The friction factor and heat transfer of Giesekus-fluid-based nanofluids in a pipe flow were studied the ranges 0.5 ≤ Reynolds number (Re) 500, 1 Weissenberg (Wi) 8, 0.5% particle volume concentration (Φ) 3.0%, 0 viscosity ratio (β0) 1, mobility parameter (α) 0.5. Our numerical method was validated by comparing results with available ones literature. effects Wi, Φ, β0, Re, α on relative (Cf/CfN...

LetG = (V,E) be a simple graph. Let u ∈ V (G). u is said to be β0 good if u is contained in a β0-set of G. u is said to beβ0-bad if there exists noβ0-set of G containing u. A graph G is said to be β0excellent if every vertex of G is β0-good. In this paper, many results on β0 excellent are obtained. And some relation between some other parameters are also investigated. Mathematics Subject Classi...

Perturbative O(αs) corrections to B(B̄ → Xsγ) in the BLM approximation receive contributions from two-, threeand four-body final states. While all the two-body results are well established by now, the other ones have remained incomplete for several years. Here, we calculate the last contribution that has been missing to date, namely the one originating from interference of the current-current an...

Jet driving and fragmentation process in collapsing primordial cloud are studied using three-dimensional MHD nested grid simulations. Starting from a rotating magnetized spherical cloud with the number density of nc ≃ 10 cm, we follow the evolution of the cloud up to the stellar density nc ≃ 10 cm. We calculate 36 models parameterizing the initial magnetic and rotational energies (γ0, β0). In t...

Probablistic Model: We start with the assumption that prior to starting a sequence of experiments we have a family of random variables with means that vary linearly with respect to some deterministic independent variable. That is, there exist an intercept β0 and a slope β1 such that for each value of the independent variable x, we have a random variable Y with mean β0 + β1x. We are then given p...

over all (α, β). This gives us our standard least squares estimates (α̂, β̂), whose consistency we will take for granted in the ensuing discussion. Thus: (α̂, β̂) = argmin(α,β) Mn(α, β) . It is not difficult to check that: (α0, β0) = argmin(α,β)M(α, β) , where M(α, β) = P [(Y − α − β X)2] where P is the distribution of (X,Y ). Check that, up to a constant, M is a second order polynomial in (α, β) w...

In this paper, we study a linear system related to the 2d system of Euler equations with thermal conduction in the quasi-isobaric approximation of Kull-Anisimov [14]. This model is used for the study of the ablation front instability, which appears in the problem of inertial confinement fusion. The heat flux ~ Q is given by the Fourier law T−ν ~ Q proportional to ∇T , where ν > 1 is the thermal...

This study is about the effects of Yukawa-like corrections to Newtonian potential on existence and stability noncollinear equilibrium points in a circular restricted three-body problem when bigger primary an oblate spheroid. It observed that ∂x0/∂λ = 0 ∂y0/∂λ at λ0 1/2, so we have critical point 1/2 which maximum minimum values x0 y0 can be obtained, where λ ∈ (0, ∞) range Yukawa force (x0, y0)...