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Quantum model of Bertrand Duopoly

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Chinese Physics Letters 2010年第8期27卷 11-14页

作者： Salman khan m. Ramzan m. K. khan Department of Physics Quaid-i-Azam University lslamabad 45320 Pakistan

We present a quantum model of Bertrand duopoly and study the entanglement behavior on the profit functions of the firms. Using the concept of optimal response of each firm to the price of the opponent, we find only one Nash equilibirum point for the maximally entangled initial state. The presence of quantum entanglement in the initial state gives payoffs higher to the firms than the classical payoffs at the Nash equilibrium. As a result, the dilemma-like situation in the classical game is resolved.

关键词： Firmness Enterprises Quantum model

Kachchh (India) earthquake 2001——causes,severity and impact on groundwater resources

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Journal of Environmental Sciences 2003年第4期15卷 500-505页

作者： m.A.khan m.L.Sharma CentralAridZoneResearchInstitute CentralAridZoneResearchInstitute Jodhpur342003IndiaJodhpur342003India

Earthquake 2001 in Bhuj region of Kachchh district of Gujarat(India) was one of the most devastating earthquakes in the Indian history. This earthquake has caused severe damage to human life and properties. The impact of earthquake on groundwater resources at many locations was significant. Steep rise in static water level due to earthquake was observed at Bhachau and Chandarani. At other location groundwater followed the declining trend.

关键词： earthquake geology groundwater Bhuj, Kachchh

magnetohydrodynamic Stagnation Point Flow of a maxwell Nanofluid with Variable Conductivity

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Communications in Theoretical Physics 2019年第12期71卷 1493-1500页

作者： m.Irfan m.khan W.A.khan m.Alghamdi Department of mathematics Quaid-i-Azam UniversityIslamabad 44000Pakistan School of mathematics and Statistics Beijing Institute of TechnologyBeijing 100081China Department of mathematics Faculty of ScienceKing Khalid UniversityAbha 61413Kingdom of Saudi Arabia

This article reports the simultaneous properties of variable conductivity and chemical reaction in stagnation point flow of magneto maxwell *** Buongiorno’s theory has been established to picture the inducement of Brownian and thermophrotic diffusions ***,the aspect of heat sink/source is *** homotopic analysis method(HAm)has been worked out for the solution of nonlinear *** behavior of inferential variables on the velocity,temperature,concentration and local Nusselt number for maxwell nanofluid are sketched and *** attained outcomes specify that both the temperature and concentration of maxwell fluid display analogous behavior,while the depiction of Brownian motion is quite conflicting on both temperature and concentration *** is further noted that the influence of variable thermal conductivity on temperature field is similar to that of Brownian motion ***,for the confirmation of our study comparison tables are reported.

关键词： maxwell nanofluid stagnation point flow magnetohydrodynamic(mHD) variable conductivity chemical reaction

Radioactivity Levels and Gamma-Ray Dose Rate in Soil Samples from Kohistan （Pakistan） Using Gamma-Ray Spectrometry

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Chinese Physics Letters 2011年第1期28卷 226-229页

作者： Hasan m. khan m. Ismail K. khan P. Akhter National Center of Excellence in Physical Chemistry University of Peshawar Peshawar 25120 Pakistan Health Physics Division PINSTECH P. O. Nilore Islamabad Pakistan

The analysis of naturally occurring radionuclides （226Ra, 232 Th and 40 K） and an anthropogenic radionuclide 13r Cs is carried out in some soil samples collected from Kohistan district of N.W.F.P. （Pakistan）, using gamma-ray spectrometry. The gamma spectrometry is operated using a high purity Germanium （HPGe） detector coupled with a computer based high resolution multi channel analyzer. The specific activity in soil ranges from 24.72 to ***-1 for 22TRa, 21.73 to ***- 1 for 232Th, 7.06 to *** 1 for 1arcs and 298.46 to ***-1 for 40K with the mean values of 42.11, 43.27, 9.5 and ***-1, respectively. The radium equivalent activity in all the soil samples is lower than the safe limit set in the OECD report （370 ***-1）. man-made radionuclide 13r Cs is also present in detectable amount in all sell samples. Presence of 13r Us indicates that the samples in this renlote area also recelvo some fallout from nuclear accident in Chernobyl power plant in 1986. The internal and external hazard indices have the mean values of 0.48 and 0.37 respectively. Absorbed dose rates and effective dose equivalents are also determined for the samples. The concentration of radionuclides found in the soil samples during the present study is nominal and does not pose any potential health hazard to the general public.

