Vol. 6 & Issue 3 ; Section C : Physical Sciences

Date : May 2016 to July 2016


Peristaltic Flow of Micropolar Fluid with Suspended Nanoparticles in an Asymmetric Channel with Flexible Walls

V. P. Rathod and D. Sanjeevkumar, 

  • Abstract

    Peristaltic flow of a micropolar fluid immersed with nanoparticles through an asymmetric channel, having flexible walls is studied. General boundary conditions on velocity, temperature and concentration of nanoparticles and coupled boundary conditions between velocity and microrotation are considered. Thermophoresis and Brownian diffusion effects are taken into account while modeling contribution through nanoparticles. The governing equations of motion reduce to a system of partial differential equations under long wave length approximation and low Reynolds number limit. Closed form solutions of the resultant partial differential equations are obtained in case of velocity, microrotation, temperature distribution and nanoparticle concentration distribution. Effects of various physical parameters like,micropolar fluid parameters, Biot numbers, thermophoresis parameter, Brownian motion parameters on, velocity profiles, microrotation, temperature distribution, nanoparticle concentration distribution and pressure rise are discussed. The results of this paper may lead to possible technological applications in the field of biomedicine.

Photometric and Hα Studies of Two Extreme Mass-Ratio Short Period Contact Binaries in the Direction of Open Cluster Praesepe

J. Rukmini and D. Shanti Priya

  • Abstract

    We present the high precession photometric studies in V band and spectroscopic studies centered around Hα line for two extreme mass-ratio short period contact binaries ASAS J082243+1927.0 (V1) and ASAS J085710+1856.8 (V2). The variables in study are in the direction of open cluster Praesepe. From the light curve analysis V1 was found to be a low mass-ratio over-contact binary of A-type, with a mass ratio q~0.121 and fill-out factor f~72%, and V2 was found to be a low mass contact binary of W-type, with a mass-ratio q~1.29 and fill-out factor f~11% (marginal contact). The study of Hα absorption line profile of both the variables shows variation in equivalent widths (EWs) with orbital phases. The mean EWs of the Hα line were obtained as 1.6±0.13 Å and 1.18±0.12 Å for V1 and V2 respectively. The variation of Hα absorption with respect to phase is explained to be due to chromospheric activity in V1, as evident from the O’Connell effect and that due to chromospheric flares/winds or photospheric source in V2. The parameters for both the binaries are also studied with respect to the large sample of well-studied contact binaries and possible mechanisms for merger in contact binaries of both low and high mass ratios emphasized.

LRS Bianchi Type - V String Dust Cosmological Models with Decaying Vacuum Energy

Varun Humad, Harish Nagar and Sapna Shrimali

  • Abstract

    We have investigated LRS Bianchi Type - V string dust cosmological models with decaying vacuum energy. To get the deterministic model of the universe, we assume that rest energy density (ρ) is equal to the string tension density(λ) and vacuum energyΛ∝H2 being mean Hubble parameter. Some physical and geometrical features of the model are also discussed

Emerging Trends in Nanopolymer Composite Materials

M.C. Rao and K. Ravindranadh

  • Abstract

    Polymer nanoparticle composite materials have attracted the interest of a number of researchers, due to their synergistic and hybrid properties derived from several components. Polymer composites are multi-phase materials produced by combining polymer resins such as polyester, vinyl ester and epoxy, with fillers and reinforcing fibers to produce a bulk material with properties better than those of the individual base materials. Fibers are used to reinforce the polymer and improve mechanical properties such as stiffness and strength. Nano size filler materials provide new opportunities for improving plastic composite materials. Metal oxides play a very important role in many areas of chemistry, physics and materials science. The metal elements are able to form a large diversity of oxide compounds .Semiconductor quantum dots can be tuned and adjusted for many applications, including optics, medicine, and quantum computation. Semiconductor quantum dots can be tuned and adjusted for many applications, including optics, medicine and quantum computation. Quantum dots are used in biolabeling, in anti-counterfeiting applications to create special inks, in dyes and paints, in light displays and in chemical sensing.

