000			02408aab a2200205 4500
008			240108b1989 |||mr||| |||| 00| 0 eng d
022			_a0017-9310
100			_aSelamet, Ahmet _979244
100			_aArpaci, Vedat S. _979243
245			_aRayleigh Limit—Penndorf Extension
300			_a1809-1820 p.
520			_aThe Rayleigh limit of the Lorenz-Mie theory is extended by the Penndorf correction. For the efficiency factors, this extension leads to Qa,s,e<P = Qa,s,eR(1+Πa,s,e) where superscripts P and R denote Penndorf and Rayleigh; subscripts s, a, and e, respectively, scattering absorption, and extinction; and Π the Penndorf correction to the Rayleigh limit. This correction is shown to extend the Rayleigh limit from α ≃ 0.3 to 0.8, α being the particle size parameter. Error contours are generated for the Rayleigh and Penndorf limits for α = 0.3, 0.5, and 0.7 in the 1.5 ⩽ n ⩽ 2.5 and 0.5 ⩽ k ⩽ 1.5 domain which covers the range of soot properties. The practical significance of the Penndorf correction is demonstrated in terms of optical diagnostics and radiative heat transfer. Also, the Planck and Rosseland mean absorption coefficients based on the Penndorf expansion are shown to yield relative to those based on the Rayleigh limit Graphical abstract for this article where subscripts P and R denote the Planck and Rosseland mean absorption coefficients, superscripts P and R denote Penndorf and Rayleigh, Π the Penndorf correction depending on Ms and Ns which are the explicit functions of refractive and absorptive indices of particles, and on the dimensionless number πDTC2 (D being the particle diameter, T the temperature, and C2 the second radiation constant). For larger particles and/or higher temperatures the Penndorf based Planck mean coefficient is shown to deviate considerably from the Rayleigh based Planck mean coefficient. This deviation is exhibited to a somewhat lesser extent by the Penndorf based Rosseland mean coefficient.
650			_aRayleigh Limit _9879585
650			_aPenndorf Extension _9879586
650			_aScattering Absorption _9879587
650			_aExtinction _9769553
773	0		_dNew York, U.S.A : Pergamon Subsidiary of Elsevier Science & Technology _x00179310 _tInternational Journal of Heat and Mass Transfer
856			_uhttps://www.sciencedirect.com/science/article/pii/0017931089901531
942			_2ddc _n0 _cART _o14993 _pMr. Muhammad Rafique Al Haj Rajab Ali (Late)
999			_c814627 _d814627