A rened analytical model of spatially resolved diffuse reectance with small source-detector separations(SDSs)for the in vivo skin studies is proposed.Compared to the conventional model developed by Farrell et al.,it a...A rened analytical model of spatially resolved diffuse reectance with small source-detector separations(SDSs)for the in vivo skin studies is proposed.Compared to the conventional model developed by Farrell et al.,it accounts for the limited acceptance angle of the detectorber.The rened model is validated in the wide range of optical parameters by Monte Carlo simulations of skin diffuse reectance at SDSs of units of mm.Cases of uniform dermis and two-layered epidermis-dermis structures are studied.Higher accuracy of the rened model compared to the conventional one is demonstrated in the separate,constraint-free reconstruction of absorption and reduced scattering spectra of uniform dermis from the Monte Carlo simulated data.In the case of epidermis-dermis geometry,the recovered values of reduced scattering in dermis are overestimated and the recovered values of absorption are underestimated for both analytical models.Presumably,in the presence of a thin mismatched topical layer,only the effective attenuation coe±cient of the bottom layer can be accurately recovered using a diffusion theorybased analytical model while separate reconstruction of absorption and reduced scattering fails due to the inapplicability of the method of images.These-ndings require implementation of more sophisticated models of light transfer in inhomogeneous media in the recovery algorithms.展开更多
Colormetric method of images by using two different wavelength images is a new measuring method for welding temperature field on the basis of ordinary colorimetric method, which depends little on the measuring distanc...Colormetric method of images by using two different wavelength images is a new measuring method for welding temperature field on the basis of ordinary colorimetric method, which depends little on the measuring distance, emissivity of body etc. In this paper the real time measuring system and measuring principle of welding temperature field are described, the whole welding temperature field is real time measured, so the temperature distribution at the welding direction and its cross section is obtained, then parameters of thermal cycle. With data from the temperature closed loop control system of the parameters of temperature field is developed and tested. Experimental results prove that it has high measurement speed (time of a field within 0.5 s ) and good dynamic response quality. Weld penetration can be controlled satisfactorily under the variation of welding condition such as welding thickness, welding speed and weldment gap etc.展开更多
Heat source function method is adopted in the present paper to derive elementary solutions of coupled thermo-hydro-mechanical consolidation for saturated porous media under conjunct actions of instantaneous point heat...Heat source function method is adopted in the present paper to derive elementary solutions of coupled thermo-hydro-mechanical consolidation for saturated porous media under conjunct actions of instantaneous point heat source, instantaneous point fluid source and constant volume force. By using the so-called fictitious heat source method and images method, the solutions of a semi-infinite saturated porous medium subjected to a local heat source with time-varied intensity on its free surface are developed from elementary solutions. The numerical integral methods for calculating the unsteady temperature, pore pressure and displacement fields are given. The thermomechanical response are analyzed for the case of a circular planar heat source. Besides, the thermal consolidation characteristics of a saturated porous medium subjected to a harmonic thermal loading are also given, and the fluctuation processes of the field variables located below the center of heat source are analyzed.展开更多
In this work, we modeled and simulated the electric potential generated by point charges in the region of grounded conductor planes for Yukawa potential (e−μ/r) and Coulomb potential (1/r). We show the symb...In this work, we modeled and simulated the electric potential generated by point charges in the region of grounded conductor planes for Yukawa potential (e−μ/r) and Coulomb potential (1/r). We show the symbolic expression for the electric potential and some graphs for it and for the electric field with different values of μ. We observe that the electric potential decreases as the value of μ increases and that does not allow all the charge to be distributed on the surface of the conductor.展开更多
<p> For a point charge between two grounded conductor planes forming a 60<span style="white-space:nowrap;">°</span> angle, the potential and electric field generated by point charge fo...<p> For a point charge between two grounded conductor planes forming a 60<span style="white-space:nowrap;">°</span> angle, the potential and electric field generated by point charge for Yukawa’s potential (<span style="white-space:nowrap;">e<sup><span style="white-space:nowrap;">-</span><em>μr</em></sup>/<em>r</em></span>) and Coulomb’s potential (1/<em>r</em>) are modeled and simulated. The expression for the potential that generalizes the cases discussed in López-Mari<span style="white-space:nowrap;"><span style="white-space:nowrap;">ñ</span></span>o, M. and Trujillo Caballero, J. (2017) Point Charges and Conducting Planes for Yukawa’s Potential and Coulomb’s Potential. <em>Journal of Electromagnetic Analysis and Applications</em>, 9, 135-146. </p> <p> <a href="https://doi.org/10.4236/jemaa.2017.910012" target="_blank">https://doi.org/10.4236/jemaa.2017.910012</a> is presented. Graphs for the potential and electric field for both cases are showed using Maple, that of Coulomb and that of Yukawa for different values of <span style="white-space:nowrap;"><em>μ</em></span> . The purpose of this work is to offer students a practical guide for problem analysis of electrostatics using Maple’s capabilities as a computational tool. </p>展开更多