A Theoretical Study of Harmonically Trapped Few-Boson Systems and an Evaluation of Occupation Number Per Particle of Two-Boson System Interacting Through the Pseudopotential Vps

Shanker Kumar Singh, Ajay K. Singh and L.K. Mishra

  • Abstract

    Using the theoretical formalism of K. M. Daily etal [arXiv: 1203.4586v2 (cond-mat. Quant.gas, 14, May (2012)] and F. Deuretzbacher etal (Phys. Rev A81, 063616 (2010)), we have theoretically studied harmonically trapped few-boson system and evaluated occupation number per particle of two-boson sysyem interacting through pseudopotential Vps. We have evaluated the quantity{[as(0)]2/re/r3o} as a function of [as(0)/ro] in a weakly –interacting regime and the quantity (re/ro) as a functiun of[as(0)/ro]−1 in a strongly-interacting regime for Gaussian model potential Vg. Our theoretically evaluated results indicate that {[as(0)]2/re/r3o} goes to Zero as [as(0)/ro]→0. The effective range (re/ro) is finite and positive as |as(0)|→0. It varies linearly for small [as(0)/ro]−1 with negative slope. On solving equation (18) and (19), we have evaluated relative energies (2/Erel/ωh) as a function of [as(0)/ah0]for l=0. Our evaluatedresults indicate that (E2rel/hω) increases with[as(0)/ah0] for both regimes. Our evaluated results for the occupation numbers (nν00/2) as a function of (E2rel/hω) for ν =0, 1 and 2 indicate that the values increases with (E2rel/hω) for all the three values of ν. Our theoretically evaluated results are in good agreement with other theoretical workers. Our results show that the occupation numbers are not fully determined by the usual effective range eapansion. It also depends on the two-body wave function.

Influence of Zirconia Addition on Corrosion Behavior of Titanium Coated With Hydroxyapatite by Electrophoretic Deposition (EPD)

Aqeel Faleeh Hasan, Abdul Husain Khudhair Ltaief, Jamal Fadhil Hamodi

  • Abstract

    In this research, the corrosion behavior of adding zircona to hydroxyapatite coated by electrophoretic deposition (EPD) on commercially pure titanium (cpTi) are investigated. Nanoparticle hydroxyaptite (<40 nm) and nananoparticle zirconia (<30 nm) are used in the EPD process, the samples coated at a different periods (2, 4, 6) minutes; sintered at 500 °C in air; the morphology of coated samples are investigated by X-ray diffraction test (XRD), optical microscope images and Scanning electron microscope (SEM) .The corrosion behavior are investigated by measuring open circuit potential and polarization curves. The corrosion charecteristics was improved ,the open circuit potential (OCP) for coated metal reached to (-0.262) volt compared with (-0.528) volt to uncoated metal , the corrosion rate reduced to (1.2*10-3 mm/y ) for coated metal compared with (1.18*10-2 mm/y) for uncoated metal with the achievement of a homogeneous coating on whole area of the metal.

The Effect of the Difference Filters on the X-Ray Spectrum

Halo D. Omar, Bashdar I. Meena

  • Abstract

    X-rays are attenuated as they pass through matter, So that the transmitted beam is weaker than the incident beam. The intensity is the characteristic lines in the filtered and unfiltered spectrum. A goniometer with NaCl crystal and a detector in the Bragg configuration are used to record the intensities as a function of the wavelength. The crystal and counter tube are pivoted with respect to the incident x-ray beam. Investigate the Z-dependency of the attenuation coefficient μ. Replace the Al foil with the Fe, Cu, Zr and Ag foils one after another and conduct further measurements. The wavelength is dependency to the coefficient of attenuation.

A Theoretical Evaluation of Condensate Fraction (N0/N) of the Weakly-Interacting N-Boson System as a Function of [As (0)/Ah0] in Harmonically Trapped Few-Boson Systems

Shanker Kumar Singh, Ajay K. Singh and L.K. Mishra

  • Abstract

    Using the theoretical formalism of K. M. Daily et al [arXiv: 1203.4586v2 (cond-mat. Quant. gas, 14, May (2012)] and N. Bartolo et al (Phys. Rev A88, 023602 (2013)), we have theoretically evaluated condensate fraction [N0/N] as a function of [as (0)/ah0] for N=3 and N=3 bosons interacting through shape-dependent Gaussian model potential Vg with r0=0.01ah0. We observed that the perturbative predictuion does not provide good description of the dependence of the depletion. A non-universal contributions need to be included in the calculation. We evaluated the non-universal two-body parameter D0 but it was seen that it does not improve the result. It confirms that D0 alone cannot give better results and one has to include three-body parameters. Our theoretically evaluated results are in good agreement with other theoretical workers. This work also demonstrate that low-energy Hamiltonian has not only importance in cold atomic Bose gas but other branches of physics also where one uses this approach very effectively.

Studies on Gamma-Ray Shielding Parameters of Polymer Containing Lead Oxide Composites from 1 keV to 100 GeV

A.M. Osman

  • Abstract

    The gamma-ray shielding parameters of polymer composites containing different percentages of lead oxide (0%, 10%, 20%, 30%, 40% and 50%) were theoretically calculated using XCOM program. The characteristics of gamma-ray shielding parameters for the composite of different lead oxide were found to be dependent on energy regions. At low-energy region, the radiation shielding parameters show several discontinuous jumps correspond to photoelectric absorption edges. At medium-energy region, the radiation shielding parameters are almost constant and the effective atomic number is close to the mean atomic number, dominated by Compton scattering process. In high-energy regions, pair production becomes the main interaction process and tends to be constant over energy. The investigation was carried out to explore the advantages of the polymer composites in gamma-ray shielding applications. The obtained results were used to calculate effective atomic number and electron densities for the same range of energy.

