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Application of Fractional Calculus to Fluid Mechanics
Oleh:
Kulish, Vladimir V.
;
Lage, Jose L.
Jenis:
Article from Bulletin/Magazine
Dalam koleksi:
Journal of Fluids Engineering vol. 124 no. 3 (2002)
,
page 803-805.
Topik:
CALCULUS
;
application
;
fractional calculus
;
fluid mechanics
Ketersediaan
Perpustakaan Pusat (Semanggi)
Nomor Panggil:
JJ89.3
Non-tandon:
1 (dapat dipinjam: 0)
Tandon:
tidak ada
Lihat Detail Induk
Isi artikel
In this note we present the application of fractional calculus, or the calculus of arbitrary (non integer) differentiation, to the solution of time - dependent, viscous -diffusion fluid mechanics problems. Together with the Laplace transform method, the application of fractional calculus to the classical transient viscous -diffusion equation in a semi - infinite space is shown to yield explicit analytical (fractional) solutions for the shear - stress and fluid speed anywhere in the domain. Comparing the fractional results for boundary shear - stress and fluid speed to the existing analytical results for the first and second Stokes problems, the fractional methodology is validated and shown to be much simpler and more powerful than existing techniques.
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