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Öğe Comparison study of modified and classical Hamilton-Crosser models for electrophoretic and thermophoretic particle deposition in stagnation point flow of diamond -SiC-Co3O4/diathermic oil-based trihybrid nanofluid(Springer, 2024) Ahmed M. Galal; Sahar Ahmed Idris; Munawar Abbas; Shaxnoza Saydaxmetova; Ali Hasan Ali; Humaira Kanwal; Ali AkgülThe current work examines the impact of heat generation on the stagnation point flow of a magnetized trihybrid nanofluid around a rotating sphere with electrophoretic and thermophoretic particle deposition. The trihybrid (Diamond –SiC–Co3O4/Do) nanofluid flow model consists of nanoparticles of Cobalt oxide (Co3O4), diamond (ND), and silicon carbide (SiC) dissolved in diathermic oil (DO). By comparing the modified model with the classical Hamilton–Crosser model, this study aims to investigate the heat transfer rate of a trihybrid nanofluid based on diamond –SiC–Co3O4/ diathermic oil. Through the analysis of trihybrid nanofluids based on diamond –SiC–Co3O4/Do diathermic oil, this model can optimize heat transmission in systems that need effective thermal management, like chemical reactors, electronics cooling, and energy storage. Trihybrid nanofluids' special qualities improve thermal conductivity, stability, and deposition control, which raises operational efficiency and dependability. It also helps with the design of sophisticated cooling systems for automotive and aerospace applications. These governing equations were solved with MATLAB's bvp4c tool after being transformed into ordinary differential equations via similarity variables. Results imply that, when compared to the classical model, the modified model accurately predicts higher heat transfer rates. As a consequence, trihybrid nanofluid heat transfer properties are better understood and thermal conductivity models are more accurate. The study shows that the concentration profile improved for both classical and modified Hamilton–Crosser models to enhance the values of electrophoretic particle deposition; while, inverse behavior is observed for thermophoretic particle deposition.Öğe Scrutinization of local thermal non-equilibrium effects on stagnation point flow of hybrid nanofluid containing gyrotactic microorganisms: a bio-fuel cells and bio-microsystem technology application(Springer, 2024) Okasha, Mostafa Mohamed; Abbas, Munawar; Formanova, Shoira; Faiz, Zeshan; Ali, Ali Hasan; Akgül, Ali; Galal, Ahmed M.The impact of Stefan blowing on the stagnation point flow of HNF (hybrid nanofluid) across a sheet containing gyrotactic microorganisms under local thermal non-equilibrium conditions (LTNECs) is briefly discussed in this paper. The present work uses a simplified mathematical model to inspect the characteristics of heat transfer in the absence of LTNECs (local thermal equilibrium conditions). LTNECs, traditionally provide two distinct fundamental temperature gradients for the liquid and solid phases simultaneously. A hybrid nanofluid is a mixture of water as the base fluid and single-walled carbon nanotubes and multi-walled carbon nanotubes. Gyrotactic microorganisms are included into nanoparticles to increase their thermal efficiency in a variety of systems, including microbial fuel cells, enzyme biosensors, bacteria powered micromixers, chip-shaped microdevices like bio-microsystems, and micro-volumes like microfluidic devices. This model can also help environmental engineering by enhancing wastewater treatment procedures by allowing microorganisms to break down pollutants more effectively. It advances the development of more productive photo bioreactors, increasing the output of biofuels in the field of renewable energy. Material scientists can utilize this concept to develop controlled nanostructured materials with consistent composition and thermal properties. The considerable similarity transformation is used to build ordinary differential equations for the nonlinear dimensionless system. This problem is solved numerically by using the Bvp4c method. The results determine that when the Stefan blowing parameter increases, fluid flow increases but temperature, mass transfer rate, and heat transfer are decreased.Öğe Öğe Öğe Öğe Delta(m)(p) Statistical Convergence of Order alpha(2018) Karakas, Abdulkadir; Altin, Yavuz; Et, MikailIn this work, we generalize the concepts of statistically convergent sequence of order alpha and statistical Cauchy sequence of order alpha by using the generalized difference operator Delta(m). We prove that a sequence is Delta(m)(p)-statistically convergent of order alpha if and only if it is Delta(m)(p)-statistically Cauchy of order alpha.Öğe On generalized statistical convergence of order β of sequences of fuzzy numbers(2014) A. Karakaş, Y. Altın, H. AltinokIn this article we introduce the concepts of Delta(m)(lambda)-statistical convergence of order beta and strong Delta(m)(lambda p)-summability of order beta for sequences of fuzzy numbers. Also, we establish some relations between the Delta(m)(lambda)-statistical convergence of order beta and strong Delta(m)(lambda p)-summability of order beta and we define w(lambda)(beta) (Delta(m), F, f, p), where f is a modulus function and give some inclusion relations.