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International Journal of Biomathematics 2016年第2期9卷 139-157页

作者： Shakera Tanveer V. P. Rathod department of mathematics government first grade collegeafzalpur 585301 Gulbarga Karnataka India department of mathematicsCNCS Haramaya University Ethiopia

Mathematical model for the pulsatile blood flow through a porous medium under the influence of periodic body acceleration for gravity flow along an inclined tube by considering blood as a couple stress, incompressible and electrically conducting fluid in the presence of magnetic field has been investigated. Analytical expressions for axial velocity, flow rate, fluid acceleration and shear stress are obtained by applying the Laplace and finite Hankel＇s transforms. The velocity profiles for various values of Hartmann number, couple stress parameters and the angle of inclination are shown graphically. Also the effects of body acceleration, Womerseley parameters and permeability parameters have been discussed. The results obtained in the present mathematical model for different values of the parameters involved in the problem show that the flow of blood is influenced by the effect of magnetic field, the porous medium and the inclination angle. The present model is compared with the other existing models. Through this theoretical investigation, the applications of magnetic field have also been indicated in the field of biological, biomedical and engineering sciences.

关键词： Magnetic field body acceleration porous media couple stress fluid inclination angle gravity flow blood-borne diseases.

Heavy ion fusion of spherical nuclei

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Chinese Physics C 2023年第10期47卷 143-153页

作者： H.C.Manjunatha N.Sowmya L.Seenappa P.S.Damodara Gupta N.Manjunatha department of Physics Government First Grade CollegeDevanahalliKarnatakaIndia department of Physics Government First Grade CollegeChikkaballapurKarnatakaIndia department of Physics Government First Grade CollegeMulbagalKarnatakaIndia department of Physics Rajah Serfoji Government College(Autonomous)ThanjavurTamilnaduIndia

We study the experimental and theoretical fusion reactions of compound nuclei synthesized using different projectile-target systems,among which at least one projectile/target nucleus is *** first part of this study analyses the fusion cross sections obtained using different projectile-target combinations in the synthesis of polonium(Po),thorium(Th),and nobelium(No).In the second part of this study,we suggest the fusion reaction to synthesize the superheavy element Z=*** select three nuclei,polonium(Po),thorium(Th),and nobelium(No),which are synthesized using various projectile-target *** also investigate fusion reactions such as^(90)Zr(^(208)Pb,2n)^(296)*** study may be a milestone in the synthesis of the superheavy element Z=122.

关键词： superheavy nuclei decay width compound nucleus probability survival probability

Cr-induced fusion reactions to synthesize superheavy elements

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Nuclear Science and Techniques 2024年第5期35卷 122-130页

作者： S.Madhu H.C.Manjunatha N.Sowmya B.M.Rajesh L.Seenappa R.S.Susheela department of Physics R V College of EngineeringBangalore 560074India Visvesvaraya Technological University BelagaviKarnataka 590018India department of Physics Government First Grade CollegeSrinivasapurKarnataka 563135India department of Physics Government First Grade CollegeDevanahallyKarnataka 562110India department of Physics Government First Grade CollegeMulbagalKarnataka 563131India department of Physics Government First Grade collegeNanjangudOoty RoadMysore 571301India

We investigated ^(50,52-54)Cr-induced fusion reactions for the synthesis of the superheavy element in the 104≤Z≤122 *** cross sections produced in this investigation using ^(54)Cr projectiles were compared with those obtained in prior *** estimated cross sections from this analysis are consistent with the findings of prior *** the current study,the predicted cross section was found to be 42fb at 236 MeV for ^(53)Cr+^(243)Am,23.2 fb at 236 MeV for ^(54)Cr+^(247)Cm,95.6 fb at 240 MeV for ^(53)Cr+248Bk,and 1.33 fb at 242 MeV for ^(53)Cr+***,these projected cross sections with excitation energy and beam energy will be useful in future Cr-induced fusion reaction investigations.

