{"title":"The effects of permeability and radiation on the stability of plane Couette-Poiseuille flow in a porous medium","authors":"A. Ngiangia","doi":"10.4314/JONAMP.V11I1.40200","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40200","url":null,"abstract":"A study on the effects of permeability and radiation on Couette-Poiseuille flow stability was carried out. Solutions to the governing hydrodynamic equations was developed using the method of undetermined coefficients. On the basis of linear theory using analysis of normal modes, it was observed that both parameters, independently affect the stability of Couette-Poiseuille flow but that of radiation is prominent at high wave numbers and Reynolds number regime. JONAMP Vol. 11 2007: pp. 87-94","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"11 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132487090","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the equivalence of Picard, Mann and Ishikawa iterations for a class of quasi-contractive operators","authors":"J. Olaleru","doi":"10.4314/JONAMP.V11I1.40194","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40194","url":null,"abstract":"We show that the Picard, Mann and the Ishikawa iterations are equivalent when applied to a class of quasi-contractive operators. This result generalises that of Soltuz among others. JONAMP Vol. 11 2007: pp. 51-56","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"482 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133486277","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Determination of the optical constants of a thin film supported on a thick transparent substrate","authors":"S. Azi, F. Okoro","doi":"10.4314/JONAMP.V11I1.40238","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40238","url":null,"abstract":"The full expression for the minima of transmission and reflection spectra of a thin absorbing film are unwieldy transcendental functions of wavelength. Exact solutions of these equations for optical constants are, therefore, not single valued but can be uniquely determined at the extrema of the spectra instead. The solutions require elaborate computer iteration procedures. For ease of computation, we derived the equation for the transmission minima and reflection maxima With Mathematica™. film constants N and K of a Ge 28 As 12 S 60 thin film were then calculated by solving the non linear equations simultaneously. the solution converged for 1.5 m spectra. Interestingly, published values are in excellent agreement with straightforward calculation using another closed form equation by Swanepoel (1983) with only transmission data. JONAMP Vol. 11 2007: pp. 423-428","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132657583","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Geophysical study of the aquifer characteristics along River Niger, Delta State, Nigeria","authors":"O. Egwebe, C. Aigbogun","doi":"10.4314/JONAMP.V11I1.40233","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40233","url":null,"abstract":"Geophysical survey was carried out in order to study aquifer characteristics (such as the depth, thickness and nature of soil materials above it) in the major communities along River Nigeria. Schlumberger vertical electrical sounding was conducted at Anieze, Obeza, Asaba-Okpai, Akashakpu, Obobo-Oyibo, Okpai, Oluchi, Umu-Ugboma, Iyede-Ame, Umuti-Agboh and Aboh town. The resistivity soundings were carried out with half electrode spacing in the range 1-681m and six point per decade. The results were used to determine the depth, thickness of the recommended aquifer and the thickness of clay above it. The results showed a recommended aquifer of thicknesses, 14.40-68.75m at depths, 21.65-34.20m, and a clay of thicknesses, 0-10.80m above it. JONAMP Vol. 11 2007: pp. 387-392","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"87 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127136118","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Investigation of beta dielectric dispersion in Bovine yellow bone marrow tissue","authors":"O. Osahon, Ee Aigbekaen","doi":"10.4314/JONAMP.V11I1.40243","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40243","url":null,"abstract":"The relative permitivity or dielectric constant, e΄ of bovine yellow bone marrow tissue has been investigated in this study at an average room temperature of 27.5 ± 0.5oC over a frequency range of 0.15MHz to 20MHz for s-dispersion using a resonance technique. This technique makes use of a marconi magnification meter TF 1245 working in conjunction with a radio frequently oscillator TF 1246. In general the tissue exhibited a decrease in dielectric constant, e΄ with increase in frequency until a lower steady value was attained at high frequency. JONAMP Vol. 11 2007: pp. 461-466","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"76 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131526851","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Anti-synchronization of two new different chaotic systems via active control","authors":"B. Idowu, Ue Vincent, Oa Obawole","doi":"10.4314/JONAMP.V11I1.40188","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40188","url":null,"abstract":"This paper investigates the anti-synchronization of chaos between two new different chaotic systems by using active control. Numerical simulations are used to show the robustness of the active control scheme in anti-synchronizing the two different coupled systems. JONAMP Vol. 11 2007: pp. 15-20","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"58 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131527783","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Time dependent two phase flows in Magnetohydrodynamics: A Greens function approach","authors":"B. Jha, Hm Jibril","doi":"10.4314/JONAMP.V11I1.40223","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40223","url":null,"abstract":"The present article presents a mathematical model to study the time dependent two phase magneto-hydrodynamic (MHD) flow in a parallel plat channel having one phase occupied by electrically conducting fluid and the other phase by non-conducting fluid. Both the phases were incompressible and the flow is assumed to be time dependent. The two regions are coupled by equating the velocity and shear stress at the interface. Using the Green's function approach, expressions for velocity in both phases were obtained for general class of time dependent movement of boundary or sudden change in pressure gradient or both. As a special case, expressions for time dependent velocity fields in both phases were obtained due to sudden change in the pressure gradient. JONAMP Vol. 11 2007: pp. 295-300","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"352 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123317495","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Analytical EAM alloy models for FCC metals.","authors":"S. Azi, E. Aghemenloh, J. Idiodi","doi":"10.4314/JONAMP.V11I1.40239","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40239","url":null,"abstract":"An analytic electron density function (r) and pair potential function (r) have been developed for FCC metals from their experimental binary alloy data. Values of the electron densities, derived from exact dilute limit heat of solution, were used to determine the pair potentials via the equation of state of Rose et al [3]. The parameters in the fitting functions have been calculated and tabulated in this study. JONAMP Vol. 11 2007: pp. 429-434","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"51 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116567119","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"On the static buckling of an externally pressurized finite circular cylindrical shell","authors":"A. Ette, J. Onwuchekwa","doi":"10.4314/JONAMP.V11I1.40226","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40226","url":null,"abstract":"The static buckling behaviour of an imperfect finite cylindrical shell, stressed by either a lateral or hydrostatic pressure, is here investigated by assuming that the imperfection can be regarded as the first term in the Fourier sine series expansion .The buckling modes are assumed to be in the shape of the imperfection which is in turn given in the shape of the classical buckling mode .Regular perturbation technique in asymptotic expansions of the relevant parameters is used and a simple expression for determining the static buckling load of the structure is determined. It is observed that , this procedure, perhaps more than other ones ,can be used to analyze relatively more complicated problems particularly where more demands and restrictions are placed on the imperfection parameter. The result is strictly asymptotic. JONAMP Vol. 11 2007: pp. 323-332","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"61 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124192622","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"The control operator for the optimal control model of higher order non-dispersive waves","authors":"Is Ukwosa, Sa Reju","doi":"10.4314/JONAMP.V11I1.40213","DOIUrl":"https://doi.org/10.4314/JONAMP.V11I1.40213","url":null,"abstract":"The control operator of the Extended Conjugate Gradient Algorithm for the control of two- dimensional higher order non-dispersive waves was constructed in the paper. Explicit expressions of each elements, Ri,j , of the operator, R, were computed. These elements are useful for the implementation of the Optimal Control Formulation of the model. JONAMP Vol. 11 2007: pp. 199-212","PeriodicalId":402697,"journal":{"name":"Journal of the Nigerian Association of Mathematical Physics","volume":"45 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2008-06-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126394101","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}