Öğe Almost statistical convergence of order of sequences of fuzzy numbers(2016) Karakas, Abdulkadir; Altin, Yavuz; Altinok, HifsiIn this article, we introduce the concepts of almost -statistical convergence of order and strongly almost -summability of order for sequences of fuzzy numbers. Also, we establish some relations between the almost -statistical convergence of order and strongly almost -summability of order and we define , where is a modulus function and give some inclusion relations.Öğe Actions of Soft Groups(International Conference on Applied Analysis and Mathematical Modeling, 2017) Oguz, Gulay…Öğe The Equivalence of Soft Group-Groupoids and Soft Crossed Modules(International Conference on Computational Mathematics and Engineering Sciences, 2018) Oguz, Gulay…Öğe Öğe ON LACUNARY STATISTICAL BOUNDEDNESS OF ORDER ALPHA(FACTA UNIVERSITATIS (NIˇS) Ser. Math. Inform., 2016) ET, Mikail; Mohiuddine, Syed A.; Şengül, HacerThe aim of this paper is to introduce and examine the concept of lacunary statistical boundedness of order and give the relations between statistical boundedness and lacunary statistical boundedness of order.Öğe Some basic inequalities for submanifolds of nearly quasi-constant curvature manifolds(Differential Geometry and Dinamical Systems, 2014) Gülbahar, Mehmet; Kılıç, Erol; Keleş, Sadık; Tripathi, Mukut ManiCertain basic inequalities involving the squared mean curvature and one of the Ricci curvature, the scalar curvature and the sectional curvature for a submanifold of quasi-constant curvature manifolds and nearly quasi-constant curvature manifolds are obtained. Equality cases are also discussed.Öğe Special proper pointwise slant surfaces of a locally product Riemannian manifold(Turkish Journal of Mathematics, 2015) Gülbahar, Mehmet; Kılıç, Erol; Saraçoğlu Çelik, SemraThe structure of pointwise slant submanifolds in an almost product Riemannian manifold is investigated and the special proper pointwise slant surfaces of a locally product manifold are introduced. A relation involving the squared mean curvature and the Gauss curvature of pointwise slant surface of a locally product manifold is proved. Two examples of proper pointwise slant surfaces of a locally product manifold, one of which is special and the other one is not special, are given.Öğe A USEFUL ORTHONORMAL BASIS ON BI-SLANT SUBMANIFOLDS OF ALMOST HERMITIAN MANIFOLDS(Tamkang Journal of Mathematics, 2016) Gülbahar, Mehmet; Kılıç, Erol; Keleş, SadıkIn this paper, we study bi-slant submanifolds of an almost Hermitian manifold for different cases. We introduce a new orthonormal basis on bi-slant submanifold, semi-slant submanifold and hemi-slant submanifold of an almost Hermitian manifold to compute Chen’s main inequalities. We investigate these inequalities for semi-slant submanifolds, hemi-slant submanifolds and slant submanifolds of a generalized complex space form. We obtain some characterizations on such submanifolds of a complex space form.Öğe On the sectional curvature of lightlike submanifolds(Journal of Inequalities and Applications, 2016) Kılıç, ErolThe main purpose of this paper is to show how to obtain rigidity theorems with the help of curvature invariants in submanifolds of a semi-Riemannian manifold. For this purpose, the bounded sectional curvature is introduced and some special submanifolds of r-lightlike submanifolds of a semi-Riemannian manifold are investigated.Öğe Chen–Ricci inequalities for submanifolds of Riemannian and Kaehlerian product manifolds(Annales Polonici Mathematici, 2016) Kılıç, Erol; Tripathi, Mukut Mani; Gülbahar, MehmetSome examples of slant submanifolds of almost product Riemannian manifolds are presented. The existence of a useful orthonormal basis in proper slant submanifolds of a Riemannian product manifold is proved. The sectional curvature, the Ricci curvature and the scalar curvature of submanifolds of locally product manifolds of almost constant curvature are obtained. Chen–Ricci inequalities involving the Ricci tensor and the squared mean curvature for submanifolds of locally product manifolds of almost constant curvature are established. Chen–Ricci inequalities for different kinds of submanifolds of Kaehlerian product manifolds are also given.Öğe Ideality of a Coisotropic Lightlike Submanifold(2016) Kılıç, ErolThe notion of best living way on coisotropic lightlike submanifolds is discussed. Some relations involving the screen Ricci curvature and the screen scalar curvature are given. Two examples of coisotropic lightlike submanifolds are mentioned and ideals of leaves of screen distributions in these examples are investigated by the help of these relations.Öğe SHARP INEQUALITIES INVOLVING THE RICCI CURVATURE FOR RIEMANNIAN SUBMERSIONS(2017) Gülbahar, Mehmet; Eken Meriç, Şemsi; Kılıç, ErolIn this paper, we obtain sharp inequalities on Riemannian manifolds admitting a Riemannian submersion and give some characterizations using these inequalities. We improve Chen-Ricci inequality for Riemannian submersion and present some examples which satisfy this inequality.