Common Fixed Point Theorem Satisfying Integral Type Implicit Relations in Semi Cone Metric Space

Namita Soni, Akhilesh Pariya and V.H. Badshah

  • Abstract

    In this paper, we prove a common fixed point theorem for occasionally weakly compatible mappings satisfying integral type implicit relations in semi cone metric spaces. Our result extends and generalize some results of Cho et al. Pathak et al. Aliouche, Aliouche and Popa and Badshah and Pariya and others.

Five Dimensional Bianchi Type-I Cosmological Model with Perfect Fluid in Barber’s Second Self Creation Theory

Ajit Kumar Bhabor, Mayank Karan Singh Ranawat and Ghanshyam Singh Rathore

  • Abstract

    In this paper we have investigated a Bianchi type-I cosmological model in Barber’s second self-creation theory in presence of perfect fluid. To get deterministic solution we have assumed that ρ=4p, where ρ is energy density and p is isotropic pressure. The various physical and kinematical aspects of the model are also discussed

A Theoretical Studies of Optical Properties of Quantum Wire and Evaluation of Refractive Index Changes as a Function of Photon Energy for Different Incident Optical Intensities with Fixed Length of Quantum Wire

Sanjay Kumar, A. B. Gautam and L. K. Mishra

  • Abstract

    Using the theoretical formalism of Reza Khordad [J. Theor & Appl. Phys, 6,19(2012)] and R Khordad etal [Commun. Theor Phys, 57, 1076(2012)], we have theoretically studied the optical properties of quantum wire. We have evaluated intersubband optical refractive index changes of the wire as a function of photon energy. The evaluation has been performed in two ways: (1) Keeping length of the wire fixed and varying the incident optical intensity (2) Keeping incident optical intensity fixed and varying the length of the wire. We observed yhay in the first case the total refractive index changes decreases with increase of the optical intensity. In the second case, the total refractive index changes decreases as the quantum size decreases. These results have great importance in the quantum confinement of the charge carriers of the nanostructured material. Our theoretically evaluated results are in good agreement with the other theoretical workers .

Representing Double Dirichlet Average in Term of K Mittag-Leffler Function Associated With Fractional Derivative

Jitendra Daiya

  • Abstract

    The object of this article is to investigate the Double Dirichlet averages of KMittag-Leffer functions introduced by Saxena, daiya and Singh. Representations of such relations are obtained in terms of fractional derivative. Some interesting special cases findings.

A Theoretical Evaluation of Optical AbsorptionCoefficient as a Function of Photon Energy for
Different Incident Optical Intensities with Fixed Length of Quantum Wire

Sanjay Kumar , A.B. Gautam  and L. K. Mishra

  • Abstract

    Using the theoretical formalism of Reza Khordad [J. Theor & Appl. Phys, 6, 19 (2012)] and R Khordad et al [Commun. Theor Phys, 57, 1076 (2012)], we have theoretically studied the optical properties of quantum wire. We have evaluated intersubband optical absorption coefficients of the wire as a function of photon energy. The evaluation has been performed in two ways: (1) Keeping length of the wire fixed and varying the incident optical intensity (2) Keeping incident optical intensity fixed and varying the length of the wire. We observed that in the first case the total absorption coefficients decreases with increase of the optical intensity. In the second case, the total absorption coefficients decrease as the quantum size increases. These results have great importance in the quantum confinement of the charge carriers of the nanostructured material. This work will also help in the fabrication of optoelectronics and photonic devices. Our theoretically evaluated results are in good agreement with the other theoretical workers .

Thermosolutal Convection of Micropolar Fluids in the Presence of Suspended Particles

Veena Sharma  and Sumit Gupta

  • Abstract

    This paper deals with the convection of micropolar fluids heated and soluted from below in the presence of suspended particles (fine dust). The critical Rayleigh number for the onset of ordinary cellular convection and the onset of overstability are computed numerically using Newton-Raphson method through the software Fortran-90 and MathCAD. Graphs are plotted by giving permissible numerical value to the nondimensional suspended particles number density, dynamic microrotation viscosity and the coefficient of angular viscosity respectively to depict the stability characteristics. It is found that these critical Rayleigh numbers increase with the increase in the stable solute parameter implying thereby the stabilizing effect on the system and increases with increase in micropolar coefficients depicting thereby the stabilizing effect. Thus there is a competition between the stabilizing effect of solute parameter and micropolar coefficients and destabilizing effect of suspended particles number density.