关键词： Fusion cross sections Compound nucleus formation probability Survival probability Evaporation residue cross sections

Investigation of decay modes of superheavy nuclei

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Nuclear Science and Techniques 2021年第11期32卷 146-162页

作者： H.C.Manjunatha N.Sowmya P.S.Damodara Gupta K.N.Sridhar A.M.Nagaraja L.Seenappa S.Alfred Cecil Raj department of Physics Government College for WomenKolarKarnataka 563101India department of Physics Government First Grade CollegeKolarKarnataka 563101India department of Physics St.Joseph’s CollegeAffiliated to Bharathidasan UniversityTiruchirappalliTamil NaduIndia

A detailed investigation of different decay modes,namely alpha decay,beta decay,cluster decay including heavy particle emission(Z_(c)>28),and spontaneous fission,was carried out,leading to the identification of new cluster and beta-plus emitters in superheavy nucle with 104≤Z≤*** the first time,we identified around20 beta-plus emitters in superheavy ***-particle radioactivity was observed in superheavy elements of atomic number in the range 116≤Z≤126.^(292-293)Og were identified as ^(86)Kr emitters,and ^(298)122 and ^(300)122 were identified as ^(94)Zr emitters,whereas heavy-particle radioactivity from ^(91)Y was also observed in ^(299)***,the nuclei ^(300)124 and ^(306)126 exhibit ^(96)Mo *** reported regions of beta-plus and heavyparticle radioactivity for superheavy nuclei are stronger than those for alpha *** identified decay modes for superheavy nuclei are presented in a *** study is intended to serve as a reference for identifying possible decay modes in the superheavy region.

关键词： Alpha decay Beta decay Heavy-particle radioactivity Branching ratios

Gamma and X-ray radiation compatibility of Ti–Ta–Hf–Zr alloys used for coronary stent applications

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Nuclear Science and Techniques 2018年第1期29卷 16-22页

作者： L. Seenappa H. C. Manjunatha K. N. Sridhar Chikka Hanumantharayappa department of Physics Government College for WomenKolar Karnataka 563101 India department of Physics Government First Grade CollegeKolar Karnataka 563101 India Vivekananda Degree College Bangalore Karnataka 560055India Research and Development Centre Bharathiar UniversityCoimbatore 641046 India

We have studied the gamma and X-ray radiation compatibility of Ti-based alloys such as Ti–37 Ta–26 Hf–13 Zr-24(wt%) [Alloy 1], Ti–40 Ta–22 Hf–11.7 Zr-26.3(wt%) [Alloy 2], Ti–45 Ta–18.4 Hf–10 Zr-26.6(wt%) [Alloy3], Ti–50 Ta–15 Hf–8 Zr-27(wt%) [Alloy 4], Ti–55 Ta–12 Hf–7 Zr-26(wt%) [Alloy 5], and Ti–60 Ta–10 Hf–5 Zr-25(wt%) [Alloy 6]. Gamma and X-ray radiation compatibility is studied by evaluating the mass attenuation coefficient,mean free path, HVL, TVL effective atomic number,effective electron density, exposure buildup factor, and relative dose. We have compared these parameters for studied alloys with that of arteries. The alloys Ti–55 Ta–12 Hf–7 Zr-26 and Ti–60 Ta–10 Hf–5 Zr-25 have added properties such as gamma/X-ray radiation compatibility,high elastic admissible strain, high mechanical strength,and excellent biocompatibility. Hence, we may suggest that, among Ti–Ta–Hf–Zr alloys, these alloys are best materials for coronary stent applications.

关键词： Stentalloys X-ray Gamma Mass attenuation coefficient

Coefficient Estimates for a Certain General Subclass of Analytic and Bi-Univalent Functions

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Applied mathematics 2014年第7期5卷 1047-1052页

作者： Nanjundan Magesh Jagadeesan Yamini department of mathematics Govt First Grade College Bangalore India Post-Graduate and Research department of mathematics Government Arts College for Men Krishnagiri India

Motivated and stimulated especially by the work of Xu et al. [1], in this paper, we introduce and discuss an interesting subclass of analytic and bi-univalent functions defined in the open unit disc U. Further, we find estimates on the coefficients and for functions in this subclass. Many relevant connections with known or new results are pointed out.

关键词： Analytic Functions Univalent Functions Bi-Univalent Functions Bi-Starlike Functions

Effect of variable liquid properties on peristaltic transport of Rabinowitsch liquid in convectively heated complaint porous channel

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Journal of Central South University 2019年第5期26卷 1116-1132页

作者： Hanumesh VAIDYA Rajashekhar CHOUDHARI Manjunatha GUDEKOTE Kerehalli Vinayaka PRASAD department of mathematics SSA Government First Grade College (Autonomous)BallariKarnataka583101India department of mathematics Manipal Institute of TechnologyManipal Academy of Higher EducationManipalKarnataka576104India department of mathematics Vijayanagara Srikrishnadevaraya UniversityBallariKarnataka583105India