Some characteristics of interior explosions within a cabin structure with a venting hole are investigated.It may simulate a warhead explosion inside a cabin following its penetration through the cabin wall.The study i...Some characteristics of interior explosions within a cabin structure with a venting hole are investigated.It may simulate a warhead explosion inside a cabin following its penetration through the cabin wall.The study includes both experimental and theoretical analyses of the problem.The experimental investigation comprises of two types of explosives at the center of the cabin.The pressure distributions at diferent locations on the cabin wall are obtained.The efect of internal shock reflection is analyzed by using the method of images(MOI).It is found that the geometric symmetries can cause the multiple reflected shocks to converge with strength comparable to the initial free shock.展开更多
Two methods of discrete images are proposed to approximate the reaction field from ionic solvent for a point charge inside a dielectric spherical cavity.Fast and accurate calculation of such a reaction field is needed...Two methods of discrete images are proposed to approximate the reaction field from ionic solvent for a point charge inside a dielectric spherical cavity.Fast and accurate calculation of such a reaction field is needed in hybrid explicit/implicit solvation models of biomolecules.A first-and a second-order image approximation methods,in the order of u=λa(λ–the inverse Debye screening length of the ionic solvent,a–the radius of the spherical cavity),are derived.Each method involves a point image at the conventional Kelvin image point and a line image along the ray from the Kelvin image point to infinity.Based on these results,discrete point images are obtained by using Jacobi-Gauss quadratures.Numerical results demonstrate that two to three point images are sufficient to achieve a 10−3 accuracy in the reaction field with the second-order image approximation.展开更多
We derive a closed form expression for the regularized Stokeslet in two space dimensions with periodic boundary conditions in the x-direction and a solid plane wall at y=0.To accommodate the no-slip condition on the w...We derive a closed form expression for the regularized Stokeslet in two space dimensions with periodic boundary conditions in the x-direction and a solid plane wall at y=0.To accommodate the no-slip condition on the wall,a system of images for the regularized Stokeslets was used.The periodicity is enforced by writing all elements of the image system in terms of a Green’s function whose periodic extension is known.Although the formulation is derived in the context of regularized Stokeslets,the expression for the traditional(singular)Stokeslet is easily found by taking the limit as the regularization parameter approaches zero.The new formulation is validated by comparing results of two test problems:the Taylor infinite waving sheet and the motion of a cylinder moving near a wall.As an example of an application,we use our formulation to compute the motion and flow generated by cilia using a model that does not prescribe the motion so that the beat period and synchronization of neighboring cilia are a result of the forces developed along the cilia.展开更多
基金supported by the Center of Excellence\Center of Photonics"funded by The Ministry of Science and Higher Education of the Russian Federation,Contract.№.075-15-2022-316.E.A.S.thanks Dr.Lev S.Dolin for fruitful discussions.
文摘A rened analytical model of spatially resolved diffuse reectance with small source-detector separations(SDSs)for the in vivo skin studies is proposed.Compared to the conventional model developed by Farrell et al.,it accounts for the limited acceptance angle of the detectorber.The rened model is validated in the wide range of optical parameters by Monte Carlo simulations of skin diffuse reectance at SDSs of units of mm.Cases of uniform dermis and two-layered epidermis-dermis structures are studied.Higher accuracy of the rened model compared to the conventional one is demonstrated in the separate,constraint-free reconstruction of absorption and reduced scattering spectra of uniform dermis from the Monte Carlo simulated data.In the case of epidermis-dermis geometry,the recovered values of reduced scattering in dermis are overestimated and the recovered values of absorption are underestimated for both analytical models.Presumably,in the presence of a thin mismatched topical layer,only the effective attenuation coe±cient of the bottom layer can be accurately recovered using a diffusion theorybased analytical model while separate reconstruction of absorption and reduced scattering fails due to the inapplicability of the method of images.These-ndings require implementation of more sophisticated models of light transfer in inhomogeneous media in the recovery algorithms.
文摘Colormetric method of images by using two different wavelength images is a new measuring method for welding temperature field on the basis of ordinary colorimetric method, which depends little on the measuring distance, emissivity of body etc. In this paper the real time measuring system and measuring principle of welding temperature field are described, the whole welding temperature field is real time measured, so the temperature distribution at the welding direction and its cross section is obtained, then parameters of thermal cycle. With data from the temperature closed loop control system of the parameters of temperature field is developed and tested. Experimental results prove that it has high measurement speed (time of a field within 0.5 s ) and good dynamic response quality. Weld penetration can be controlled satisfactorily under the variation of welding condition such as welding thickness, welding speed and weldment gap etc.
