pi theorem
Record Type:
Electronic resources : Monograph/item
Title/Author:
Dimensional analysis beyond the Pi theorem/ by Bahman Zohuri.
Author:
Zohuri, Bahman.
Published:
Cham :Springer International Publishing : : 2017.,
Description:
xix, 266 p. :ill., digital ;24 cm.
[NT 15003449]:
Principles of the Dimensional Analysis -- Dimensional Analysis: Similarity and Self-Similarity -- Shock Wave and High Pressure Phenomena -- Similarity Methods for Nonlinear Problems -- Appendix A: Simple Harmonic Motion -- Appendix B: Pendulum Problem -- Appendix C: Similarity Solutions Methods for Partial Differential Equations (PDEs) -- Index.
Contained By:
Springer eBooks
Subject:
Dimensional analysis. -
Online resource:
http://dx.doi.org/10.1007/978-3-319-45726-0
ISBN:
9783319457260
Dimensional analysis beyond the Pi theorem
Zohuri, Bahman.
Dimensional analysis beyond the Pi theorem
[electronic resource] /by Bahman Zohuri. - Cham :Springer International Publishing :2017. - xix, 266 p. :ill., digital ;24 cm.
Principles of the Dimensional Analysis -- Dimensional Analysis: Similarity and Self-Similarity -- Shock Wave and High Pressure Phenomena -- Similarity Methods for Nonlinear Problems -- Appendix A: Simple Harmonic Motion -- Appendix B: Pendulum Problem -- Appendix C: Similarity Solutions Methods for Partial Differential Equations (PDEs) -- Index.
Dimensional Analysis and Physical Similarity are well understood subjects, and the general concepts of dynamical similarity are explained in this book. Our exposition is essentially different from those available in the literature, although it follows the general ideas known as Pi Theorem. There are many excellent books that one can refer to; however, dimensional analysis goes beyond Pi theorem, which is also known as Buckingham's Pi Theorem. Many techniques via self-similar solutions can bound solutions to problems that seem intractable. A time-developing phenomenon is called self-similar if the spatial distributions of its properties at different points in time can be obtained from one another by a similarity transformation, and identifying one of the independent variables as time. However, this is where Dimensional Analysis goes beyond Pi Theorem into self-similarity, which has represented progress for researchers. In recent years there has been a surge of interest in self-similar solutions of the First and Second kind. Such solutions are not newly discovered; they have been identified and named by Zel'dovich, a famous Russian Mathematician in 1956. They have been used in the context of a variety of problems, such as shock waves in gas dynamics, and filtration through elasto-plastic materials. Self-Similarity has simplified computations and the representation of the properties of phenomena under investigation. It handles experimental data, reduces what would be a random cloud of empirical points to lie on a single curve or surface, and constructs procedures that are self-similar. Variables can be specifically chosen for the calculations.
ISBN: 9783319457260
Standard No.: 10.1007/978-3-319-45726-0doiSubjects--Topical Terms:
648198
Dimensional analysis.
LC Class. No.: TA347.D5
Dewey Class. No.: 530.8
Dimensional analysis beyond the Pi theorem
LDR
:02921nmm a2200313 a 4500
001
2088544
003
DE-He213
005
20170609144431.0
006
m d
007
cr nn 008maaau
008
171013s2017 gw s 0 eng d
020
$a
9783319457260
$q
(electronic bk.)
020
$a
9783319457253
$q
(paper)
024
7
$a
10.1007/978-3-319-45726-0
$2
doi
035
$a
978-3-319-45726-0
040
$a
GP
$c
GP
041
0
$a
eng
050
4
$a
TA347.D5
072
7
$a
TBJ
$2
bicssc
072
7
$a
MAT003000
$2
bisacsh
082
0 4
$a
530.8
$2
23
090
$a
TA347.D5
$b
Z85 2017
100
1
$a
Zohuri, Bahman.
$3
2139308
245
1 0
$a
Dimensional analysis beyond the Pi theorem
$h
[electronic resource] /
$c
by Bahman Zohuri.
260
$a
Cham :
$b
Springer International Publishing :
$b
Imprint: Springer,
$c
2017.
300
$a
xix, 266 p. :
$b
ill., digital ;
$c
24 cm.
505
0
$a
Principles of the Dimensional Analysis -- Dimensional Analysis: Similarity and Self-Similarity -- Shock Wave and High Pressure Phenomena -- Similarity Methods for Nonlinear Problems -- Appendix A: Simple Harmonic Motion -- Appendix B: Pendulum Problem -- Appendix C: Similarity Solutions Methods for Partial Differential Equations (PDEs) -- Index.
520
$a
Dimensional Analysis and Physical Similarity are well understood subjects, and the general concepts of dynamical similarity are explained in this book. Our exposition is essentially different from those available in the literature, although it follows the general ideas known as Pi Theorem. There are many excellent books that one can refer to; however, dimensional analysis goes beyond Pi theorem, which is also known as Buckingham's Pi Theorem. Many techniques via self-similar solutions can bound solutions to problems that seem intractable. A time-developing phenomenon is called self-similar if the spatial distributions of its properties at different points in time can be obtained from one another by a similarity transformation, and identifying one of the independent variables as time. However, this is where Dimensional Analysis goes beyond Pi Theorem into self-similarity, which has represented progress for researchers. In recent years there has been a surge of interest in self-similar solutions of the First and Second kind. Such solutions are not newly discovered; they have been identified and named by Zel'dovich, a famous Russian Mathematician in 1956. They have been used in the context of a variety of problems, such as shock waves in gas dynamics, and filtration through elasto-plastic materials. Self-Similarity has simplified computations and the representation of the properties of phenomena under investigation. It handles experimental data, reduces what would be a random cloud of empirical points to lie on a single curve or surface, and constructs procedures that are self-similar. Variables can be specifically chosen for the calculations.
650
0
$a
Dimensional analysis.
$3
648198
650
1 4
$a
Engineering.
$3
586835
650
2 4
$a
Appl.Mathematics/Computational Methods of Engineering.
$3
890892
650
2 4
$a
Engineering Thermodynamics, Heat and Mass Transfer.
$3
1002079
650
2 4
$a
Engineering Fluid Dynamics.
$3
891349
710
2
$a
SpringerLink (Online service)
$3
836513
773
0
$t
Springer eBooks
856
4 0
$u
http://dx.doi.org/10.1007/978-3-319-45726-0
950
$a
Engineering (Springer-11647)
based on 0 review(s)
Location:
ALL
電子資源
Year:
Volume Number:
Items
1 records • Pages 1 •
1
Inventory Number
Location Name
Item Class
Material type
Call number
Usage Class
Loan Status
No. of reservations
Opac note
Attachments
W9314716
電子資源
11.線上閱覽_V
電子書
EB TA347.D5
一般使用(Normal)
On shelf
0
1 records • Pages 1 •
1
Multimedia
Reviews
Add a review
and share your thoughts with other readers
Export
pickup library
Processing
...
Change password
Login