关键词： Instrumentation and measurement Environmental and Earth science

Optical and electrical properties of electrochemically deposited polyaniline/CeO2 hybrid nanocomposite film

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Journal of Semiconductors 2011年第4期32卷 25-30页

作者： Anees A.Ansari m.A.m.khan m.Naziruddin khan Salman A.Alrokayan m.Alhoshan m.S.Alsalhi King Abdullah Institute for Nanotechnology King Saud UniversityRiyadh-11451P.O.Box-2454Saudi Arabia Department of Chemical Engineering King Saud UniversityP.O.Box 800Riyadh 11421Saudi Arabia

This paper reports the optical and electrical properties of electrochemically deposited polyaniline （PANI）/cerium oxide（CeO;） hybrid nano-composite film onto indium-tin-oxide（ITO） glass ***-visible spectroscopy andⅠ-Ⅴcharacteristic were performed to study the optical and electrical parameters of the electrochemically deposited *** film exhibited a strong absorption below 400 nm（3.10 eV） with a well defined absorbance peak at around 285 nm（4.35 eV）.The estimated band gap of the CeO;sample was 3.44 eV,higher than bulk CeO;powder（E;= 3.19 eV） due to the quantum confinement *** and electrochemical characteristics indicated that the electrical properties of PANI/CeO;hybrid nanocomposite film arc dominated by PANI doping.

关键词： cerium oxide polyaniline nanocomposite optical properties electrical properties

Transient flow of magnetized maxwell nanofluid: Buongiorno model perspective of Cattaneo-Christov theory

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Applied mathematics and mechanics(English Edition) 2020年第4期41卷 655-666页

作者： m.khan A.AHmED J.AHmED Department of mathematics Quaid-i-Azam UniversityIslamabad 44000Pakistan Department of Basic Sciences University of Engineering and TechnologyTaxila 47050Pakistan

The present research article is devoted to studying the characteristics of Cattaneo-Christov heat and mass fluxes in the maxwell nanofluid flow caused by a stretching sheet with the magnetic field *** maxwell nanofluid is investigated with the impact of the Lorentz force to examine the consequence of a magnetic field on the flow characteristics and the transport of *** heat and mass transport mechanisms in the current physical model are analyzed with the modified versions of Fourier’s and Fick’s laws,***,the well-known Buongiorno model for the nanofluids is first introduced together with the Cattaneo-Christov heat and mass fluxes during the transient motion of the maxwell *** governing partial differential equations(PDEs)for the flow and energy transport phenomena are obtained by using the maxwell model and the Cattaneo-Christov theory in addition to the laws of *** transformations are used to convert the PDEs into a system of nonlinear ordinary differential equations(ODEs).The homotopic solution methodology is applied to the nonlinear differential system for an analytic *** results for the time relaxation parameter in the flow,thermal energy,and mass transport equations are discussed *** is noted that higher values of the thermal and solutal relaxation time parameters in the Cattaneo-Christov heat and mass fluxes decline the thermal and concentration fields of the ***,larger values of the thermophoretic force enhance the heat and mass transport in the ***,the Brownian motion of the nanoparticles declines the concentration field and increases the temperature *** validation of the results is assured with the help of numerical tabular data for the surface velocity gradient.

关键词： transient flow Cattaneo-Christov theory maxwell nanofluid Buongiorno model homotopy analysis method (HAm) solution

Thermal analysis in swirl motion of maxwell nanofluid over a rotating circular cylinder

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Applied mathematics and mechanics(English Edition) 2020年第9期41卷 1417-1430页

作者： A.AHmED m.khan J.AHmED Department of mathematics Quaid-i-Azam UniversityIslamabad 44000Pakistan Department of Basic Sciences University of Engineering and TechnologyTaxila 47050Pakistan