基金The project supported by the National Natural Science Foundation of China (50578008) The English text was polished by Yunming Chen
文摘Heat source function method is adopted in the present paper to derive elementary solutions of coupled thermo-hydro-mechanical consolidation for saturated porous media under conjunct actions of instantaneous point heat source, instantaneous point fluid source and constant volume force. By using the so-called fictitious heat source method and images method, the solutions of a semi-infinite saturated porous medium subjected to a local heat source with time-varied intensity on its free surface are developed from elementary solutions. The numerical integral methods for calculating the unsteady temperature, pore pressure and displacement fields are given. The thermomechanical response are analyzed for the case of a circular planar heat source. Besides, the thermal consolidation characteristics of a saturated porous medium subjected to a harmonic thermal loading are also given, and the fluctuation processes of the field variables located below the center of heat source are analyzed.
文摘In this work, we modeled and simulated the electric potential generated by point charges in the region of grounded conductor planes for Yukawa potential (e−μ/r) and Coulomb potential (1/r). We show the symbolic expression for the electric potential and some graphs for it and for the electric field with different values of μ. We observe that the electric potential decreases as the value of μ increases and that does not allow all the charge to be distributed on the surface of the conductor.
文摘<p> For a point charge between two grounded conductor planes forming a 60<span style="white-space:nowrap;">°</span> angle, the potential and electric field generated by point charge for Yukawa’s potential (<span style="white-space:nowrap;">e<sup><span style="white-space:nowrap;">-</span><em>μr</em></sup>/<em>r</em></span>) and Coulomb’s potential (1/<em>r</em>) are modeled and simulated. The expression for the potential that generalizes the cases discussed in López-Mari<span style="white-space:nowrap;"><span style="white-space:nowrap;">ñ</span></span>o, M. and Trujillo Caballero, J. (2017) Point Charges and Conducting Planes for Yukawa’s Potential and Coulomb’s Potential. <em>Journal of Electromagnetic Analysis and Applications</em>, 9, 135-146. </p> <p> <a href="https://doi.org/10.4236/jemaa.2017.910012" target="_blank">https://doi.org/10.4236/jemaa.2017.910012</a> is presented. Graphs for the potential and electric field for both cases are showed using Maple, that of Coulomb and that of Yukawa for different values of <span style="white-space:nowrap;"><em>μ</em></span> . The purpose of this work is to offer students a practical guide for problem analysis of electrostatics using Maple’s capabilities as a computational tool. </p>
基金the Defense Industrial Technology Development Program(No.A1420080184)the Fundamental Research Funds for the Central Universities of China(No.2011YB08)
文摘Some characteristics of interior explosions within a cabin structure with a venting hole are investigated.It may simulate a warhead explosion inside a cabin following its penetration through the cabin wall.The study includes both experimental and theoretical analyses of the problem.The experimental investigation comprises of two types of explosives at the center of the cabin.The pressure distributions at diferent locations on the cabin wall are obtained.The efect of internal shock reflection is analyzed by using the method of images(MOI).It is found that the geometric symmetries can cause the multiple reflected shocks to converge with strength comparable to the initial free shock.
基金support of the National Science Foundation(grant numbers:DMS0408309,CCF-0513179)the Department of Energy(grant number:DEFG0205ER25678)the NERSC Computing Award for the work reported in this paper.
文摘Two methods of discrete images are proposed to approximate the reaction field from ionic solvent for a point charge inside a dielectric spherical cavity.Fast and accurate calculation of such a reaction field is needed in hybrid explicit/implicit solvation models of biomolecules.A first-and a second-order image approximation methods,in the order of u=λa(λ–the inverse Debye screening length of the ionic solvent,a–the radius of the spherical cavity),are derived.Each method involves a point image at the conventional Kelvin image point and a line image along the ray from the Kelvin image point to infinity.Based on these results,discrete point images are obtained by using Jacobi-Gauss quadratures.Numerical results demonstrate that two to three point images are sufficient to achieve a 10−3 accuracy in the reaction field with the second-order image approximation.
基金Thework of the authorswas supported in part by theNational Science Foundation(NSF)Grant No.DMS-1043626.
文摘We derive a closed form expression for the regularized Stokeslet in two space dimensions with periodic boundary conditions in the x-direction and a solid plane wall at y=0.To accommodate the no-slip condition on the wall,a system of images for the regularized Stokeslets was used.The periodicity is enforced by writing all elements of the image system in terms of a Green’s function whose periodic extension is known.Although the formulation is derived in the context of regularized Stokeslets,the expression for the traditional(singular)Stokeslet is easily found by taking the limit as the regularization parameter approaches zero.The new formulation is validated by comparing results of two test problems:the Taylor infinite waving sheet and the motion of a cylinder moving near a wall.As an example of an application,we use our formulation to compute the motion and flow generated by cilia using a model that does not prescribe the motion so that the beat period and synchronization of neighboring cilia are a result of the forces developed along the cilia.