A curiosity regarding the relation between surface level humidity and precipitable water

We have examined the global relation betwen the mean monthly surface level humidity and the precipitable water (Q-W relation) developed by Liu (1986) for its applicability to instantaneous data sets as proposed by Hsu and Blanchard (1989) over the Indian oceanic region. Our analysis using regional instantaneous values of W from Monex-79 in-situ data sets gave an rms error of 5.66gm/kg. This is considerably larger than the rms error of 0.4 gm/kg as obtained by Liu using the global mean monthly relation, thus failing to support Hsu and Blanchard's conjecture. However, a fifth-order polynomial in W derived by us based on instantaneous data indicates an rms error of 0.92 gm/kg.     

On disturbances in a viscoelastic (three-parameter type) medium acted upon by a magnetic field

Summary In this note, the problem of disturbances has been investigated in two perfectly (electrically) conductive media-an ideal liquid and a viscoelastic solid of three-parameter type-acted upon by a magnetic field. The electromagnetic equations of Maxwell and the equations of mechanical motion together with the stress-strain relation of the viscoelastic material of three-parameter type have been used to work out the problem. The results exhibit the predominance of transient behaviour in the displacements as well as in the stresses.     

Solar internal rotation rate and the latitudinal variation of the tachocline

A new set of accurately measured frequencies of solar oscillations is used to infer the rotation rate inside the Sun, as a function of radial distance as well as latitude. We have adopted a regularized least-squares technique with iterative refinement for both 1.5D inversion, using the splitting coefficients, and 2D inversion using individual m splittings. The inferred rotation rate agrees well with earlier estimates showing a shear layer just below the surface and another one around the base of the convection zone. The tachocline or the transition layer where the rotation rate changes from differential rotation in the convection zone to an almost latitudinally independent rotation rate in the radiative interior is studied in detail. No compelling evidence for any latitudinal variation in the position and width of the tachocline is found, although it appears that the tachocline probably shifts to a slightly larger radial distance at higher latitudes and possibly also becomes thicker. However, these variations are within the estimated errors and more accurate data would be needed to make a definitive statement about latitudinal variations.     

Noble gases in the earth's mantle

The abundances and isotopic compositions of noble gases in two samples from ultramafic xenoliths in alkali basalt, a young kaersutitic amphibole separated from a peridotite xenolith from Dish Hill, California and an ancient whole-rock lherzolite xenolith from Baja California, are reported and compared with the results of analyses on other mantle samples. In addition to previously recognized excesses of ³He and ¹²⁹Xe, our results indicate that ambient gases in the mantle show a general enrichment of the lighter-mass nonradiogenic isotopes of Ar, Kr and Xe, and Ar with ⁴⁰Ar/³⁶Ar = 3 · 10².     

Impact of Boundary-Layer Parameterisation Schemes on the Prediction of the Asian Summer Monsoon

The impact of two boundary-layer parameterisation schemes on the prediction of Indian monsoon systems by a global spectral model has been investigated. The turbulent kinetic energy closure scheme shows a positive impact on the prediction of some important synoptic features, including the genesis of monsoon lows, the tracking of monsoon depressions, and precipitation.     

A method for estimating crack-initiation stress of rock materials by porosity

Crack-initiation stress of a rock under compression is the stress level that marks the initiation of the rock microfracturing process or in other words, the onset of new damage to the rock. This paper proposed a simple methodology with justifications to explore the feasibility of using total and effective porosities as estimators of crack-initiation stress of brittle crystalline rock materials under uniaxial compression. The validity/applicability of the proposed method was examined by an experimental study of granitic materials from Malanjkhand, Madhya Pradesh. It was found that effective porosity depicts better correlation with crack-initiation stress than with uniaxial compressive strength of the granitic materials. On the other hand, total porosity does not show any perceptible correlation with uniaxial compressive strength and crack-initiation stress. Plausible reasons for the nature of the obtained results were also explained in view of rock failure process under compression. It is concluded that following the proposed method, effective porosity can be used as a physical index to obtain a quick estimate of crack-initiation stress of the investigated rocks empirically.     

A high strain‐rate constitutive model for sand and its application in finite‐element analysis of tunnels subjected to blast

The paper presents a constitutive model for simulating the high strain‐rate behavior of sands. Based on the concepts of critical‐state soil mechanics, the bounding surface plasticity theory and the overstress theory of viscoplasticity, the constitutive model simulates the high strain‐rate behavior of sands under uniaxial, triaxial and multi‐axial loading conditions. The model parameters are determined for Ottawa and Fontainebleau sands, and the performance of the model under extreme transient loading conditions is demonstrated through simulations of split Hopkinson pressure bar tests up to a strain rate of 2000/s. The constitutive model is implemented in a finite‐element analysis software Abaqus to analyze underground tunnels in sandy soil subjected to internal blast loads. Parametric studies are conducted to examine the effect of relative density and type of sand and of the depth of tunnel on the variation of stresses and deformations in the soil adjacent to the tunnels. Copyright © 2012 John Wiley & Sons, Ltd.     

Ejections of population III objects seen as blueshifted QSOs?

We discuss the origin of the optical jets and the apparently associated cloud of QSOs in NGC 1097. There is a simple explanation for the jets in terms of ejection trails of supermassive black holes. In this interpretation, the trails provide the first direct evidence for the non-conservation of linear momentum in a two black hole collision. The cluster of quasars at the end of the jets is then naturally associated with objects which have been ejected by the merging pair of black holes. It is possible to interpret the spectral lines of these QSOs such that half of them are blueshifted relative to NGC 1097 while the other half is redshifted. We infer that the objects in the QSO cluster are not real QSOs but probably collapsed objects of lower mass. We argue that these objects are likely to represent the hypothetical population III black holes of Carretal.