國立高雄大學圖資館 |

語系: 繁體中文

說明(常見問題)

圖資館首頁

登入

回首頁

切換: 標籤 | MARC模式 | ISBD

Dimensional analysis beyond the Pi t...

SpringerLink (Online service)

Dimensional analysis beyond the Pi theorem

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Dimensional analysis beyond the Pi theoremby Bahman Zohuri.
作者:	Zohuri, Bahman.
出版者:	Cham :Springer International Publishing :2017.
面頁冊數:	xix, 266 p. :ill., digital ;24 cm.
Contained By:	Springer eBooks
標題:	Dimensional analysis.
電子資源:	http://dx.doi.org/10.1007/978-3-319-45726-0
ISBN:	9783319457260$q(electronic bk.)

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$q(electronic bk.)

Standard No.: 10.1007/978-3-319-45726-0doiSubjects--Topical Terms:

245834
Dimensional analysis.

LC Class. No.: TA347.D5

Dewey Class. No.: 530.8

Dimensional analysis beyond the Pi theorem
LDR:02921nmm a2200313 a 4500 001 505656
003 DE-He213
005 20170609144431.0
006 m d
007 cr nn 008maaau
008 171030s2017 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 715690
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 245834
650 1 4 $a Engineering. $3 210888
650 2 4 $a Appl.Mathematics/Computational Methods of Engineering. $3 273758
650 2 4 $a Engineering Thermodynamics, Heat and Mass Transfer. $3 338996
650 2 4 $a Engineering Fluid Dynamics. $3 273893
710 2 $a SpringerLink (Online service) $3 273601
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)