In this paper,the mechanism of thermal energy transport in swirling flow of the maxwell nanofluid induced by a stretchable rotating cylinder is *** rotation of the cylinder is kept constant in order to avoid the induced axially secondary ***,the novel features of heat generation/absorption,thermal radiation,and Joule heating are studied to control the rate of heat *** effects of Brownian and thermophoretic forces exerted by the maxwell nanofluid to the transport of thermal energy are investigated by utilizing an effective model for the nanofluid proposed by *** whole physical problem of fluid flow and thermal energy transport is modelled in the form of partial differential equations(PDEs)and transformed into nonlinear ordinary differential equations(ODEs)with the help of the suitable flow *** acquired results through the technique bvp4c are reported graphically with physical *** analysis reveals that there is higher transport of heat energy in the maxwell nanoliquid for a constant wall temperature(CWT)as compared with the prescribed surface temperature(PST).Both thermophoretic and Brownian forces enhance the thermal energy transport in the flowing maxwell ***,the temperature distribution increases with increasing values of the radiation parameter and the Eckert *** is also noted that an increase in Reynolds number reduces the penetration depth,and as a result the flow and transport of energy occur only near the surface of the cylinder.

关键词： maxwell nanofluid rotating cylinder heat source/sink Joule heating convective condition numerical solution

Boundary layer flow of maxwell fluid due to torsional motion of cylinder: modeling and simulation

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Applied mathematics and mechanics(English Edition) 2020年第4期41卷 667-680页

作者： m.khan A.AHmED J.AHmED Department of mathematics Quaid-i-Azam UniversityIslamabad 44000Pakistan Department of Basic Sciences University of Engineering and TechnologyTaxila 47050Pakistan

This paper investigates the boundary layer flow of the maxwell fluid around a stretchable horizontal rotating cylinder under the influence of a transverse magnetic *** constitutive flow equations for the current physical problem are modeled and analyzed for the first time in the *** torsional motion of the cylinder is considered with the constant azimuthal velocity *** partial differential equations(PDEs)governing the torsional motion of the maxwell fluid together with energy transport are simplified with the boundary layer *** current analysis is valid only for a certain range of the positive Reynolds ***,for very large Reynolds numbers,the flow becomes ***,the governing similarity equations are simplified through suitable transformations for the analysis of the large Reynolds *** numerical simulations for the flow,heat,and mass transport phenomena are carried out in view of the bvp4c scheme in *** outcomes reveal that the velocity decays exponentially faster and reduces for higher values of the Reynolds numbers and the flow penetrates shallower into the free stream *** is also noted that the phenomenon of stress relaxation,described by the Deborah number,causes to decline the flow fields and enhance the thermal and solutal energy transport during the fluid *** penetration depth decreases for the transport of heat and mass in the fluid with the higher Reynolds *** excellent validation of the numerical results is assured through tabular data with the existing literature.

关键词： torsional motion maxwell fluid magnetic field stretchable rotating cylinder bvp4c scheme

Radiation induced decontamination of Cr(Ⅵ),Cu(Ⅱ) and phenol in some tannery effluents

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Nuclear Science and Techniques 2007年第4期18卷 212-217页

作者： Hasan m. khan Abdul mAHmOOD Radiation Chemistry Laboratory National Centre of Excellence in Physical ChemistryUniversity of PeshawarPeshawar 25120Pakistan

Industrialization has led to a number of environmental problems, such as release of toxic metals and other toxic organic and inorganic compounds to the environment. Among all, the rapid expansion of leather related industries in Pakistan have resulted in considerable environmental problems and effluents from processing of both domestic and imported hides and skins have increased pollution to alarming levels. Some tannery effluents of Peshawar area investigated in the present study showed high concentrations of Cr(Ⅵ) (2.7-12.6 mg/L), Cu(Ⅱ) (2.6-11.4 mg/L) and phenol (0.1-4.2 mg/L). These contaminants are very toxic and must be removed from effluents before releasing into water bodies. A new technique of gamma irradiation has been investigated to decrease the load of COD and concentrations of Cr(Ⅵ), Cu(Ⅱ) and phenol associated with tannery effluents to the permitted values. It was observed that concentration of Cr(Ⅵ) in the effluents can be brought to the permitted level by applying radiation dose of 3 kGy. A radiation dose of 2.5 kGy was required to remove more than 95% of Cu(Ⅱ) and 100 % degradation of phenol in tannery effluents could be achieved by only one kGy of radiation dose.

关键词：制革厂污水处理方法环境保护