DIRICHLET SERIES AND APPROXIMATE ANALYTICAL SOLUTIONS OF MHD FLOW OVER A LINEARLY STRETCHING SHEET

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AWATI VISHWANATH B.; KUMAR N. MAHESH; CHAVARADDI KRISHNA B.

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Journal: INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS Year:2015 | Volume:7 | Issue:4 Page(s): 343-350

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Title

DIRICHLET SERIES AND APPROXIMATE ANALYTICAL SOLUTIONS OF MHD FLOW OVER A LINEARLY STRETCHING SHEET

Author(s)

AWATI VISHWANATH B. | KUMAR N. MAHESH | CHAVARADDI KRISHNA B. | Issue Writer Certificate

Keywords

MAGNETOHYDRODYNAMICS (MHD)Q2

BOUNDARY LAYER FLOWQ2

SHRINKING SHEETQ2

DIRICHLET SERIESQ2

POWELL'S METHODQ2

METHOD OF STRETCHING VARIABLESQ2

Abstract

The paper presents the semi-numerical solution for the magnetohydrodynamic (MHD) viscous flow due to a stretching sheet caused by boundary layer of an incompressible viscous flow. The governing partial differential equations of momentum equations are reduced into a nonlinear ordinary differential equation (NODE) by using a classical similarity transformation along with appropriate boundary conditions. Both nonlinearity and infinite interval demand novel the mathematical tools for their analysis. The solution of the resulting third order nonlinear boundary value problem with an infinite interval is obtained using fast converging DIRICHLET SERIES method and approximate analytical method viz. method of stretching of variables. These methods have the advantages over pure numerical methods for obtaining the derived quantities accurately for various values of the parameters involved at a stretch and they are valid in much larger parameter domain as compared with HAM, HPM, ADM and the classical numerical schemes. Also, these methods require less computer memory space as compared with pure numerical methods.

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APA: Copy

AWATI, VISHWANATH B., KUMAR N., MAHESH, & CHAVARADDI, KRISHNA B.. (2015). DIRICHLET SERIES AND APPROXIMATE ANALYTICAL SOLUTIONS OF MHD FLOW OVER A LINEARLY STRETCHING SHEET. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, 7(4), 343-350. SID. https://sid.ir/paper/231698/en

Vancouver: Copy

AWATI VISHWANATH B., KUMAR N. MAHESH, CHAVARADDI KRISHNA B.. DIRICHLET SERIES AND APPROXIMATE ANALYTICAL SOLUTIONS OF MHD FLOW OVER A LINEARLY STRETCHING SHEET. INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS[Internet]. 2015;7(4):343-350. Available from: https://sid.ir/paper/231698/en

IEEE: Copy

VISHWANATH B. AWATI, MAHESH KUMAR N., and KRISHNA B. CHAVARADDI, “DIRICHLET SERIES AND APPROXIMATE ANALYTICAL SOLUTIONS OF MHD FLOW OVER A LINEARLY STRETCHING SHEET,” INTERNATIONAL JOURNAL OF INDUSTRIAL MATHEMATICS, vol. 7, no. 4, pp. 343–350, 2015, [Online]. Available: https://sid.ir/paper/231698/en

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