Next Article in Journal
Cutting Tool Condition Monitoring Using Surface Texture via Neural Network
Previous Article in Journal
On Sister Celine’s Polynomials of Several Variables
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
MCA
Volume 9
Issue 2
10.3390/mca9020321
mca-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles
Mathematical and Computational Applications is published by MDPI from Volume 21 Issue 1 (2016). Previous articles were published by another publisher in Open Access under a CC-BY (or CC-BY-NC-ND) licence, and they are hosted by MDPI on mdpi.com as a courtesy and upon agreement with Association for Scientific Research (ASR).
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

An Infinite Plate with a Curvilinear Hole and Flowing Heat

by
A.S. Sabbah
1,*,
M.A. Abdou
2 and
A.S. Ismail
1
1
Department of Mathematics, Faculty of Science, Zagazig University, Egypt
2
Department of Mathematics, Faculty of Education, Alexandria University, Egypt
*
Author to whom correspondence should be addressed.
Math. Comput. Appl. 2004, 9(2), 321-332; https://doi.org/10.3390/mca9020321
Published: 1 August 2004
Versions Notes

Abstract

In the present paper, we apply the complex variable method (Cauchy method) to derive exact expressions for the Goursat's functions for the boundary value problem of infinite plate weakened by a curvilinear hole. The hole is conformally mapped on the domain outside a unit circle by means of a general rational mapping function. Also the stress components, when an initial heat is uniformly flowing in the perpendicular direction of the hole, are obtained, Some applications are investigated. The interesting cases, when the shape of the hole takes different famous formulas are included as special cases, The work of many previous authors can be considered as special cases of this work.
Keywords: Infinite plat; Curvilinear hole; Cauchy method; Goursatts functions Infinite plat; Curvilinear hole; Cauchy method; Goursatts functions

Share and Cite

MDPI and ACS Style

Sabbah, A.S.; Abdou, M.A.; Ismail, A.S. An Infinite Plate with a Curvilinear Hole and Flowing Heat. Math. Comput. Appl. 2004, 9, 321-332. https://doi.org/10.3390/mca9020321

AMA Style

Sabbah AS, Abdou MA, Ismail AS. An Infinite Plate with a Curvilinear Hole and Flowing Heat. Mathematical and Computational Applications. 2004; 9(2):321-332. https://doi.org/10.3390/mca9020321

Chicago/Turabian Style

Sabbah, A.S., M.A. Abdou, and A.S. Ismail. 2004. "An Infinite Plate with a Curvilinear Hole and Flowing Heat" Mathematical and Computational Applications 9, no. 2: 321-332. https://doi.org/10.3390/mca9020321

APA Style

Sabbah, A. S., Abdou, M. A., & Ismail, A. S. (2004). An Infinite Plate with a Curvilinear Hole and Flowing Heat. Mathematical and Computational Applications, 9(2), 321-332. https://doi.org/10.3390/mca9020321

Article Metrics

Back to TopTop