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MATHEMATICAL TRIPOS PART IB ELECTROMAGNETISM Examples 2 1. A ...
www.damtp.cam.ac.uk/user/ngb23/EM/B10b.pdf20 Jan 2009: MATHEMATICAL TRIPOS PART IB. ELECTROMAGNETISM. Examples 2. 1. A potential difference V is maintained between two coaxial cylinders of radiir = a, b, b > a and the gap a < r < b is ... Repeat the calculation in spherical geometry, i.e. for concentric -
Electromagnetism IBDr Natalia Berloff Summary of Vector Calculus The…
www.damtp.cam.ac.uk/user/ngb23/EM/vecCalculusEM.pdf9 Jan 2009: E B) = (B)E (E)B E(B) B(E). Position vector: let r or ri denote the position vector, and r = |r|. ... φ) dl = φ(b) φ(a). 1. Curl in curvilinear coordinates (ξ1, ξ2, ξ3):. -
Mathematical Tripos, Part IB : Electromagnetism 4 Electromagnetic…
www.damtp.cam.ac.uk/user/ngb23/EM/Chapter4.pdf9 Apr 2009: Φ =. S. B dS, (3). then we get Faraday’s Law of induction. ... B2dτ. (9). It can easily be seen, using the expression for L above and (7) for B = |B|, that the twoexpressions for the magnetic energy W give the same result in -
Mathematical Tripos, Part IB : Electromagnetism 3 Steady electric ...
www.damtp.cam.ac.uk/user/ngb23/EM/Chapter3.pdf29 Jan 2009: the direction of the normal b, |b| = 1 to the plane,is arbitrary. ... We get. (B+ B).tl = µ0s.bl. (B+ B).n b = µ0s.b. -
The long-time tail of the angular-velocity autocorrelation function…
www.damtp.cam.ac.uk/user/hinch/publications/JFM137_217.pdf23 Jul 2009: find that it is not necessary to know the tensors A , B and C in full detail, because the final answer only depends on the combination. ... w - [G+&A-l.B : B T A - l G ]. p(4.rcvt)$ vt. Finally we recall t h a t the angular-velocity autocorrelation -
Stability of an acid front moving through porous rock
www.damtp.cam.ac.uk/user/hinch/publications/JFM212_279.pdf21 Jul 2009: J. HINCH’ A N D B. S. BHATT? Department of Applied Mathematics and Theoretical Physics, University of Cambridge,. ... Hinch and B. S. Bhatt. 1.6 I 1 1.4. 1.2. I. -
The evolution of slender inviscid drops in an axisymmetric straining…
www.damtp.cam.ac.uk/user/hinch/publications/JFM101_545.pdf23 Jul 2009: B : b = [3/4(2n l ) ( n l)In/2n, c = 0. ... A similar conclusion applies to c, with b = 0 and m replacing n. -
PII: 0377-0257(94)80023-5
www.damtp.cam.ac.uk/user/hinch/publications/JNNFM54_209.pdf13 Jul 2009: where b, = b,/b. ... a tridiagonal matrix for the tensions. T,&,. b, -2T,b, b, T,_,&_, 6,. -
http://journals.cambridge.org Downloaded: 31 Jul 2009 IP address:…
www.damtp.cam.ac.uk/user/hinch/publications/JFM76_187.pdf31 Jul 2009: Thus. B = (B,),-dd.B-B.dddd(d.B.d). The equation governing the development of the full tensor B is then found to be. ... 2(d’d’. E. B B. E. d’d’) o(cY2). ( 1 4 b ) These results are not dependent in any essential way on the detailed nature of the -
Linear stability of free shear flow of viscoelastic liquids
www.damtp.cam.ac.uk/user/hinch/publications/JFM268_64.pdf21 Jul 2009: Let b,, = b:, E and b,, = b,, e2, then. ... py/e K u Ge(b,,, b:,) K E V , , -py/e, 24, v, = 0,. -
Rotation of small non-axisymmetric particles in a simple shear flow
www.damtp.cam.ac.uk/user/hinch/publications/JFM92_591.pdf23 Jul 2009: with the three shape constants. a = $ ( B 2 - B 1 ) , /3 = # ( B , B l ) and y = 4B3. ... At O ( B ) , the variation in q5 a t O( 1) drives harmonic oscilla- tions, i.e. -
http://journals.cambridge.org Downloaded: 31 Jul 2009 IP address:…
www.damtp.cam.ac.uk/user/hinch/publications/JFM68_129.pdf31 Jul 2009: 1, 367. LUMLEY, J. L. MAIJGREN, B. Molecular aspects of the drag-reduction phenomenon. ... MANDELBROT, B. B. 1974 Intermittent turbulence in self-similar cascades : divergence of. -
Digital Object Identifier (DOI) 10.1007/s00220-009-0861-xCommun.…
www.damtp.cam.ac.uk/user/md327/DP09.pdf27 Jul 2009: Plansangkate. where x j, j = 1, 2, 3, are local coordinates on B. ... s = b(y)eu3α and n = αx. for some b = b(y) = 0. -
Fluctuations and stratification in sedimentation of dilute…
www.damtp.cam.ac.uk/user/hinch/publications/PhysFluids_21_093304.pdf10 Nov 2009: FIG. 1. Concentration profile vs normalized height z / H for particles of batches A a, B b, D c in the cell having a cross section 10 10 cm2, and C ... FIG. 2. Time evolution of the velocity fluctuations w open symbols and the concentration gradient ad / -
03pa0244
www.damtp.cam.ac.uk/user/hinch/publications/PRSLA460_2975.pdf10 Jul 2009: away from the (collapsed) numerical results. and secularity is averted at order O(β1) if T0 B 0, whence B = B(T1) and. ... B(T ) ={. 1 T. 24β. }1/2. (5.2). Thus, for T 1,. -
02pa022
www.damtp.cam.ac.uk/user/hinch/publications/PRSLA459_1193.pdf10 Jul 2009: a) Gravity acts on the fundamental mode to create the firstharmonic in (b). ... b) Capillary pressure gradients act to create the phase-shifted first harmonicin (c). -
PhysicaD238 (2009)1289–1298 Contents lists available at ScienceDirect …
www.damtp.cam.ac.uk/user/ngb23/publications/physicaDintro.pdf3 Sep 2009: Bernard, B. Hambrecht, P. Lugan, D. Clement,L. Sanchez-Palencia, P. Bouyer, A. ... Rev. Lett. 101 (2008)080401. [65] Th. Anker, M. Albiez, B. Eiermann, M. -
Shear-induced dispersion in a dilute suspension of rough spheres
www.damtp.cam.ac.uk/user/hinch/publications/JFM309_211.pdf14 Jul 2009: 2 = y e x - i B y , y = e y - - B x , 1. ... 0.05 1 b B 0.05. 0 0.02 0.04 0.06 0.08. (b) 0.04. -
http://journals.cambridge.org Downloaded: 24 Aug 2009 IP address:…
www.damtp.cam.ac.uk/user/hinch/publications/JFM52_683.pdf24 Aug 2009: 3A(sin4 8, sin 24,) - 2(A - B)(sin28, sin 24,)}, of, = of. = ... A , B, F, 211, would not be related to the particle aspect ratio in 6he manner described for spheroids. -
PII: 0377-0257(92)80052-Y
www.damtp.cam.ac.uk/user/hinch/publications/JNNFM44_229.pdf13 Jul 2009: As a model problem we take. %(x) = U_[l - exp( -x/b)], (1). ... As indicated above, to make the calculation tractable we shall, however, assume that b B a so that the flow is almost unidirectional almost everywhere and lubrication methods can be employed.
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