The present paper emphasizes the peristaltic mechanism of Rabinowitsch liquid in a complaint porous channel under the influence of variable liquid properties and convective heat *** effect of inclination on the complaint channel walls has been taken into *** viscosity of the liquid varies across the thickness of the complaint channel,whereas,thermal conductivity varies concerning *** nonlinear governing equations are solved by using perturbation technique under the long wavelength and small Reynold’s number *** expressions for axial velocity,temperature,the coefficient of heat transfer and streamlines are obtained and analyzed *** above said physiological phenomena are investigated for a specific set of relevant parameters on dilatant,Newtonian and pseudoplastic fluid *** results presented here shows that the presence of variable viscosity,porous parameter and slip parameter significantly affects the flow quantities of dilatant,Newtonian and pseudoplastic fluid *** investigation further reveals that an increase in the value of variable viscosity and porous parameters enhances the occurrence of trapping ***,the size of trapped bolus can be eliminated with suitably adjusting the angle of inclination parameter.

关键词： Rabinowitsch liquid Biot number porous parameter thermal conductivity variable viscosity velocity slip

Kelvin-Helmholtz Instability in a Fluid Layer Bounded Above by a Porous Layer and Below by a Rigid Surface in Presence of Magnetic Field

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Applied mathematics 2012年第6期3卷 564-570页

作者： Krishna B. Chavaraddi Nagaraj N. Katagi Vishwanath B. Awati department of mathematics Government First Grade College Yellapur India department of mathematics Maharani’s Science College for Women Bangalore India department of mathematics Manipal Institute of Technology Manipal India

We study the stability of an interface between two fluids of different densities flowing parallel to each other in the presence of a transverse magnetic field. A simple theory based on fully developed flow approximations is used to de-rive the dispersion relation for the growth rate of KHI. We replace the effect of boundary layer with Beavers and Joseph slip condition. The dispersion relation is derived using suitable boundary and surface conditions and results are discussed graphically. The magnetic field is found to be stabilizing and the influence of the various parameters of the problem on the interface stability is thoroughly analyzed. These are favorable to control the surface instabilities in many practical applications discussed in this paper.

关键词： KHI Magnetic Field BJ-Slip Condition Porous Layer Dispersion Relation

Semi Numerical Solution for a Boundary Value Problem

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American Journal of Computational mathematics 2013年第1期3卷 43-47页

作者： N.P. Pai N. N. Katagi Krishna B. Chavaraddi department of mathematics Manipal Institute of Technology Manipal University Manipal India government first grade College Yellapur India

The flow of viscous incompressible fluid through a tube is considered. The similarity transformation is used to reduce the governing equations into nonlinear ordinary differential equation. The solution procedure includes application of long series analysis with polynomial coefficients. The series representing physical parameters ( ) reveal qualitative features which are comparable to pure numerical results. The analysis enables in extending region of validity. A complete description of the solutions is presented.

关键词： Computer Extended Series Domb-Sykes Plot Pade’ Approximants Polynomial Coefficients

Study of Surface Instability of Kelvin-Helmholtz Type in a Fluid Layer Bounded above by a Porous Layer and below by a Rigid Surface

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World Journal of Mechanics 2011年第6期1卷 267-274页

作者： Nanjundappa Rudraiah Krishna Basappa Chavaraddi Inapura Siddagangaiah Shivakumara Bangalore Mahadevaiah Shankar UGC-Centre for Advanced Studies in Fluid Mechanics Department of Mathematics Bangalore University department of mathematics Government First Grade College Yellapur department of Science and Humanities PES Institute of Technology

The surface instability of Kelvin-Helmholtz type bounded above by a porous layer and below by a rigid surface is investigated using linear stability analysis. Here we adopt the theory based on electrohydrodynamic as well as Stokes and lubrication approximations. We replace the effect of boundary layer with Beavers and Joseph slip condition. Here we have studied the combined effect of electric and magnetic fields on Kelvin-Helmholtz instability (KHI) in a fluid layer bounded above by a porous layer and below by a rigid surface. The dispersion relation is obtained using suitable boundary and surface conditions and results are depicted graphically. Also the ratio Gm is numerically computed for different values of We and M given in the Table 1. From this it is clear that the combined effect of electric and magnetic fields with porous layer are more effective than the effect of compressibility in reducing the growth rate of RTI. Also, these results shows that with a proper choice of magnetic field it is possible to control the growth rate of Electrohydrody-namic KHI (EKHI) and hence can be restored the symmetry of IFE target.

关键词： Electrohydrodynamics KHI Magnetic Field BJ-Slip Condition Porous Layer