Sol-Gel Synthesis and Characterization of Nanocrystalline Co Substitution on the Properties of SrTiO3 for Gas Sensor Application

A.B. Bodade and B. T. Dhoble

  • Abstract

    Nanocrystalline SrTiO3 calcined at 550°C having an average crystallite size of 22 nm were synthesized by the sol-gel citrate method. Structural and gas-sensing characteristics were performed by using X-ray diffraction (XRD), Transmission Electron microscopy (TEM) and sensitivity measurements. The gas sensing properties to reducing gases like Hydrogen sulphide (H2S), liquefied petroleum gas (LPG), carbon monoxide (CO) and ammonia gas (NH3) were also discussed. The maximum sensitivity was obtained for SrTi1-xCoxO3(x=0.2) at an operating temperature 200oC for ammonia gas. Pd incorporation over Co substituted SrTi0.8Co0.2O3 improved the sensitivity, selectivity, response time, and reduced the operating temperature from 250 to 150oC of the H2S sensors.

Generalized Fractional Integral and Derivative Formulas for a product of H(bar) -Function and a General Class of Polynomials

Rajeev Kumar Gupta, Bhupender Singh Shaktawat and Dinesh Kumar

  • Abstract

    The aim of the present paper is to study some new unified integral and derivative formulas involving the product of H(bar) -function1,2 and a general class of polynomials 3 with essentially arbitrary coefficients. The results are obtained in terms of two variables H(bar) -function4. By conveying suitable values to these coefficients, the obtained results can be reduced to the resultant integral formulas involving the classical orthogonal polynomials including, for example, Legendre, Hermite, Jacobi and Laguerre polynomials. In addition, the H(bar) -function occurring in each of our main results can be concentrated to simpler functions under various special cases such as the generalized Wright hypergeometric function and generalized Wright-Bessal function. A specimen of some of these interesting  applications of our main integral formulas is presented briefly. 

Using of Ultrasonic Wave to Prepare the Hydroxyapatite for Biomaterials Applications

Aqeel Faleeh Hasan, Abdulhussain K. Elttayef, Jamal Fadhil Hamodi

  • Abstract

    In this research the synthesis of hydroxyapatite using ultrasonic wave, the effect of pH, presonicatin time and duplicate reactant concentration on the hydroxyapatite properties was investigated. A solution consist of 0.4 M calcium nitrate monohydrate Ca(NO3)2.H2O and 0.19 M diamonium hydrogen phosphate (NH4)2HPO4 was used  ,ultrasonic bath was used for reaction ,the product was filtered and calcined at 800°C under air atmosphere , the product characterization identified by XRD. FTIR, SEM, Laser particle size analyzer and AFM. The reactant  was changed by using disodium hydrogen phosphate Na2HPO4 instead of calcium nitrate and calcium hydroxide Ca(OH)2 and phosphoric acid H3PO4 also used for synthesis the hydroxyapatite, the characteristics was invistegated by the same previous tests and  evidently that the hydroxyapatite produced from calacium nitrate and calcium hydroxide was phase pure and not contain undesirable phases ( brushite or monotite) and has particle size about 20 nm , while the product from disodium hydrogen phosphate was not phase pure and contain monotite.

Structural and Morphological Properties of CdSe0.9Au0.1 Annealed Thin Films Deposited by Vacuum Thermal Evaporation Technique

N.T.Talele, M.S.Kale and D.S.Bhavsar

  • Abstract

    The CdSe0.9Au0.1 thin films were deposited on amorphous glass substrate by vacuum thermal evaporation technique under the pressure of 10-5 torr. The structural and surface morphological properties of deposited films were studied by using X-ray diffraction (XRD), Scanning Electron Microscopy (SEM). The elemental analysis is done by using the EDAX technique. The XRD patterns show that the grown thin films are of polycrystalline in nature having hexagonal structure. The SEM images reveal that films have plate like structure. The EDAX pattern detects the present number of elements.

Generalized Fractional Differintegral Operators of the Aleph-Function of two Variables

Dinesh Kumar

  • Abstract

    The object of this article is to study and develop the generalized fractional calculus operators given by Saigo and Maeda1 for Aleph function of two variables 2. The results obtained provide unification and extension of the results given by Saxena et al.3-5, Kumar and Choi 6, Ram and Kumar 7. The results are obtained in compact form and are useful in preparing some tables of operators of fractional calculus. On account of the general nature of the Saigo-Maeda operators and Aleph-function of two variables a large number of new and known results involving fractional calculus operators and several special functions notably H - function of two variables and H - function of two variables follow as special cases of our main findings. 2010 Mathematics Subject Classifications: 26A33, 33E20, 33C45, 33C60, 33C70.